ICU研究者情報データベース - ヒッツェル, エクハルト

（最終更新日：2021-11-10 21:09:17）

  ヒッツェル，エクハルト   HITZER, Eckhard
  ヒッツェル, エクハルト
   所属   国際基督教大学教養学部アーツ・サイエンス学科

職種上級准教授

■ 学歴

1.	1992/04～1996/03	University of Konstanz (Germany), Dept. of Physics, 物理学研究科卒業 Dr. rer. nat. (Ph.D. of Natural Sciences)
2.	1984/10～1992/03	Technical University of Munich (Germany), Dept. of Physics 物理学研究科 Pure Physics 卒業 Dipl.-Phys. Univ. (M.Sc. in Physics)

■ 職歴

1.	2012/09～	International Christian University, Dep. of Mat. Science, Sen. Ass. Prof.
2.	2007/04～2012/08	University of Fukui, Dept. of Applied Physics, Part Time Lecturer
3.	2004/04～2007/03	University of Fukui, Dept. of Applied Physics, Ass. Prof.
4.	2001/04～2004/03	University of Fukui, Dept. of Mechanical Engineering, Ass. Prof.
5.	1998/07～2001/03	University of Fukui, Dept. of Mechanical Engineering, Lecturer
6.	1996/04～1998/07	Research Institute for Mathematical Sciences, Kyoto University, Postdoctoral research in applied mathematics
7.	1992/10～1995/04	University of Konstanz, Germany Department of Physics Teaching Assistant
5件表示
全件表示(7件)

■ 現在の専門分野

解析学基礎, 幾何学, 代数学, 知能情報学, 数理物理・物性基礎　（キーワード：Clifford algebra, geometric algebra, Sustainability, Theoretical Physics）

