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中文摘要：
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。
英文摘要：
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.
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The dual bases for the Bézier -Said- Wang type generalized Ball polynomial bases and their applicati
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