Computer Graphics & Generation Method of Bezier Curves and Surfaces on Lie Groups


KIPS Transactions on Computer and Communication Systems, Vol. 9, No. 1, pp. 99-104, Mar. 2002
10.3745/KIPSTA.2002.9.1.99,   PDF Download:

Abstract

The goal of this paper is to generalize the concept of B zier curves and surfaces defined on the vector space to Lie groups, which is a new generation method of curves (called B zier curves) on Lie groups. The defined B zier curves and surfaces are always 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.


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Cite this article
[IEEE Style]
J. H. Im and T. E. Kim, "Computer Graphics & Generation Method of Bezier Curves and Surfaces on Lie Groups," KIPS Journal A (2001 ~ 2012) , vol. 9, no. 1, pp. 99-104, 2002. DOI: 10.3745/KIPSTA.2002.9.1.99.

[ACM Style]
Jang Hwan Im and Tae Eun Kim. 2002. Computer Graphics & Generation Method of Bezier Curves and Surfaces on Lie Groups. KIPS Journal A (2001 ~ 2012) , 9, 1, (2002), 99-104. DOI: 10.3745/KIPSTA.2002.9.1.99.