■ 主要学科目

Liberal Arts

■ 著書・論文歴

1.	著書	Quaternion and Clifford Fourier Transforms （単著） 2021/09
2.	著書	ebook: 持続可能な世界のために ebook publication （共著） 2021/08
3.	著書	持続可能な世界のために（共著） 2021/08
4.	著書	Christ Centered Stewardship for the Environment – Responsibility, Energy, Care and Architecture （単著） 2021/03
5.	著書	Space Group Visualizer （共著） 2021/03
6.	著書	Advances in Computer Graphics, Proceedings of 36th Computer Graphics International Conference, CGI 2019, Calgary, AB, Canada, June 17–20, 2019 Lecture Notes in Computer Science 11542 （共著） 2019
7.	著書	Quaternion and Clifford Fourier Transforms and Wavelets （共著） 2013
8.	著書	Proc. of the Symposium Innovative Teaching of Mathematics with Geometric Algebra 2003, Nov. 20-22, 2003, RIMS, University of Kyoto, Japan. Proc. of the Symposium Innovative Teaching of Mathematics with Geometric Algebra 2003 1378 （共著） 2003
9.	論文	Foundations for strip adjustment of airborne laserscanning data with conformal geometric algebra Adv. Appl. Clifford Algebras 32(1),pp.1-34 （共著） 2022/02
10.	論文	On Factorization of Multivectors in Cl(3,0), Cl(1,2) and Cl(0,3), by Exponentials and Idempotents Complex Variables and Elliptic Equations （単著） 2022/01
11.	論文	Special affine Fourier transform for space-time algebra signals Lecture Notes in Computer Science 13002,pp.658-669 （単著） 2021/10
12.	論文	Introduction to Clifford’s Geometric Algebra Vixra.org preprint archive （共著） 2021/08
13.	論文	Generalized Uncertainty Principles associated with the Quaternionic Offset Linear Canonical Transform Complex Variables and Elliptic Equations （共著） 2021/04
14.	論文	Strip adjustment of airborne laserscanning data with conformal geometric algebra Joint 11th Int. Conf. on Soft Comp. & Intell. Systems & 21st Int.Symp. on Adv. Intell.Sys SCIS-ISIS pp.1-6 （共著） 2020/12
15.	論文	Heisenberg's and Hardy's uncertainty principles for special relativistic Space-Time Fourier transformation Adv. Appl. Clifford Algebras 30(69),pp.1-29 （共著） 2020/09
16.	論文	First Steps of Vector Differential Calculus rxiv.org preprint archive （単著） 2020/06
17.	論文	Exponential Factorization of Multivectors in Cl(p,q), p+q < 3 Vixra preprint archive （単著） 2020/04
18.	論文	Bericht über 3. Workshop zu Nachhaltiger Universitätsentwicklung mit Schwerpunkt auf Bildung und Verwaltung (SUDem2020) 22nd Feb. 2020, ICU Preprint archive vixra.org （単著） 2020
19.	論文	Exponential Factorization of Multivectors in Cl(p,q), p+q < 3 Preprint archive vixra.org （単著） 2020
20.	論文	Invited review of “An Introduction to Clifford Algebras and Spinors. By Jayme Vaz, Jr. and Roldã o da Rocha, Jr. Oxford University Press, 2019. pp 256. Paperback, ISBN 9780198836285 price GBP 34.99.” Acta Crystallographica Section A: Foundations and Advances (ISSN 2053-2733) 76(2),pp.269-272 （単著） 2020
21.	論文	Polar decomposition of complexified quaternions and octonions Adv. Appl. Clifford Algebras 30(2:23),pp.1-12 （共著） 2020
22.	論文	Report on 3rd Workshop on Sustainable University Development with Focus on Education and Management 22nd Feb. 2020, ICU Preprint archive vixra.org （単著） 2020
23.	論文	第 3 回持続可能な大学の発展「教育とマネージメント」 ( ワークショップ報告 2020 年 2 月 22 日 ), 本報告の翻訳：萩原義久、木村護郎クリストフ Preprint archive vixra.org （単著） 2020
24.	論文	Book review. G. Kuby, R. Spaemann (forword), J. P. Kirchner (translation), The Global Sexual Revolution: Destruction of Freedom in the Name of Freedom, Angelico Press, Kettering, USA, 2015 Sophia Journal of European Studies 11,pp.125-135 （単著） 2019
25.	論文	Conic and Cyclidic Sections in Double Conformal Geometric Algebra G_{8,2} with Computing and Visualization using Gaalop Mathematical Methods in the Applied Sciences 43(1),pp.334-357 （共著） 2019
26.	論文	Conic and Cyclidic Sections in Double Conformal Geometric Algebra G_{8,2} with Computing and Visualization using Gaalop, Mathematical Methods in the Applied Sciences Mathematical Methods in the Applied Sciences （共著） 2019
27.	論文	Conic Conformal Geometric Algebra and Simplified Versors for Rotation, Translation and Scaling Adv. of App. Cliff. Algs. 29(5),pp.96:1-96:16 （共著） 2019
28.	論文	Construction of multivector inverse for Clifford algebras over $2m+1$-dimensional vector spaces from multivector inverse for Clifford algebras over $2m$-dimensional vector spaces Adv. of App. Cliff. Algs. 29(2),pp.29:1-29:22 （共著） 2019
29.	論文	Cubic Curves and Cubic Surfaces from Contact Points in Conformal Geometric Algebra Proceedings of Workshop ENGAGE 2019 at CGI 2019 with Springer LNCS, April 2019 11542,pp.535-545 （共著） 2019
30.	論文	Exponential Factorization and Polar Decomposition of Multivectors in Cl(p,q), p+q <= 3 Preprint archive vixra.org （共著） 2019
31.	論文	Feature Extraction using Conformal Geometric Algebra for AdaBoost Algorithm based In-plane Rotated Face Detection Adv. of App. Cliff. Algs. 29(4),pp.61:1-61:19 （共著） 2019
32.	論文	Foundations of Conic Conformal Geometric Algebra and Compact Versors for Rotation, Translation and Scaling Adv. of App. Cliff. Algs. 29(5:96),pp.1-16 （共著） 2019
33.	論文	Generalized Uncertainty Principles associated with the Quaternionic Offset Linear CanonicalTransform Preprint archive arxiv.org （共著） 2019
34.	論文	Polar decomposition of complexified quaternions and octonions Technical Report, University of Essex, UK (CES-535),pp.1-8 （共著） 2019
35.	論文	Report on Visit of Architects Sitka and Kaserer in Saalfelden, and Social Center Pillertal in Fieberbrunn Near St. Johann, in Tyrol, Austria, We. 13 Mar. 2019 Preprint server Vixra.org, category Social Science pp.1-6 （単著） 2019
36.	論文	Special relativistic Fourier transformation and convolutions Mathematical Methods in the Applied Sciences 42(7),pp.2244-2255 （単著） 2019
37.	論文	Three-dimensional quadrics in conformal geometric algebras and their versor transformations Adv. of App. Cliff. Algs. 29(3:46),pp.1-16 （単著） 2019
38.	論文	Three-dimensional quadrics in extended conformal geometric algebras of higher dimensions from control points, implicit equations and axis alignment Adv. of App. Cliff. Algs. 29(3),pp.57:1-57:22 （共著） 2019
39.	論文	Application of Conformal Geometric Algebra to In-plane Rotated Face Detection by AdaBoost-based Algorithm Early Proceedings of the AGACSE 2018 Conference pp.117-126 （共著） 2018
40.	論文	European Trends in Wood Biomass Energy Cogeneration Sophia Journal of European Studies 10,pp.191-205 （単著） 2018
41.	論文	Offene Vorlesung am 4. Juni 2018 an der International Christian University in Tokyo zu „Building Energy Efficiency, Frameworks in Germany and Europe, Progress in Germany since 1970ies (oil crisis)“ und Executive Luncheon unterstützt vom JSPS-Club Neues vom JSPS-Club, Deutsche Gesellschaft der JSPS Stipendiaten e.V. 72(3),8-9頁（単著） 2018
42.	論文	Quadric Conformal Geometric Algebra of R^{9,6} Adv. of App. Cliff. Algs. 28(2),pp.35:1-35:16 （共著） 2018
43.	論文	Renewable Energy and Energy Efficiency for Japanese RE100 Universities program of 3rd Japanese-German Workshop on Renewable Energies, Tokyo, Japan, 17-19 Oct. 2018. （単著） 2018
44.	論文	Three-dimensional quadrics in hybrid conformal geometric algebra of higher dimensions Early Proceedings of the AGACSE 2018 Conference （単著） 2018
45.	論文	Triple Conformal Geometric Algebra for Cubic Plane Curves Mathematical Methods in the Applied Sciences 41(11),pp.4088-4105 （共著） 2018
46.	論文	Workshop Sustainable University Development mit Fokus auf Energieeffizienz (SUDee2018) an der International Christian University Neues vom JSPS-Club, Deutsche Gesellschaft der JSPS Stipendiaten e.V. 72(3),10-11頁（単著） 2018
47.	論文	Double Conformal Geometric Algebra Adv. of App. Cliff. Algs. 27(3),pp.2175-2199 （共著） 2017
48.	論文	Double Conformal Space-Time Algebra AIP Conf. Proc. 1798(020066),pp.1-10 （共著） 2017
49.	論文	General one-sided Clifford Fourier transform, convolution products in the spatial and frequency domains, and auto-correlation theorems Proceedings of the 17th International Conference on Computational and Math. Methods in Sci. and Eng. pp.1042-1053 （単著） 2017
50.	論文	General steerable two-sided Clifford Fourier transform, convolution and Mustard convolution Adv. of App. Cliff. Algs. 27(1),pp.2215-2234 （単著） 2017
51.	論文	General two-sided quaternion Fourier transform, convolution and Mustard convolution Adv. of App. Cliff. Algs. 27(1),pp.381-395 （単著） 2017
52.	論文	Multivector and multivector matrix inverses in real Clifford algebras Appl. Math. and Comp. 311(C),pp.375-389 （共著） 2017
53.	論文	Quaternionic Wiener-Khinchine theorems and spectral representation of convolution with steerable two-sided quaternion Fourier transform Adv. of App. Cliff. Algs. 27(2),pp.1313-1328 （単著） 2017
54.	論文	SUDre - Workshop über nachhaltige universitäre Energieversorgung in Mitaka/Tōkyō (German) Neues vom JSPS-Club, Deutsche Gesellschaft der JSPS Stipendiaten e.V. 68(3),3-5頁（共著） 2017
55.	論文	Christ Centered Stewardship for the Environment Vixra Preprint Server, General Science and Philosophy. （単著） 2016
56.	論文	Clifford Multivector Toolbox (for MATLAB) Adv. of App. Cliff. Algs. （共著） 2016
57.	論文	Conic and Cyclidic Sections in Double Conformal Geometric Algebra G8,2 Proceedings of 計測自動制御学会システム・情報部門学術講演会2016 (SSI 2016), Session SS11 pp.866-871 （共著） 2016
58.	論文	Double Conformal Geometric Algebra for Quadrics and Darboux Cyclides Association for Computing Machinery Digital Library pp.93-96 （共著） 2016
59.	論文	Operator Exponentials for the Clifford Fourier Transform on Multivector Fields in Detail 26(3),953-968頁（共著） 2016
60.	論文	The Quaternion Domain Fourier Transform and its Properties 26(3),969-984頁（単著） 2016
61.	論文	Demystification of the Geometric Fourier Transforms and resulting Convolution Theorems Mathematical Methods in the Applied Sciences （共著） 2015/09
62.	論文	Moment Invariants for 3D Flow Fields via Normalization Proc The 8th IEEE Pacific Vis Symp (PacificVis 2015), Zhejiang Univ, Hangzhou, China, April 2015 pp.9-16 （共著） 2015/04
