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 2005
形態種別 研究論文(国際会議プロシーディングス)
査読 査読あり
標題 Conic Sections and Meet Intersections in Geometric Algebra
執筆形態 単著
掲載誌名 Springer, Lecture Notes in Computer Science, 3519
掲載区分国外
出版社・発行元 Springer
巻・号・頁 3519,pp.350-362
著者・共著者 HITZER Eckhard
概要 This paper first gives a brief overview over some interesting descriptions of conic sections, showing formulations in the three geometric algebras of Euclidean spaces, projective spaces, and the conformal model of Euclidean space. Second the conformal model descriptions of a subset of conic sections are listed in parametrizations specific for the use in the main part of the paper. In the third main part the meets of lines and circles, and of spheres and planes are calculated for all cases of real and virtual intersections. In the discussion special attention is on the hyperbolic carriers of the virtual intersections.
DOI 10.1007/11499251_25