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
言語種別	英語
発行・発表の年月	2009
形態種別	研究論文（学術雑誌）
査読	査読あり
標題	Carrier method for the general evaluation and control of pose, molecular conformation, tracking, and the like
執筆形態	共著
掲載誌名	Advances in Applied Clifford Algebras
掲載区分	国外
出版社・発行元	Birkhaeuser, Basel, Switzerland
巻・号・頁	19(2),pp.339-364
著者・共著者	HITZER Eckhard, Kanta Tachibana, Sven Buchholz, Isseki Yu
概要	The four basic geometric objects of points, point pairs, circles and spheres correspond to outer product null-spaces constructed by conformal points in conformal geometric algebra. Wedging with the infinity point we get four flat objects: finite-infinity point pairs, lines, planes and the whole 5D space. We show that all these basic geometric objects have the same algebraic structure. We then develop a single general algebraic method to quantify and interpolate the relative pose of the eight different classes of objects. As an explicit example we finally apply our framework to the conformation of organic macromolecules.
DOI	10.1007/s00006-009-0160-9