63.	論文	Prospects of Modern Wood Gas Cogeneration Renewable Energy Supply in Japan − Case Study of ICU Vixra preprint server, Economics and Finance. （共著） 2015
64.	論文	The orthogonal planes split of quaternions and its relation to quaternion geometry of rotations Proc 30th Int Coll on Gr Th Met i Phys, 14-18 Jul 2014, Ghent, Belgium, IOP J Phys: Conf Ser (JPCS) 597 （単著） 2015
65.	論文	The true riches of Japan: High tech and natural energy can secure Japan’s peace and prosperity, and give a new sustainable peace and prosperity dimension to its overseas development aid Peace Reports of the International Christian University Peace Research Institute 10(2),pp.9-11 （単著） 2015
66.	論文	Moment Invariants for 2D Flow Fields via Normalization in Detail pp.916-929 （共著） 2014/11
67.	論文	Customized TRS Invariants for 2D Vector Fields via Moment Normalization Pattern Recognition Letters 46,pp.46-59 （共著） 2014
68.	論文	Detection of Outer Rotations on 3D-Vector Fields with Iterative Geometric Correlation and its Efficiency Adv. Appl. Clifford Alg. 24(2),pp.403-421 （共著） 2014
69.	論文	Moment Invariants for 2D Flow Fields Using Normalization Proceedings of IEEE Pacific Visualization Symposium (PacificVis) 2014 pp.41-48 （共著） 2014
70.	論文	New Developments in Clifford Fourier Transforms Advances in Applied and Pure Mathematics, Proceedings of the 2014 International Conference on Pure M 29,pp.19-25 （単著） 2014
71.	論文	Operator Exponentials for the Clifford Fourier Transform on Multivector Fields Electronic proceedings of ICCA10, Tartu, Estonia, Aug. 2014. 2014
72.	論文	Preprocessing quaternion data in quaternion spaces using the quaternion domain Fourier transform Proceedings of SICE Symposium on Systems and Information 2014 (SSI 2014), Session SS13-6, catalog No pp.834-839 （単著） 2014
73.	論文	Quaternion Domain Fourier Transform Electronic proceedings of ICCA10, Tartu, Estonia, Aug. 2014 （単著） 2014
74.	論文	Two-sided Clifford Fourier transform with two square roots of −1 in Cl(p,q) Advances in Applied Clifford Algebras 24(2),pp.313-332 （単著） 2014
75.	論文	A General Geometric Fourier Transform Trends in Mathematics 27, Birkhauser, Basel, 2013, pp. 155-176. pp.155-176 （共著） 2013
76.	論文	A General Geometric Fourier Transform Convolution Theorem Adv. Appl. Clifford Alg. 23(1),pp.15-38 （共著） 2013
77.	論文	Algebraic foundations of split hypercomplex nonlinear adaptive filtering Mathematical Methods in the Applied Sciences 36(9),pp.1042-1055 （単著） 2013
78.	論文	Applications of Clifford's Geometric Algebra Adv. Appl. Clifford Alg. 23,pp.377-404 （共著） 2013
79.	論文	Demystification of the Geometric Fourier Transforms AIP Conf. Proc. 1558,pp.525-528 （共著） 2013
80.	論文	Extending Fourier transformations to Hamilton’s quaternions and Clifford’s geometric algebras AIP Conf. Proc. 1558,pp.529-532 （単著） 2013
81.	論文	History of Quaternion and Clifford-Fourier Transforms "Quaternion and Clifford Fourier Transforms and Wavelets", Trends in Mathematics (TIM) 27,pp.xi-xxvii （共著） 2013
82.	論文	Quaternionic Fourier-Mellin Transform Proceedings of 19th ICFIDCAA pp.123-131 （単著） 2013
83.	論文	Representation of Crystallographic Subperiodic Groups in Clifford's Geometric Algebra Adv. Appl. Clifford Alg. 23(4),pp.887-906 （共著） 2013
84.	論文	Square roots of -1 in real Clifford algebras Trends in Mathematics, Vol 27, Birkhauser, Basel, 2013. pp.123-153 （共著） 2013
85.	論文	The Clifford Fourier transform in real Clifford algebras Clifford Analysis, Clifford Algebras and their Applications 2(3),pp.227-240 （単著） 2013
86.	論文	The orthogonal planes split of quaternions Trends in Mathematics 27, Birkhauser, Basel, 2013, pp. 15-39. DOI: 10.1007/978-3-0348-0603-9_2 pp.15-39 （共著） 2013
87.	論文	The quest for conformal geometric algebra Fourier transformations AIP Conf. Proc. 1558,pp.30-33 （単著） 2013
88.	論文	Vector field computations in Clifford's geometric algebra Proc. of the Third SICE Symposium on Computational Intelligence, August 30, 2013, Osaka University, Osaka pp.91-95 （共著） 2013
89.	論文	Clifford Fourier-Mellin transform with two real square roots of -1 in Cl(p,q), p+q = 2 AIP Conf. Proc. 1493,pp.480-485 （単著） 2012
90.	論文	Detection of Outer Rotations on 3D-Vector Fields with Iterative Geometric Correlation electronic Proceedings of AGACSE 2012, La Rochelle, France, 2-4 July 2012. （共著） 2012
91.	論文	Detection of Total Rotations on linear 2D-Vector Fields with Iterative Geometric Correlation AIP Conf. Proc. 1493,pp.190-199 （共著） 2012
92.	論文	Introduction to Clifford's Geometric Algebra SICE Journal of Control, Measurement, and System Integration 51(4) （単著） 2012
93.	論文	Natural Science Education in Germany in 2012 after the 1999 European Bologna Reforms Proceedings of the Meiji University Symposium on Mathematical Education 2012, Meiji University, Toky pp.51-54 （単著） 2012
94.	論文	Survey of Applications of Clifford Algebra SICE Journal of Control, Measurement, and System Integration 51(4) （共著） 2012
95.	論文	Crystal planes and reciprocal space in Clifford geometric algebra Math. Methods in the Applied Sciences 34(12),pp.1421-1429 （単著） 2011
96.	論文	Geometric Roots of –1 in Clifford Algebras Cl(p,q) with p+q <= 4 Adv. In Appl. Cliff. Algebras 21(1),pp.121-144 （共著） 2011
97.	論文	Non-constant bounded holomorphic functions of hyperbolic numbers - Candidates for hyperbolic activation functions Proceedings of the First SICE Symposium on Computational Intelligence pp.23-28 （単著） 2011
98.	論文	OPS-QFTs: A new type of quaternion Fourier transforms based on the orthogonal planes split with one or two general pure quaternions AIP Conf. Proc. 1389,pp.280-283 （単著） 2011
99.	論文	Angles between subspaces Workshop Proceedings: Computer Graphics, Computer Vision and Mathematics 2010, Sep. 07-10 （単著） 2010
100.	論文	Angles Between Subspaces Computed in Clifford Algebra AIP Conf. Proc. 1281,pp.1476-1479 （単著） 2010
101.	論文	A Note on Geometric Algebra and Neural Networks Proc. of 20th Intelligent Systems Symposium (FAN 2010), 25-26 Sep. 2010, Tokyo, Japan pp.116-117 （共著） 2010
102.	論文	Classification and Clustering of Spatial Patterns with Geometric Algebra Geometric Algebra Computing, Springer, New York, 2010 pp.231-247 （共著） 2010
103.	論文	Directional Uncertainty Principle for Quaternion Fourier Transforms Advances in Applied Clifford Algebras 20(2),pp.271-284 （単著） 2010
104.	論文	Interactive 3D Space Group Visualization with CLUCalc and Crystallographic Subperiodic Groups in Geometric Algebra Geometric Algebra Computing, Springer, New York, 2010 pp.385-400 （共著） 2010
105.	論文	Interactive 3D Space Group Visualization with CLUCalc and the Clifford Geometric Algebra Description of Space Groups Adv. Appl. Clifford Alg. 20(3-4),pp.631-658 （共著） 2010
106.	論文	Interactive visualization of plane groups The Journal of the Int. Soc. For the Interdisc. Study of Symmetry (ISIS) 2010(1-4),pp.80-83 （単著） 2010
107.	論文	Interactive Visualization of Plane Space Groups with the Space Group Visualizer Vixra Preprint Server, Condensed Matter. pp.1-36 （単著） 2010
108.	論文	New views of crystal symmetry guided by profound admiration of the extraordinary works of Grassmann and Clifford From Past to Future: Graßmann's Work in Context, Graßmann Bicentennial Conference, September 2009 pp.413-422 （単著） 2010
109.	論文	Reciprocal space and crystal planes in geometric algebra electronic conf. proc. of AGACSE 2010, Amsterdam, The Netherlands, 14-16 June 2010. （単著） 2010
110.	論文	Two-Dimensional Clifford Windowed Fourier Transform Geometric Algebra Computing, Springer, New York, 2010 pp.93-106 （共著） 2010
111.	論文	Windowed Fourier transform of two-dimensional quaternionic signals Appl. Math. and Computation 216(8),pp.2366-2379 （共著） 2010
112.	論文	Algorithm for conversion between geometric algebra versor notation and conventional crystallographic symmetry-operation symbols Vixra Preprint Server, Condensed Matter. pp.1-14 （共著） 2009
113.	論文	Analysis of Point Clouds - Using conformal geometric algebra GRAPP 2008, 3rd Int. Conf. on Computer Graphics Theory and Applications. Proc. pp.99-106 （共著） 2009
114.	論文	Carrier method for the general evaluation and control of pose, molecular conformation, tracking, and the like Advances in Applied Clifford Algebras 19(2),pp.339-364 （共著） 2009
115.	論文	Clifford (Geometric) Algebra Wavelet Transform Proc. of GraVisMa 2009, 02-04 Sep. 2009, Plzen, Czech Republic pp.94-101 （単著） 2009
116.	論文	New views of crystal symmetry The Journal of the Int. Soc. For the Interdisciplinary Study of Symmetry (Special),pp.112-115 （単著） 2009
117.	論文	Real Clifford Algebra Cl(n,0), n = 2,3(mod 4) Wavelet Transform AIP Conf. Proceedings 1168,pp.781-784 （単著） 2009
118.	論文	Visualization of fundamental symmetries in nature Proceedings of Fuzzy System Symposium (FSS 2009), Tsukuba, Japan, 14-16 Jul. 2009 （共著） 2009
119.	論文	An Uncertainty Principle for Quaternion Fourier Transform Computer & Mathematics with Applications 56,pp.2398-2410 （共著） 2008
120.	論文	Basic Multivector Calculus Proc. of 18th Intelligent Systems Symposium (FAN 2008), 23-24 Oct. 2008, Hiroshima, Japan pp.185-190 （単著） 2008
121.	論文	Clifford Fourier Transform on Multivector Fields and Uncertainty Principles for Dimensions n = 2 (mod 4) and n = 3 (mod 4) Adv. App. Cliff. Alg. 18(S 3,4),pp.715-736 （共著） 2008
122.	論文	Clustering of Questionnaire Based on Features Extracted by Geometric Algebra Proc. Joint 4th Int. Conf. on Soft Comp. and Intel. Sys., and 9th Int. Symp. on Adv. Intel. Sys. pp.798-803 （共著） 2008
123.	論文	Coordinate independent update formulas for versor Clifford neurons Proc. Joint 4th Int. Conf. on Soft Comp. and Intel. Sys., and 9th Int. Symp. on Adv. Intel. Sys. pp.814-819 （共著） 2008
124.	論文	Feature Extractions with Geometric Algebra for Classification of Objects Proc. of Int. Joint Conf. on Neural Networks (IJCNN/WCCI2008) Hong Kong, China, 1-4 Jun. 2008 pp.4069-4073 （共著） 2008
