Article :Browse 3076 Download 3823
Received:January 11, 2001 Revised:January 11, 2001
Received:January 11, 2001 Revised:January 11, 2001
Abstract:In curve and surface modeling, Bernstein polynomial compositions are widely used for various geometric operations. So it is important to investigate them both in theory and practice. The problems are investigated by using polynomial interpolation and symbolic computation, and the proposed method is applied for curve and surface cases. Compared with two existing methods, the proposed method has the advantages on computational cost, coding efficiency, storage cost. However its numerical accuracy is lower than the method based on the generalized de Casteljau algorithm.
keywords: Bernstein polynomial functional composition polynomial interpolation symbolic computation numerical accuracy
Foundation items:
Author Name | Affiliation |
FENG Jie-qing | 浙江大学,CAD&CG国家重点实验室,浙江,杭州,310027 |
PENG Qun-sheng | 浙江大学,CAD&CG国家重点实验室,浙江,杭州,310027 |
Reference text:
FENG Jie-qing,PENG Qun-sheng.Bernstein Polynomial Composition Through Interpolation and Its Applications in Curves and Surfaces.Journal of Software,2002,13(10):2014-2020
FENG Jie-qing,PENG Qun-sheng.Bernstein Polynomial Composition Through Interpolation and Its Applications in Curves and Surfaces.Journal of Software,2002,13(10):2014-2020