The Degree Reduction of Tensor Product Rational Bézier surfaces
The objective of this paper is to present methods to solve the problem of the degree reduction of rational Bézier surfaces with endpoints continuity. Firstly, under homogenous spaces, we apply degree reduction of the polynomials Bézier surfaces in L2 and L∞ norm to the rational Bézier surfaces respectively. In addition, we derive conditions for the reduced-degree weights -ωi>0, and point out that the degree reduction methods under the homogenous coordinates is only sufficient condition; secondly, under the affine space, necessary and sufficient condition for the ca -continuity at the endpoints is given. Based on the multi-objective optimization, we utilize Genetic Algorithm achieve the reduction of rational surfaces. Finally several numerical examples are presented to illustrate the effects of methods.
Degree reduction Rational Bézier surfaces Genetic Algorithm Endpoint continuity.
Mao Shi Zhenglin Ye Baosheng Kang
Department of Applied Mathematics,Northwestern Polytechnical University,Xian 710072, P.R China DepartMent of computer, Northwest university ,Xian 710069, P. R. China
国际会议
昆明
英文
674-679
2008-11-22（万方平台首次上网日期，不代表论文的发表时间）