125.	論文	Geometric operations implemented by conformal geometric algebra neural nodes Proc. SICE Symposium on Systems and Information 2008, 26-28 Nov. 2008, Himeji, Japan pp.357 – 362 （単著） 2008
126.	論文	Representation of crystallographic subperiodic groups by geometric algebra in E. Bayro-Corrochano, G. Scheuermann (eds.), Electronic Proc. of AGACSE 3, Leipzig, Germany, 17-19 （共著） 2008
127.	論文	Robust geometric feature extraction and classification Proceedings of ISAMPE 2008, Busan, South Korea, 9-11 Oct. 2008 pp.175-182 （共著） 2008
128.	論文	Tutorial Note on Geometric Algebra Neural Networks pp.1-20 （共著） 2008
129.	論文	幾何データからのGeometric Algebra を用いた特徴抽出統計数理　特集「データマイニングと統計数理」［研究ノート］ 56(2),185-198頁（共著） 2008
130.	論文	Clifford Algebra Cl(3,0)-valued Wavelet Transformation, Clifford Wavelet Uncertainty Inequality and Clifford Gabor Wavelets International Journal of Wavelets, Multiresolution and Information Processing 5(6),pp.997-1019 （共著） 2007
131.	論文	Introduction to Theory, Construction and Application of Clifford Neural Networks pp.1-14 （共著） 2007
132.	論文	Optimal Learning Rates for Clifford Neurons International Conference on Artificial Neural Networks, Springer, New York, LNCS 4668,pp.864-873 （共著） 2007
133.	論文	Quaternion Fourier Transform on Quaternion Fields and Generalizations Advances in Applied Clifford Algebras 17(3),pp.497-517 （単著） 2007
134.	論文	Symmetry of orthorhombic materials and interactive 3D visualization in geometric algebra Proceedings of the International Symposium on Advanced Mechanical and Power Engineering 2007 pp.302-312 （共著） 2007
135.	論文	The hidden beauty of gold Proceedings of the International Symposium on Advanced Mechanical and Power Engineering 2007 pp.157-167 （共著） 2007
136.	論文	Tutorial on Fourier Transformations and Wavelet Transformations in Clifford Geometric Algebra Lecture notes of the Int. Workshop for “Computational Science with Geometric Algebra” (FCSG pp.65-87 （単著） 2007
137.	論文	Tutorial on Reflections in Geometric Algebra Lecture notes of the int. Workshop for “Computational Science with Geometric Algebra” (FCSG pp.34-44 （単著） 2007
138.	論文	Clifford Algebra Cl(3,0)-valued Wavelets and Uncertainty Inequality for Clifford Gabor Wavelet Transformation Preprints of Meeting of the Japan Society for Industrial and Applied Mathematics, ISSN: 1345-3378 pp.64-65 （共著） 2006
139.	論文	Clifford Fourier Transformation and Uncertainty Principle for the Clifford Geometric Algebra Cl(3,0) Advances in Applied Clifford Algebras 16(1),pp.41-61 （共著） 2006
140.	論文	Crystallographic space groups: Representation and interactive visualization by geometric algebra Vixra preprint server. （共著） 2006
141.	論文	Foundations of Multidimensional Wavelet Theory: The Quaternion Fourier Transform and its Generalizations Preprints of Meeting of the Japan Society for Industrial and Applied Mathematics, ISSN: 1345-3378 pp.66-67 （単著） 2006
142.	論文	Space Group Visualizer for Monoclinic Space Groups Bulletin of the Society for Science on Form 21(1),pp.38-39 （共著） 2006
143.	論文	The Space Group Visualizer Proceedings of the International Symposium on Advanced Mechanical Engineering, Pusan, 2006. pp.172-181 （共著） 2006
144.	論文	Three Vector Generation of Crystal Space Groups in Geometric Algebra Bulletin of the Society for Science on Form 21(1),pp.55-56 （共著） 2006
145.	論文	Uncertainty Principle for Clifford Geometric Algebras Cl_{n,0} , n = 3 (mod 4) based on Clifford Fourier Transform Springer (SCI) Book Series Applied and Numerical Harmonic Analysis pp.45-54 （共著） 2006
146.	論文	Conic Sections and Meet Intersections in Geometric Algebra Springer, Lecture Notes in Computer Science, 3519 3519,pp.350-362 （単著） 2005
147.	論文	Crystal Cell and Space Lattice Symmetries in Clifford Geometric Algebra International Conference on Numerical Analysis and Applied Mathematics 2005, Wiley-VCH, Weinheim, 20 pp.937-941 （共著） 2005
148.	論文	Full Geometric Description of All Symmetry Elements of Crystal Space Groups by the Suitable Choice of Only Three Vectors for Each Bravais Cell or Crystal Family Proceedings of the International Symposium on Advanced Mechanical Engineering, Pusan, 2005. pp.19-25 （共著） 2005
149.	論文	Interactive Visualization of Full Geometric Description of Crystal Space Groups Proceedings of the International Symposium on Advanced Mechanical Engineering, Pusan, 2005. pp.276-282 （共著） 2005
150.	論文	Relativistic Physics as Application of Geometric Algebra Proceedings of the International Conference on Relativity 2005. pp.71-90 （単著） 2005
151.	論文	The Bottom of Mathematics Education University of Fukui, Fac. Dev. Forum 7,12-12頁（単著） 2005
152.	論文	The GeometricAlgebra Java Package - Novel Structure Implementation of 5D Geometric Algebra R_(4,1) for Object Oriented Euclidean Geometry, Space-Time Physics and Object Oriented Computer Algebra Mem. Fac. Eng. Univ. Fukui 53(1),pp.47-59 （共著） 2005
153.	論文	Uncertainty Principle for the Clifford Geometric Algebra Cl(3,0) based on Clifford Fourier Transform International Conference on Numerical Analysis and Applied Mathematics 2005 pp.922-925 （共著） 2005
154.	論文	6-[3-Hydroxy-17-oxoestra-1,3,5(10)-trien-7[beta]-yl]hexanenitrile Acta Crystallographica Section C 60(2),pp.o130-o132 （共著） 2004
155.	論文	Crystal Cells in Geometric Algebra Proceedings of the International Symposium on Advanced Mechanical Engineering, Fukui, 2004. pp.290-295 （共著） 2004
156.	論文	English Education Reform University of Fukui, Fac. Dev. Forum 4,pp.11-11 （単著） 2004
157.	論文	Euclidean Geometric Objects in the Clifford Geometric Algebra of {Origin, 3-Space, Infinity} Bulletin of the Belgian Mathematical Society - Simon Stevin 11(5),pp.653-662 （単著） 2004
158.	論文	New Ways for Physics Education University of Fukui, Fac. Dev. Forum 5,pp.12-12 （単著） 2004
159.	論文	What is an imaginary number? Support Website for the Linear Algebra Lectures of the University of the Air Japan 2004-2008 pp.1-4 （単著） 2004
160.	論文	Axioms of Geometric Algebra Support Website for the Linear Algebra Lectures of the University of the Air Japan 2004-2008. pp.1-8 （単著） 2003
161.	論文	Conic sections through five points - classical, projective, conformal Proceedings of the International Symposium 2003 of Advanced Mechanical Engineering, Pusan, 2003. pp.109-114 （単著） 2003
162.	論文	Determinants in Geometric Algebra Support Website for the Linear Algebra Lectures of the University of the Air Japan 2004-2008 pp.1-3 （単著） 2003
163.	論文	Geometric Algebra illustrated by Cinderella Advances in Applied Clifford Algebras 13(2),pp.157-181 （共著） 2003
164.	論文	Gram-Schmidt Orthogonalization in Geometric Algebra Support Website for the Linear Algebra Lectures of the University of the Air Japan 2004-2008 pp.1-2 （単著） 2003
165.	論文	KamiWaAi - Interactive 3D Sketching with Java based on Cl(4,1) Conformal Model of Euclidean Space Advances in Applied Clifford Algebras 13(1),pp.11-45 （単著） 2003
166.	論文	Learning about Conic Sections with Geometric Algebra and Cinderella Proc. of the Symposium Innovative Teaching of Mathematics with Geometric Algebra 2003 pp.89-104 （単著） 2003
167.	論文	The geometric product and derived products Support Website for the Linear Algebra Lectures of the University of the Air Japan 2004-2008 pp.1-11 （単著） 2003
168.	論文	The use of quadratic forms in geometric algebra Support Website for the Linear Algebra Lectures of the University of the Air Japan 2004-2008 pp.1-6 （単著） 2003
169.	論文	Geometric Calculus - Engineering Mathematics for the 21st Century Mem. Fac. Eng. Fukui Univ. 50(1),pp.127-137 （単著） 2002
170.	論文	Multivector Differential Calculus Advances in Applied Clifford Algebras 12(2),pp.135-182 （単著） 2002
171.	論文	Play with Geometry - Animated and Interactive, Free, Instant Access, Online Geometric Algebra Java Applets Proceedings of Fukui Univ. Int. Congress, Int. Symp. on Advanced Mech. Engineering, Fukui, 2002. pp.7-12 （共著） 2002
172.	論文	Vector Differential Calculus Mem. Fac. Eng. Fukui Univ. 50(1),pp.127-137 （単著） 2002
173.	論文	Antisymmetric Matrices are Real Bivectors Mem. Fac. Eng. Fukui Univ. 49(2),pp.283-298 （単著） 2001
174.	論文	A real explanation for imaginary eigenvalues and complex eigenvectors Proc. of the Nat. Symp. on Mathematical Sciences, 1-5 March, 2001, Nagpur, India. 1,pp.1-26 （単著） 2001
175.	論文	Early works on the Hagen-Poiseuille flow Mem. Fac. Eng. Fukui Univ. 49(1),pp.45-53 （単著） 2001
176.	論文	Geometric Calculus for Engineers Proc. of the Pukyong National University - Fukui University International Symposium 2001 pp.59-66 （単著） 2001
177.	論文	Imaginary eigenvalues and complex eigenvectors explained by real geometry Applied Geometrical Algebras in Computer Science and Engineering, AGACSE 2001, Birkhauser pp.145-153 （単著） 2001
178.	論文	Classical and Semi-Classical Optics with MAPLE: Investigating a Two-dimensional Light Ray Geometry Proceedings of Teaching Computational Physics, 12th Summer School on Com. Techn. in Physics pp.54-56 （単著） 2000
179.	論文	Closed Light Paths in Equiangular Spiral Disks Advances in Applied Clifford Algebras 10(2),pp.225-257 （単著） 2000
180.	論文	The Geometry of Light Paths for Equiangular Spirals Advances in Applied Clifford Algebras 9(2),pp.261-286 （単著） 1999
181.	論文	New Higgs Field Ansatz for Effective Gravity in Flat Space Time Acta Physica Polonica B 29(4),pp.971-980 （共著） 1998
182.	論文	Integration of Einstein's Equations in the Weak-Field Domain Using the "Einstein" Gauge International Journal of Theoretical Physics 36(2),pp.559-567 （共著） 1997
183.	論文	SU(2) x U(1) Gauge Gravity International Journal of Theoretical Physics 34(9),pp.1981-2001 （共著） 1995
184.	論文	Spin-Gauge Theory of Gravity with Higgs-Field Mechanism International Journal of Theoretical Physics 33(3),pp.575-592 （共著） 1994
5件表示
全件表示(184件)

