Scholarlink

This paper describes the Geometric Algebra for Quadrics (GAQ) with a focus on elements representing Euclidean transformations, particularly translations and rotations. We provide general methods of deriving the generators of such transformations and verify their correctness on examples. We also show the way of the actual versors calculations numerically, yet their exact form is rather technical and extensive because of the high dimension of GAQ.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Rotation and Translation in Geometric Algebra for Quadrics

  • 会议论文

  • 发表日期：

    2026年

查看全文
  • Aleš Návrat,
  • Ludvík Procházka,
  • Petr Vašík

摘要

This paper describes the Geometric Algebra for Quadrics (GAQ) with a focus on elements representing Euclidean transformations, particularly translations and rotations. We provide general methods of deriving the generators of such transformations and verify their correctness on examples. We also show the way of the actual versors calculations numerically, yet their exact form is rather technical and extensive because of the high dimension of GAQ.