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http://dx.doi.org/10.3745/KIPSTA.2002.9A.1.099

Generation Method of Bezier Curves and Surfaces on Lie Groups  

Im, Jang-Hwan (중앙대학교 첨단영상대학원)
Kim, Tae-Eun (남서울대학교 공학부 멀티미디어학과)
Publication Information
The KIPS Transactions:PartA / v.9A, no.1, 2002 , pp. 99-104 More about this Journal
Abstract
The goal of this paper is to generalize the concept of Bezier curves and surfaces defined on the vector space $R_n$ to Lie groups, which is a new generation method of curves (called Bezier curves) on Lie groups. The defined Bezier curves and surfaces are alsways smooth because of the properties of Lie groups. We apply this method to smooth motion interpolation or smooth trajectory generation for moving rigid body in space.
Keywords
Bezier curve; Rotation; Lie group;
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