摘要
共形几何代数是一种新的几何表示和几何计算工具,它具有直观、简洁、高效、统一、雅致等特性。在简单介绍外积、内积和几何积等基本概念之后,重点论述了共形几何代数在图形反射、旋转、平移等变换和刚体运动、螺旋运动等方面的描述和计算方法,并给出了实验示例。共形几何代数在计算机图形学、计算机视觉和机器人学等领域将有广泛应用。
Conformal geometric algebra （CGA） is a kind of new geometric representation and geometric computation tool, and it has properties of geometric intuitiveness, compactness, high efficiency, unification and elegance. After introducing the basic knowledge of geometric algebra such as outer product, inner product and geometric product, this paper focused on the CGA description and computation with graphic reflection, rotation, translation, rigid body motion and screw motion, and gave the experimental demonstrations. CGA promises a bright future in a variety of application areas of computer graphics, computer vi- sion, robotics and so on.
出处
《计算机应用研究》
CSCD
北大核心
2008年第9期2842-2844,共3页
Application Research of Computers
基金
国家自然科学基金资助项目(60773043,60473114)
安徽省自然科学基金资助项目(070416273X)
安徽省教育厅科技创新团队基金资助项目(2005TD03)
关键词
共形几何代数
几何积
图形变换
刚体运动
螺旋运动
conformal geometric algebra
geometric product
graphic transformation
rigid body motion
screw motion