■ 学会発表

1.	2021/09/21	Special affine quaternion domain Fourier transform（DMV-OeMG Annual Conference 2021, Session M7 Clifford Analysis and Phase Retrieval for Image Processing）
2.	2021/09/06	Special affine Fourier transform for space-time algebra signals（Computer Graphics International 2021 (CGI2021), Workshop Geometric Algebra for Computing, Graphics and Engineering 2021 (ENGAGE2021)）
3.	2021/08/26	Special affine quaternion domain Fourier transform（GOL 2021: International Conference “Applied Category Theory Graph-Operad-Logic”, Professor Zbigniew Oziewicz in memoriam）
4.	2021/08/06	Generalization of special affine Fourier transform to spacetime algebra Cl(3,1)（ISAAC2021, Session on Quaternionic and Clifford Analysis）
5.	2021/03/21	Airborne laserscanning data adjustment with conformal geometric algebra（Workshop on “High-dimensional neuro-dynamics and neuro hardware structure development”）
6.	2020/12/07	Strip Adjustment of Airborne Laserscanning Data with Conformal Geometric Algebra（Joint 11th International Conference on Soft Computing and Intelligent Systems and 21st International Symposium on Advanced Intelligent Systems (SCIS&ISIS2020), OS-14: Modern Applications of Clifford Algebra (online)）
7.	2020/08/07	Exponential Factorization of Multivectors in Cl(p,q), n = p + q <= 3（Mini-Symposium Fourier and other Integral Transformations with Clifford Algebras, Quaternions and Octonions IV (FITCAQO 4) of The 12th International Conference on Clifford Algebras and Their Applications in Mathematical Physics (ICCA12)）
8.	2020/08/04	Airborne Laser Scanning Registration and Conformal Geometric Algebra（Mini-Symposium Geometric Calculi and Deep Learning: a long-term relationship of The 12th International Conference on Clifford Algebras and Their Applications in Mathematical Physics (ICCA12)）
9.	2020/08/03	Opening Speech（The 12th International Conference on Clifford Algebras and Their Applications in Mathematical Physics (ICCA12)）
10.	2019/02/01	Energy saving wooden buildings（2019東京耐震博覧会）
11.	2018/11/10	Geometric Transformations of Conics in Geometric Algebra（Workshop on Information Processing Capacity of High-dimensional Neural Networks, RIEC, Tohoku University, Sendai, Japan）
12.	2018/10/18	Renewable Energy and Energy Efficiency for Japanese RE100 Universities（3rd Japanese-German Workshop on Renewable Energies, Tokyo, Japan）
13.	2018/08/24	Conic Conformal Geometric Algebra（Conference Function Theories in Higher Dimensions 2018 (FTHD2018), University of Tampere, Tampere, Finland）
14.	2018/07/25	Application of Conformal Geometric Algebra to in-plane rotated face detection by AdaBoost-based algorithm（The 7th Conference on Applied Geometric Algebras in Computer Science and Engineering (AGACSE2018), IMECC–UNICAMP, Las Campinas, Brazil）
15.	2018/07/24	3D Quadrics in Hybrid CGA of Higher Dimensions（The 7th Conference on Applied Geometric Algebras in Computer Science and Engineering (AGACSE2018), IMECC–UNICAMP, Las Campinas, Brazil）
16.	2017/12/11	Developing Conformal Geometric Algebra for the Representation of Algebraic Curves and Surfaces（Workshop on Information Processing Capacity of High-dimensional Neural Networks, RIEC, Tohoku University, Sendai, Japan）
17.	2017/09/27	Aspirations of Japanese Universities to Become Sustainable by Means of Energy Efficiency and Renewable Energy（Academic seminar of JSPS Club, Tsukuba, Japan）
18.	2017/08/08	Convolutions for Quaternionic and Clifford Fourier Transforms in spatial and spectral domains（ICCA11）
19.	2017/08/08	Extending MATLAB to handle hypercomplex algebras（ICCA11）
20.	2017/08/07	Extended Conformal Geometric Algebra for the Representation of Algebraic Curves and Surfaces（ICCA11）
21.	2017/07/05	General one-sided Clifford Fourier transform, convolution products in the spatial and frequency domains, and auto-correlation theorems（CMMSE 2017, Session on Hypercomplex Methods in Applied Science, Costa Ballena, Cadiz, Spain）
22.	2017/06/27	Triple Conformal Geometric Algebra for Cubic Plane Curves（Workshop Empowering Novel Geometric Algebra for Graphics & Engineering Workshop (ENGAGE 2017) at Computer Graphics International (CGI 2017), Keio University, Yokohama, Japan）
23.	2016/12/07	Conic and Cyclidic Sections in Double Conformal Geometric Algebra G8,2（SSI 2016, Session SS11, Otsu, Shiga, Japan, 7 Dec. 2016.）
24.	2016/09/12	Double Conformal Geometric Algebra Surface Representation（Workshop on Information Processing Capacity of High-dimensional Neural Networks）
25.	2016/08/25	Modern Applications of Clifford Geometric Algebra（GAGIS Section at 33rd International Geographic Congress）
26.	2016/07/08	Double Conformal Space Time Algebra（ICNPAA 2016）
27.	2016/06/28	Double Conformal Geometric Algebra for Quadrics and Darboux Cyclides（GACSE Workshop at CGI 2016）
28.	2016/06/28	General steerable two-sided Clifford Fourier transform, convolution and Mustard convolution（GACSE Workshop at CGI 2016）
29.	2016/06/27	Conformal geometric algebra（Computer Graphics International 2016）
30.	2016/05/29	Christ centered environmental stewardship（Sustainable Management Forum Japan National Conference）
31.	2015/10/24	Prospects of Modern Wood Gas Cogeneration Renewable Energy Supply in Japan – Case Study of ICU（Japanese Association of Social Accounting National Conference）
32.	2015/07/31	Fourier Transformations in Conformal Geometric Algebra（6th Conference on Applied Geometric Algebras in Computer Science and Engineering (AGACSE 2015), Universitat Politècnica de Catalunya, Barcelona, Spain.）
33.	2015/07/28	Overview of the development of quaternionic Fourier transforms over three decades, from 1987 to 2015: Theory and application（Summer School of 6th Conference on Applied Geometric Algebras in Computer Science and Engineering (AGACSE 2015), Universitat Politècnica de Catalunya, Barcelona, Spain.）
34.	2015/07/27	Basic Notions of Geometric Algebra（Summer School of 6th Conference on Applied Geometric Algebras in Computer Science and Engineering (AGACSE 2015)）
35.	2015/07/20	Modern Applications of Clifford Geometric Algebra（The 20th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering (IKM 2015), Bauhaus University Weimar, Germany）
36.	2015/03/27	Introduction to quaternion and Clifford Fourier transforms（Asian Workshop on Clifford's Geometric Algebra and Information Technology – AWCGAIT2015, University of Science and Technology – The University of Danang, Danang, Vietnam, 26-28 March 2015）
37.	2014/11	Preprocessing quaternion data in quaternion spaces using the quaternion domain Fourier transform（SICE SSI 2014, Session SS13, Okayama, Japan, 21-23 Nov. 2014）
38.	2014/07/19	New Developments in Clifford Fourier Transforms（International Conference on Pure Mathematics, Applied Mathematics, Computational Methods (PMAMCM 2014), Santorini Island, Greece）
39.	2014/07/17	The orthogonal planes split of quaternions and its relation to quaternion geometry of rotations（The 30th International Colloquium on Group Theoretical Methods in Physics (Group30), Ghent University, Belgium）
40.	2014/07/04	Quaternion Domain Fourier Transform（Int. Conf. on Clifford Algs. and their Appls. in Math. Phys., Tartu, Estonia）
41.	2014/01/21	IYCR 2014 - Virtual reality, space groups and Clifford's geometric algebra（Int. Conference on Recent Advances in Mathematics, ICRAM 2014, Nagpur, India）
42.	2013/09/22	The quest for conformal geometric algebra Fourier transformations（10th Symp. on Clifford Analysis and Appl. at the 11th Int. Conf. of Num. Anal. and Appl. Math. 2013, ICNAAM 2013, Rhodes, Greece）
43.	2013/09/21	Extending Fourier transformations to Hamilton’s quaternions and Clifford’s geometric algebras（11th Int. Conf. of Num. Anal. and Appl. Math. 2013, ICNAAM 2013, Rhodes, Greece）
44.	2013/08/13	Vector field computations in Clifford's geometric algebra（Third SICE Symposium on Computational Intelligence, Osaka University, Osaka）
45.	2013/03/09	New way of teaching geometry with physical point of view in mind（Meiji University Symposium on Mathematics Education, Meiji University, Tokyo, Japan）
46.	2012/12/10	The Clifford Fourier Transform in Conformal Geometric Algebra（Workshop on Information Processing Capacity of High-dimensional Neural Networks, Tohoku University, Sendai, Japan）
47.	2012/11/07	Moderne geothermische Energienutzung am Beispiel Islands - Eine aktuelle Erkundungsreise（2. Treffen der in Japan tätigen Mitglieder des JSPS- Clubs Tokyo, Japan）
48.	2012/09/30	Non-constant bounded holomorphic functions of hyperbolic numbers - Candidates for hyperbolic activation functions（First SICE Symposium on Computational Intelligence [Concentrating on Clifford Neural Computing], KIT, Kyoto, Japan）
49.	2012/09/28	Quaternionic generalization of Fourier-Mellin Transform（2nd SICE Symposium on Computational Intelligence “High-Dimensional Approaches and Representations in the Computational Intelligence”, Okayama University, Okayama, Japan）
50.	2012/07/06	The Clifford Fourier transform in real Clifford algebras（IKM 2012, Session Geometric Algebra and Applications, Bauhaus University, Weimar, Germany）
51.	2012/07/03	Two-sided Clifford Fourier Transform with Square Roots of -1 in Cl(p,q)（AGACSE 2012, La Rochelle, France）
52.	2012/03/18	Discussion on Mathematical Experiences（Mathematics Education Symposium 2012, Meiji University, Tokyo, Japan）
53.	2012/03/18	Natural Science Education in Germany in 2012 after the 1999 European Bologna Reforms（Mathematics Education Symposium 2012, Meiji University, Tokyo, Japan）
54.	2012/03/17	English Presentation for Mathematics Students（Mathematics Education Symposium 2012, Meiji University, Tokyo, Japan）
55.	2012/01/20	Introduction to William Kingdon Clifford’s geometric algebras（Research Meeting on Particle Filters, Nagoya University, Japan）
56.	2012	Quaternionic generalization of Fourier Mellin Transform（ICNPAA 2012 Congress: Mathematical Problems in Engineering, Aerospace and Sciences, Vienna, Austria, 11-14 July 2012）
57.	2011/12/14	Quaternionic Fourier Mellin transform（19th ICFIDCAA, Hiroshima, Japan）
58.	2011/09	The OPS-QFT: A new type of quaternion Fourier transform based on the orthogonal planes split with two general pure quaternions（8th Symp. on Clifford Analysis and Appl. at the 9th Int. Conf. of Num. Anal. and Appl. Math. 2011 (ICNAAM 2011), Halkidiki, Greece, 19-25 Sep. 2011.）
59.	2011/08	Crystal planes in Clifford geometric algebra（IUCr Madrid, Spain, 22-29 Aug. 2011.）
60.	2011/07	Square roots of -1 in real Clifford algebras（The 9th Int. Conf. on Clifford Algebras and their Applications (ICCA 2011), Weimar, Germany）
61.	2011/02/18	Mathematics education in the UK（Mathematics Education Symposium, Meiji University, Tokyo, Japan）
62.	2010/12/22	Algebraic foundations of split hypercomplex nonlinear adaptive filtering（2nd Research Meeting of Cooperative Research Program at RIEC, Tohoku University, Sendai, Japan）
63.	2010/09	Angles between subspaces computed in Clifford algebra（7th Symp. on Clifford Analysis and Appl. at the 8th Int. Conf. of Num. Anal. and Appl. Math. 2010 (ICNAAM 2010), Rhodes, Greece, 19-25 Sep. 2010）
