Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra

Hrdina Jaroslav; Navrat Ales; Vasik Petr; Dorst Leo

首页> 外文期刊>Advances in applied Clifford algebras >Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra

【24h】

Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra

机译：投影几何代数作为共形几何代数的子晶代

获取原文

获取原文并翻译 | 示例

获取外文期刊封面封底 >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

We show that if Projective Geometric Algebra (PGA), i.e. the geometric algebra with degenerate signature (n, 0, 1), is understood as a subalgebra of Conformal Geometric Algebra (CGA) in a mathematically correct sense, then flat primitives share the same representation in PGA and CGA. Particularly, we treat duality in PGA in the framework of CGA. This leads to unification of PGA and CGA primitives which is important especially for software implementation and symbolic calculations.

机译：None

著录项

来源
《Advances in applied Clifford algebras》 |2021年第2期|共14页
作者
Hrdina Jaroslav; Navrat Ales; Vasik Petr; Dorst Leo;
展开▼
作者单位

Brno Univ Technol Inst Math Fac Mech Engn Brno Czech Republic;

Brno Univ Technol Inst Math Fac Mech Engn Brno Czech Republic;

Brno Univ Technol Inst Math Fac Mech Engn Brno Czech Republic;

Univ Amsterdam Inst Informat Fac Sci Amsterdam Netherlands;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Conformal geometric algebra; Projective geometric algebra; Euclidean geometry;

机译：保形几何代数;投影几何代数;欧几里德几何;

相似文献

外文文献
中文文献
专利

1. Valid Geometric Solutions for Indentations with Algebraic Calculations [J] . Gerd Kaupp 理论数学进展（英文） . 2020,第005期
2. Scattering of Geometric Algebra Wave Functions and Collapse in Measurements [J] . Alexander Soiguine 应用数学与应用物理（英文） . 2020,第009期
3. Direct Linear Interpolation of Geometric Objects in Conformal Geometric Algebra [J] . Hadfield H., Lasenby J. Advances in applied Clifford algebras . 2019,第4期

机译：共形几何代数中的几何对象的直接线性插值
4. Geometric Error Modeling of Parallel Manipulators Based on Conformal Geometric Algebra [J] . Lian Binbin Advances in applied Clifford algebras . 2018,第1期

机译：基于共形几何代数的并联机械手几何误差建模
5. Geometric techniques for robotics and HMI: Interpolation and haptics in conformal geometric algebra and control using quaternion spike neural networks [J] . Bayro-Corrochano Eduardo, Lechuga-Gutierrez Luis, Garza-Burgos Marcela Robotics and Autonomous Systems . 2018,第期

机译：机器人和HMI的几何技术：使用四元数尖峰神经网络的共形几何代数的插值与触觉
6. Constrained Dynamics in Conformal and Projective Geometric Algebra [C] . Hugo Hadfield, Joan Lasenby Computer Graphics International Conference . 2020

机译：在共形和投影几何代数中的受限动态
7. THE CYCLIC MODULE STRUCTURES OF THE HOPF SUBALGEBRA A2 OVER THE STEENROD ALGEBRA AND THEIR GEOMETRIC REALIZATION. [D] . ROTH, MARILYN JEAN -1

机译：斯登罗德代数上的Hopf子代数A2的循环模结构及其几何实现。
8. Evaluating a Semiautonomous Brain-Computer Interface Based on Conformal Geometric Algebra and Artificial Vision [O] . Mauricio Adolfo Ramírez-Moreno, David Gutiérrez 2019

机译：基于共形几何代数和人工视觉的半自治脑机接口评估
9. Fixed point subalgebras of Weil algebras: from geometric to algebraic questions [O] . Miroslav Kureš 2011

机译：Weil代数的固定点子晶格：从几何到代数问题
10. Value distribution theory of holomorphic curves into complex projective algebraic varieties and geometric diophantine problems [R] . Kobayashi, R. 1994

机译：全纯曲线在复射影代数变种和几何不定相变问题中的价值分布理论

Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra

摘要

著录项

相似文献

相关主题

期刊订阅