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 2012
形態種別 研究論文(学術雑誌)
査読 査読あり
標題 Introduction to Clifford's Geometric Algebra
執筆形態 単著
掲載誌名 SICE Journal of Control, Measurement, and System Integration
掲載区分国内
巻・号・頁 51(4)
著者・共著者 HITZER Eckhard
概要 Geometric algebra was initiated byW.K. Clifford over 130 years ago. It unifies all branches of physics, and has found rich applications in robotics, signal processing, ray tracing, virtual reality, computer vision, vector field processing, tracking, geographic information systems and neural computing. This tutorial explains the basics of geometric algebra, with concrete examples of the plane, of 3D space, of spacetime, and the popular conformal model. Geometric algebras are ideal to represent geometric transformations in the general framework of Clifford groups (also called versor or Lipschitz groups). Geometric (algebra based) calculus allows e.g. to optimize learning algorithms of Clifford neurons, etc.