64.	2010/08/26	Interactive visualization of plane groups（Symmetry: Art and Science, 8th Congress of Int. Soc. For the Interdisc. Study of Symmetry (ISIS), Days of Harmonics, Gmünd, Austria）
65.	2010/08	Interactive 3D Visualization of Plane Groups and Layer Groups Using the SGV（MS46-T06, 26th European Crystallographic Meeting (ECM26), 29 Aug. – 2 Sep. 2010, Darmstadt, Germany）
66.	2010/08	Introduction to Quaternions and Geometric Algebra and their applications in crystallography,（MaThCryst Satellite Conference at ECM 26 on Minimal Surfaces, Aperiodic Structures, Geometric Algebra, Darmstadt, Germany, 27 – 29 Aug. 2010）
67.	2010/06/15	Reciprocal space and crystal planes in geometric algebra（AGACSE 2010, Amsterdam, The Netherlands）
68.	2010/03/20	Interactive 3D graphics software as a new tool to teach space group symmetry（Meiji University, Tokyo, Japan）
69.	2010/03/19	Reflections on some aspects of mathematical education during the last two centuries and on how to bridge the gap between abstract mathematics and common experiential knowledge（Meiji University, Tokyo, Japan）
70.	2010/03	3D Space Group Visualization with Interactive Crystal Symmetry Software（Dipartimento di Chimica Strutturale e Stereochimica Inorganica, Seminari Chimici, University of Milan, Italy, 3+4 March 2010.）
71.	2010/02/25	Clifford Fourier and Clifford Wavelet Transformations（Seminar on Functional Analysis, Ass. Prof. S. Siltanen, University of Helsinki, Finland）
72.	2010/02/24	Interactive 3D visualization of space group symmetry（Department of Chemistry, Prof. J. Pesonen, University of Helsinki, Finland）
73.	2010/02/24	Introduction to Clifford Fourier and Clifford Wavelet Transformations（Department of Chemistry, Prof. J. Pesonen, University of Helsinki, Finland）
74.	2010	Angles between subspaces（GraVisMa 2010, Brno, Czech Republic, 7-10 Sep. 2010）
75.	2009/12	Neural Computation with Clifford Algebra（Research Meeting of Cooperative Research Program at RIEC, Tohoku University, Sendai, Japan）
76.	2009/09/22	Real Clifford Algebra Cl(n,0), n=2,3(mod 4) Wavelet Transform（ICNAAM, Rethymno, Crete, Greece）
77.	2009/09/07	Brief Introduction to Clifford Geometric Algebra（Faculty of Informatik and Mathematik, University of Leipzig, Germany）
78.	2009/09/07	Clifford Wavelets（Faculty of Informatik and Mathematik, University of Leipzig, Germany）
79.	2009/09	Fourier and Wavelet Transformations in Geometric Algebra（Computer Graphics, Computer Vision and Mathematics, Plzeň, Czech Republic, 2-4 Sep. 2009）
80.	2009/09	New views of crystal symmetry（Symmetries of Forms and Structures, Wroclaw and Cracow, Poland, 14-19 Sep. 2009）
81.	2009/09	New views of crystal symmetry guided by profound admiration of the extraordinary works of Grassmann and Clifford（Grassmann Bicentennial Conf., Potsdam (DE), Szczecin (PL), 16-19. Sep. 2009）
82.	2009/08/07	Clifford Fourier and Clifford Wavelet Transformations（Department of Mathematics, Tampere University of Technology, Tampere, Finland）
83.	2009/07	Geometric Algebra Wavelet Transforms（Workshop Clifford algebras and Lie Groups for multi-dimensional image processing, La Rochelle, France, 2-3 Jul. 2009.）
84.	2009/07	Visualization of Fundamental Symmetries in Nature（Fuzzy System Symposium FSS 2009, University of Tsukuba, Tsukuba, Japan, 14-16 July 2009.）
85.	2009/04/06	Space Group Visualizer – A Demonstration（Nanyang Technological University, Singapore）
86.	2008/12/26	Multivector calculus applied to pose estimation（University of Nagoya, FCS）
87.	2008/12/12	Geometric Algebra and Geometric Calculus with applications to crystal symmetry visualization, wave packets and neural computation（University of Kanazawa, Kanazawa, Japan）
88.	2008/11	Geometric operations implemented by conformal geometric algebra neural nodes（SICE SSI, Himeji, Japan, 26-28 Nov. 2008.）
89.	2008/10/10	Robust geometric feature extraction and classification（ISAMPE 2008, Busan, South Korea）
90.	2008/10	Basic Multivector Calculus（18th Symposium on Intelligent Systems (FAN 2008), Hiroshima, 23-24 Oct. 2008.）
91.	2008/09/19	Coordinate independent node computations of important spinor and versor Clifford neurons（SCIS&ISIS’08, Special Session Complex and Hypercomplex Numbers in Intel. Syst., Nagoya, Japan）
92.	2008/08/25	Interactive 3D Space Group Visualizer（IUCr Osaka, Japan）
93.	2008/08/23	How to teach cubic symmetry groups, using the interactive Space Group Visualizer（Teaching Crystallography in the 21st Century, IUCr Osaka, Japan）
94.	2008/08/19	Classification and Clustering of Spatial Patterns with Geometric Algebra（AGACSE 3, Leipzig, Germany）
95.	2008/08/19	Interactive 3D Space Group Visualization with CLUCalc based on Geometric Algebra（AGACSE 3, Leipzig, Germany）
96.	2008/08/18	Representation of Crystallographic Subperiodic Groups by Geometric Algebra（AGACSE 3, Leipzig, Germany）
97.	2008/08/18	Two-Dimensional Clifford-Windowed Fourier Transform（AGACSE 3, Leipzig, Germany）
98.	2008/06	Feature Extractions with Geometric Algebra for Classification of Objects（WCCI, Hongkong, 1-6 June 2008）
99.	2008/05/29	Geometric Roots of –1（ICCA8, Sao Paulo, Brazil）
100.	2008/05/29	The interactive 3D space group visualizer based on Clifford geometric algebra description of space groups（ICCA8, Sao Paulo, Brazil）
101.	2008/05/27	Geometric Algebra Feature Extraction and Classification（ICCA8, Sao Paulo, Brazil）
102.	2008/03/04	Clifford Algebra Neural Networks（Seminar of The Neural Network Study Group of The Society of Instrument and Control Engineers (SICE), Fukui, Japan）
103.	2008/03/04	Description and visualization of crystal structures by geometric algebra（Symposium on Frontiers of Computational Science, Nagoya, Japan）
104.	2007/11/23	The hidden beauty of gold（Int. Symp. on App. Mech. and Power Engin. 2007, Fukui, Japan）
105.	2007/09/20	Directional uncertainty in Clifford algebra (for multivector integral transforms)（Chinese Academy of Science, Peking, China）
106.	2007/09/14	Clifford geometric algebra description of space groups and interactive 3D space group visualizer（Department of Mathematics, University of Aveiro, Portugal）
107.	2007/09/10	Optimal Learning Rates for Clifford Neurons（Special Session Complex-Valued Neural Networks, ICANN’07 International Conference on Artificial Neural Networks, Porto, Portugal）
108.	2007/09/03	Carrier method for the general evaluation and control of pose, molecular conformation, tracking, etc.（WCAA 2007, Workshop on Clifford Analysis and Applications, "Het Pand", Ghent, Belgium）
109.	2007/09/03	Directional uncertainty principle for quaternion Fourier transform（WCAA 2007, Workshop on Clifford Analysis and Applications, "Het Pand", Ghent, Belgium）
110.	2007/08/22	Multivector integral transforms for multi-dimensional signal processing（Institute of Computer Science and Applied Mathematics, Cognitive Systems, University of Kiel, Germany）
111.	2007/08/17	Foundations of geometric algebra for geometric graph theory（Information Systems Engineering, Prof. Dr. H. J. Klein, University of Kiel, Germany）
112.	2007/08/10	Computer visualization of crystallographic symmetries（Structure Investigation Group, Prof. Dr. H. Fuess, TU Darmstadt, Germany）
113.	2007/08/09	Introduction to the Space Group Visualizer（Lab. for the Appl. of Synchrotron Radiation (LAS), Prof. em. Dr. H. Wondratschek, Univ. of Karlsruhe, Germany）
114.	2007/08/07	Introduction to geometric algebra with examples from computer vision and computer graphics（Center of Research Excellence for Computer Graphics, Darmstadt, Germany）
115.	2007/02	Fourier and Wavelet Transformations in Geometric Algebra（FCS Colloquium, University of Nagoya, Japan）
116.	2006/11	Applications of Clifford Algebra to Fourier Transformation, Wavelets and Crystal Symmetry（Seminar of Chinese Academy of Science, Peking, PR China）
117.	2006/11	Geometric Algebra Tools: 3D Visualization of Crystal Classes and Space Groups（AIST Diamond Institute, Tsukuba, Japan）
118.	2006/11	Interactive Space Group Visualizer（Theoretical Crystallography and Material Science, International Union of Crystallography, Commission on Mathematical and Theoretical Crystallography, Tsukuba, Japan）
119.	2006/10	The Space Group Visualizer（ISAME 2006, Shanghai, PR China）
120.	2006/09	Foundations of Multidimensional Wavelet Theory: The Quaternion Fourier Transform and its Generalizations（JSIAM annual meeting, Tsukuba, Japan）
121.	2006/06	Crystallographic Space Group Symmetry: Representation and Interactive Visualization by Geometric Algebra（26th International Colloquium on Group Theoretical Methods in Physics, New York, USA）
122.	2006/06	Monoclinic Spacegroups in Geometric Algebra: The Spacegroup Visualizer（FTHD, Tampere, Finland）
123.	2006/06	Quaternion Fourier Transforms on Quaternion Fields（FTHD, Tampere, Finland）
124.	2006/06	Three vector generation of crystal space groups in geometric algebra（Symposium on Form 61, Nagoya, Japan）
125.	2005/10	The GeometricAlgebra Java Package – Novel Structure Implementation of 5D Geometric Algebra R_4,1 for Object Oriented Euclidean Geometry, Space-Time Physics and Object Oriented Computer Algebra（ALGI 16, Fukuoka, Japan）
126.	2005/09	Crystal Cell and Space Lattice Symmetries in Clifford Geometric Algebra（ICNAAM 2005, Rhodos, Greece）
127.	2005/09	Uncertainty Principle for the Clifford Geometric Algebra Cl(3,0) based on Clifford Fourier Transform（ICNAAM 2005, Rhodos, Greece）
128.	2005/05	Crystal Cell Symmetries in Geometric Algebra of Crystal Cell Vectors（Symposium on Form 59, Sapporo, Japan）
129.	2005/05	Geometric Algebra and Interactive Visualization of Crystal Groups（ICCA7, Toulouse, France）
130.	2005/01	Special Relativity as Application of Geometric Algebra（Int. Conference on Relativity 2005, Amravati, India）
131.	2004/11	Crystal Cells in Geometric Algebra（International Symposium on Advanced Mechanical Engineering, Fukui, Japan）
132.	2004/05	Conic Sections in Geometric Algebra（Geometric Invariance and Applications in Engineering, Xian, PR China）
133.	2003/11	Conic Sections Through Five Points - Classical, Projective, Conformal（Pukyong National University - Fukui University, Symposium on Advanced Mechanical Engineering, 23-24 Nov. 2003, Pukyong National University, Busan, Korea）
134.	2003/11	Learning about Conic Sections with Geometric Algebra and Cinderella（Innovative Teaching of Mathematics with geometric algebra - New Concepts and Cutting Edge Technology Applied to Mathematical Education, Int. Symposium 2003.11.20-22, Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan）
135.	2003/07	Homogeneous Model of Euclidean Space in the Cl(4,1) Algebra of {origin, 3-space, infinity} and Java Implementation（The 5th Int. Cong. on Industrial and Appl. Math., Minisymposium: Clifford Algebras, Cliff. Analysis and Appl. I: Algebras, Extensions and Appl., Sidney, Australia）
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■ 講師・講演

