Constructing a quasi-Legendre basis based on the C-Bézier basis

Constructing a quasi-Legendre basis based on the

C-Bézier basis

HUANG Yu ;WANG Guozhao

【期刊名称】《自然科学进展（英文版）》 【年(卷),期】2005(015)006

【摘要】In the spaceГn = span{sint, cost, 1, t, t2, …, tn- 2[, a C-Bezier basis is constructed by an integral approach. However, the C-Bezier basis is not orthogonal. For some applications, we construct an orthogonal basis based on the C-Bezier basis, which has remarkable properties similar to that of the Legendre basis. Then we derive the transformation matrices that convert the C-Bezier basis and the orthogonal basis into each other. As an example of application, we apply this orthogonal basis to the degree reduction approximation of the C-Bezier curves. 【总页数】5页(559-563)

【关键词】C-Bezier basis;orthogonal basis;basis transformations;degree reduction

【作者】HUANG Yu ;WANG Guozhao

【作者单位】Department of Mathematics, Zhejiang University, Hangzhou 310027, China;Department of Mathematics, Zhejiang University, Hangzhou 310027, China 【正文语种】中文