找回密码
 To register

QQ登录

只需一步,快速开始

扫一扫,访问微社区

Titlebook: Geometric Algebra: An Algebraic System for Computer Games and Animation; John Vince Textbook 2009 Springer-Verlag London 2009 3D.algebra.a

[复制链接]
查看: 31968|回复: 43
发表于 2025-3-21 16:49:52 | 显示全部楼层 |阅读模式
书目名称Geometric Algebra: An Algebraic System for Computer Games and Animation
编辑John Vince
视频video
概述Uses 3D colour drawings and tabulations of algebraic expansions to reveal a new way of looking at the algebra
图书封面Titlebook: Geometric Algebra: An Algebraic System for Computer Games and Animation;  John Vince Textbook 2009 Springer-Verlag London 2009 3D.algebra.a
描述.Geometric algebra is still treated as an obscure branch of algebra and most books have been written by competent mathematicians in a very abstract style. This restricts the readership of such books especially by programmers working in computer graphics, who simply want guidance on algorithm design...Geometric algebra provides a unified algebraic system for solving a wide variety of geometric problems. John Vince reveals the beauty of this algebraic framework and communicates to the reader new and unusual mathematical concepts using colour illustrations, tabulations, and easy-to-follow algebraic proofs. ..The book includes many worked examples to show how the algebra works in practice and is essential reading for anyone involved in designing 3D geometric algorithms..
出版日期Textbook 2009
关键词3D; algebra; algorithms; animation; computer; computer graphics; reflection
版次1
doihttps://doi.org/10.1007/978-1-84882-379-2
isbn_softcover978-1-4471-6878-2
isbn_ebook978-1-84882-379-2
copyrightSpringer-Verlag London 2009
The information of publication is updating

书目名称Geometric Algebra: An Algebraic System for Computer Games and Animation影响因子(影响力)




书目名称Geometric Algebra: An Algebraic System for Computer Games and Animation影响因子(影响力)学科排名




书目名称Geometric Algebra: An Algebraic System for Computer Games and Animation网络公开度




书目名称Geometric Algebra: An Algebraic System for Computer Games and Animation网络公开度学科排名




书目名称Geometric Algebra: An Algebraic System for Computer Games and Animation被引频次




书目名称Geometric Algebra: An Algebraic System for Computer Games and Animation被引频次学科排名




书目名称Geometric Algebra: An Algebraic System for Computer Games and Animation年度引用




书目名称Geometric Algebra: An Algebraic System for Computer Games and Animation年度引用学科排名




书目名称Geometric Algebra: An Algebraic System for Computer Games and Animation读者反馈




书目名称Geometric Algebra: An Algebraic System for Computer Games and Animation读者反馈学科排名




单选投票, 共有 1 人参与投票
 

0票 0.00%

Perfect with Aesthetics

 

1票 100.00%

Better Implies Difficulty

 

0票 0.00%

Good and Satisfactory

 

0票 0.00%

Adverse Performance

 

0票 0.00%

Disdainful Garbage

您所在的用户组没有投票权限
发表于 2025-3-21 22:24:02 | 显示全部楼层
Direkte Blutdruckmessung Beim Menschenplace about the origin, standard vectorial techniques enable them to be translated to other positions in space.We begin with reflections as they provide a cunning way to implement rotations. The first type of reflection is relative to a line and the second type is relative to a mirror plane.
发表于 2025-3-22 03:44:48 | 显示全部楼层
发表于 2025-3-22 08:12:13 | 显示全部楼层
Products,o surface in geometric algebra. So this chapter should be regarded as laying the foundations for geometric algebra..We begin by investigating real, complex and quaternion products, where each one reveals a consistent pattern that continues throughout the vector products covered in chapter 3.
发表于 2025-3-22 09:35:41 | 显示全部楼层
Reflections and Rotations,place about the origin, standard vectorial techniques enable them to be translated to other positions in space.We begin with reflections as they provide a cunning way to implement rotations. The first type of reflection is relative to a line and the second type is relative to a mirror plane.
发表于 2025-3-22 13:42:39 | 显示全部楼层
Applied Geometric Algebra, vector-bivector inner product is useful for rotating vectors and that the vector outer product is very useful in resolving problems where oriented areas are involved. To begin, we take a look at some simple geometric proofs and start with the familiar sine rule.
发表于 2025-3-22 18:12:40 | 显示全部楼层
发表于 2025-3-22 22:25:41 | 显示全部楼层
https://doi.org/10.1007/978-3-322-85495-7In this chapter we examine the products that arise when combining scalars, vectors, bivectors and trivectors in 3D. Some of the products have been covered in earlier chapters, but there are some new ideas that require explanation.We begin with the simple scalar-vector product.
发表于 2025-3-23 02:56:10 | 显示全部楼层
The Geometric Product,In this chapter we introduce the geometric product which unites the inner (scalar) product with the outer product. The resulting algebra opens up a totally new way for manipulating vectors and their close relations bivectors and trivectors and higher-order objects.
发表于 2025-3-23 06:38:55 | 显示全部楼层
Products in 3D,In this chapter we examine the products that arise when combining scalars, vectors, bivectors and trivectors in 3D. Some of the products have been covered in earlier chapters, but there are some new ideas that require explanation.We begin with the simple scalar-vector product.
 关于派博传思  派博传思旗下网站  友情链接
派博传思介绍 公司地理位置 论文服务流程 影响因子官网 SITEMAP 大讲堂 北京大学 Oxford Uni. Harvard Uni.
发展历史沿革 期刊点评 投稿经验总结 SCIENCEGARD IMPACTFACTOR 派博系数 清华大学 Yale Uni. Stanford Uni.
|Archiver|手机版|小黑屋| 派博传思国际 ( 京公网安备110108008328) GMT+8, 2025-5-26 04:26
Copyright © 2001-2015 派博传思   京公网安备110108008328 版权所有 All rights reserved
快速回复 返回顶部 返回列表