1.	2020/08/12	Exponential factorization of multivectors in Clifford algebras（Department of Mathematics, Technische Universitaet Bergakademie Freiberg, Germany）
2.	2019/11/27	On some application of Clifford algebra in natural science（Department of Mathematics, Faculty of Sciences, University of Moulay Ismail, Meknes, Morocco）
3.	2019/10/03	Sustainability Movements in Fashion Industry（Austrian Embassy Tokyo）
4.	2018/08/26	Quadrics from surface points in comformal geometric algebra（Department of Mathematics, University of Science and Technology of China (USTC), Heifei, Anhui, China）
5.	2018/07/05	Geometric Algebra and Physics: Examples of special relativity and space group visualization（Institute for Theoretical Physics, Heidelberg University, Heidelberg, Germany）
6.	2016/12/21	Space group symmetry -> geometry+algebra -> computer graphics（University of Tokyo, Japan.）
7.	2016/10/17	Symmetry in the Universe, Sustainability of Nature? Where Theology, Environment, and Physics Meet（Alumni House, ICU.）
8.	2016/09/28	Seeing Unseen Beauty（Super Deluxe, Roppongi, Tokyo, Japan）
9.	2016/08/19	Quaternionic and Clifford Fourier Transforms, Convolution and Mustard Convolution（University of Macao, Faculty of Science and Technology, Department of Mathematics, Macao, China）
10.	2016/08/19	Quaternionic and Clifford Fourier Transforms, Convolution and Mustard Convolution（University of Macao, Faculty of Science and Technology, Department of Mathematics, PR China.）
11.	2016/07/07	Double Conformal Geometric Algebra for Quadrics and Darboux Cyclides（University of Poitiers, Poitiers, France）
12.	2015/11/10	Geometric algebra applied to motion capture（Okayama University, Japan.）
13.	2015/10/21	Modern Applications of Clifford’s Geometric Algebra（University of Tokyo, Japan）
14.	2014/11/12	IYCR 2014: Interactive 3D visualization of crystal symmetry space groups based on Clifford's geometric algebra（University of Tokyo, Japan）
15.	2014/03/19	Generalization of Fourier transformations to W.R. Hamilton's quaternions and W.K. Clifford's geometric algebras
16.	2013/03/09	With students about modern mathematics education (in English, 90 Min)
17.	2013/03/05	Geometric Fourier and Wavelet Transformations
18.	2013/03/04	Introduction to William Kingdon Clifford's geometric algebras
19.	2012/08/06	Splitting quaternions: Geometric interpretation, consequences and generalizations to real Clifford algebras
20.	2012/07/07	Applications of Clifford’s Geometric Algebra
21.	2011/09/28	Quaternion Fourier Transformations
22.	2011/09/16	Clifford and Quaternion Fourier Transformations
23.	2011/06/13	Clifford's geometric algebra brings new understanding
24.	2011/02/19	The student perspective of mathematics education in Japan II
25.	2011/02/18	The student perspective of mathematics education in Japan I
26.	2010/09/02	Introduction to Geometric Algebra
27.	2010/09	Clifford geometric algebra neural networks
28.	2008/08/17	Clifford geometric algebra integral transformations
29.	2008/08/17	Clifford geometric algebra neural networks
30.	2007/11/13	Introduction to Theory, Construction and Application of Clifford Neural Networks
31.	2007/02	Summary of Reflections in Geometric Algebra
32.	2007/02	Tutorial on Fourier Transformations in Geometric Algebra
33.	2007/02	Tutorial on Reflections in Geometric Algebra
34.	2007/02	Tutorial on Wavelet Transformations in Geometric Algebra
35.	2005/12	How crystal geometry creates crystal symmetry, geometric representation and computer visualization
36.	2005/09	Uncertainty Principle for the Clifford Geometric Algebra Cl(3,0) based on Clifford Fourier Transform
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■ 所属学会

1.	2019/11～	Japanese Corporate Social Accounting and Reporting Association (JCSARA)
2.	2019/08～	Special Interest group in Quaternionic and Clifford Analysis of the ISAAC Soc.
3.	2016/04～	Visiting Fellow of Europa Institute of Sophia University, Tokyo, Japan
4.	2015/04～2018/03	Sustainable Management Forum Japan
5.	2012/03～	Deutsche Gesellschaft der JSPS-Stipendiaten e.V. (JSPS Alumni Association in Germany)
6.	2010/08～2011/08	International Society for the Interdisciplinary Study of Symmetry (ISIS)
7.	2010/05～	Task Force on Complex-Valued Neural Networks in the IEEE Computational Intelligence Society (CIS) Neural Networks Technical Committee
8.	2009/11～2013/12	Japanese Society of Industrial and Applied Mathematics (JSIAM), Wavelet Activity Group
9.	2009/05～	American Mathematical Society (AMS)
10.	2008/01～	The Society of Instrument and Control Engineers (SICE) JapanSICE Technical Committee on Neural NetworksSICE Research Committee for Innovative Computing
11.	2007/06～2015/12	European Neural Network Society (ENNS)
12.	2007/05～	Dep. Dir. ofC.A.I.R.O.S., Lab Math Emile Picard, Institut Math Toulouse, Univ Paul Sabatier, France.
13.	2002/09～	Christlicher Astronomie Verein International (CAVi)
14.	1999/11～	Physical Society of Japan
15.	1991/01～	German Physical Society (DPG), Sections: Theoretical and Mathematical Foundations of Physics, Crystallography
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■ 教育上の実績

●作成した教科書、教材
1.	2003	Proc. of the Symposium Innovative Teaching of Mathematics with Geometric Algebra 2003
2.	2004	Axioms of Geometric Algebra
3.	2004	Determinants in Geometric Algebra
4.	2004	English Educ. Reform
5.	2004	Gram-Schmidt Orthogonalization in Geometric Algebra
6.	2004	The geometric product and derived products
7.	2004	The use of quadratic forms in geometric algebra
8.	2004	Ways for Physics Education
9.	2004	What is an imaginary number?
10.	2005	The Bottom of Mathematics Education
11.	2007	Introduction to Theory, Construction and Application of Clifford Neural Networks
12.	2007	Tutorial on Fourier Transformations and Wavelet Transformations in Clifford Geometric Algebra
13.	2007	Tutorial on Reflections in Geometric Algebra
14.	2008/08	Tutorial Note on Geometric Algebra Neural Networks
15.	2009	Algorithm for conversion between geometric algebra versor notation and conventional crystallographic symmetry-operation symbols
16.	2010	Interactive Visualization of Plane Space Groups with the Space Group Visualizer
17.	2012/03	Natural Science Education in Germany in 2012 after the 1999 European Bologna Reforms
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■ 職務上の実績

●その他職務上特記すべき事項
1.		Harmonic analysisClifford Algebra, geometry and neural computing Clifford Algebra, symmetry and visualization

■ 受賞学術賞

1.	2020/12	Award committee of Joint 11th International Conference on Soft Computing and Intelligent Systems and 21st International Symposium on Advanced Intelligent Systems (SCIS&ISIS2020) SCIS&ISIS2020 Best Presentation Award (Strip Adjustment of Airborne Laserscanning Data with Conformal Geometric Algebra)
2.	2020/12	Award committee of Joint 11th International Conference on Soft Computing and Intelligent Systems and 21st International Symposium on Advanced Intelligent Systems December 5-7, 2020 SCIS&ISIS2020 Good Moderator Award (SCIS&ISIS2020 Good Moderator Award for excellent contributions as a chair of online session)
3.	2014/09	IEEE SCIVIS IEEE SCIVIS Honorable Mention Award (IEEE SCIVIS (2014/11/9-14) Honorable Mention Award for "Moment Invariants for 3D Flow Fields")
4.	2014/03	IEEE Pacific Visualization 2014 conference IEEE Pacific Visualization 2014 Best Paper Award (Best Paper Award at IEEE Pacific Visualization 2014 conference, March 4-7, 2014, Yokohama, Japan, for "Moment Invariants for 2D Flow Fields Using Normalization")
5.	2013/09	European Society of Computational Methods in Sciences, Engineering and Technology (ESCMSET) ESCMSET Honorary Fellowship (ESCMSET awards Prof. Dr. Eckhard Hitzer with its highest disctinction of "Honorary Fellowship" for his outstanding contr. in the field of Appl. Math.Prof. Dr. T.E. SimosAcademician of the EASA, EAS, EAASLPres. of the ESCMSETChair ICNAAM 2013)

■ 研究課題・受託研究・科研費

1.	2020/02～2020/02	German JSPS Alumni Association for Third Workshop on Sustainable University Development with Focus on Education and Management (SUDem2020) その他の補助金・助成金（キーワード：Sustainability, Education, Management）
2.	2020/02～2020/02	Third Workshop on Sustainable University Development with Focus on Education and Management (SUDem2020) その他の補助金・助成金（キーワード：Sustainable, Education, Management）
3.	2018/09～2018/09	German JSPS Alumni Association for Second Workshop on Sustainable University Development with Focus on Energy Efficiency (SUDee2018) その他の補助金・助成金（キーワード：Sustainability, Energy Efficiency, Development）
4.	2018/09～2018/10	Hypercomplex Color Image Processing 国際共同研究（キーワード：Hypercomlex algebras, Image processing）
5.	2018/09～2018/09	Second Workshop on Sustainable University Development with Focus on Energy Efficiency (SUDee2018) その他の補助金・助成金（キーワード：Sustainability, Energy Efficiency, Development）
6.	2017/05～2017/05	First Workshop on Sustainable University Development with Focus on Renewable Energy (SUDre2017) その他の補助金・助成金（キーワード：Sustainability, Renewable Energy, Development）
7.	2017/05～2017/05	Japan ICU Foundation Grant for First Workshop on Sustainable University Development with Focus on Renewable Energy (SUDre2017) その他の補助金・助成金（キーワード：Sustainability, Renewable Energy, Development）
8.	2015/06～2015/07	DAAD RISE Program Intern Scholarship for scientific work with Mr. Burak Cakir, 3rd year mathematics bachelor student of Department of Mathematics, University of Heidelberg, Germany. Project: 3D Space Group Visualization Videos その他
9.	2015/03～2015/08	London Mathematical Society (LMS) Grant to Dr. S. J. Sangwine, University of Essex, UK, for Support of collaborative research with Dr. E. Hitzer. (March 2015: S. Sangwine at ICU, August 2015: E. Hitzer at Univ. of Essex.) Amount: 1200 GBP.
10.	2014/05～2015/03	Grant from the ICU Endowment to Support Research for Renewable Energy and Energy Efficient Building at the ICU, together with T. Kibe, M. Langager, and N. Miyazaki. 学内特定研究
11.	2014/01～2014/01	ICU Int. Ac. Exch. Endowment grant for giving an invited lecture "IYCR 2014 - Virtual reality, space groups and Clifford's geom. alg." at the Int. Conf. on Recent Adv. in Math. (ICRAM 2014) held at the Univ. of Nagpur, Maharashtra state, India.
12.	2014～	Clifford algebra multivector software
13.	2011～	Directional Clifford Wavelets.
14.	2010～	Clifford and Quaternion Algebra Signal Processing.
15.	2010～	Hypercomplex Neural Networks.
16.	2009～	Clifford Algebra Fourier Transforms and Wavelets Applied to Mathematical Visualization.
17.	2008～	Clifford Algebra in Crystallography
18.	2008～	Geometric roots of –1, New types of FT and wavelet transforms.
19.	2007～	Algorithms for Multivector Data Mining and Shape Estimation.
20.	2006～	Application of Geometric Algebra to Multidimensional Statistical Modeling and Neural Networks
21.	2004/10～2004/12	University of Fukui Special Presidential Research Grant: Fukui Cambridge (UK) Coop. Res. On Geometric Algebra Applied To Structural Dynamics
22.	2004/04～2004/09	University of Fukui Priority Research Grant for Research and Development of New Interactive Mathematics Teaching Environment その他
23.	2004～2004	Development of New Interactive Mathematics Teaching Environment
24.	2004～2004	Geometric Algebra Applied To Structural Dynamics
25.	2004～	www.spacegroup.infoInteractive Visualization of 32 Three-dimensional Point GroupsInteractive Visualization of 17 Two-dimensional Space GroupsSpace Group Visualizer: 230 Three-dimensional Space Groups Space Group Visualizer (commercial software: www.raytrix.de)
26.	2003/11～2003/11	Research Institute of Mathematical Sciences, University of Kyoto, Special Research Plan Grant for International Symposium: Innovative Teaching of Mathematics with Geometric Algebra その他
27.	2003～	Protein Structure Determination
28.	2003～	SourceForge Project: GeometricAlgebra Java Package, KamiWaAi Java Application
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■ ホームページ

Geometric Algebra at ICU Tokyo

GA-Net Updates (blog) for Electronic Newsletter for Everyone Interested in Clifford Algebra and Geometric Algebra

Sustainable University Development Workshops blog site

Renewable Energy and Energy Efficient Building at ICU Seminar blog

30 good reasons for ICU to aim for 100% renewable energy - blog

■ 科研費研究者番号

00646375