期刊文献+

Wang-Ball基函数的对偶基及其应用 被引量:8

Dual Basis Functions for Wang-Ball Basis and Its Application
下载PDF
导出
摘要 对于n次Wang Ball曲线给出其对偶基 ,进而得到从Bernstein基到Wang The dual basis for Wang-Ball basis function is presented. As its application, an explicit conversion formula from Bernstein-Bézier basis to Wang-Ball basis is given.
作者 江平 邬弘毅
出处 《计算机辅助设计与图形学学报》 EI CSCD 北大核心 2004年第4期454-458,共5页 Journal of Computer-Aided Design & Computer Graphics
基金 合肥工业大学校基金资助
关键词 对偶基 Wang-Ball基 Bernstein-Bezier基 基转换公式 WANG-BALL曲线 dual basis Wang-Ball basis Bernstein-Bézier basis basis conversion formula
  • 相关文献

参考文献10

  • 1Ball A A. CONSURF, Part 1: Introduction of the conic lofting tile[J]. Computer-Aided Design, 1974, 6(4): 243~246
  • 2Ball A A. CONSURF, Part 2: Description of the algorithms[J]. Computer-Aided Design, 1975, 7(4): 237~242
  • 3王国瑾.高次Ball曲线及其应用[J].高校应用数学学报:A辑,1987,2(1):126-140.
  • 4Said H B. Generalized Ball curve and its recursive algorithm[J]. ACM Transactions on Graphics, 1989, 8(4): 360~371
  • 5Hu S M, Wang G J, Jin T G. Properties of two types of generalized Ball curves[J]. Computer-Aided Design, 1996, 28(2): 125~133
  • 6Wu HongyiDept. ofMath. and Mech., HefeiUniv. of Technology,Hefei230009..UNIFYING REPRESENTATION OF BZIER CURVE AND GENERALIZED BALL CURVES[J].Applied Mathematics(A Journal of Chinese Universities),2000,15(1):109-121. 被引量:15
  • 7陈凌钧,骆岩林,童若锋,汪国昭.Bézier曲线与Said-Ball曲线的递归转换算法[J].计算机辅助设计与图形学学报,2001,13(3):264-266. 被引量:3
  • 8Phien H N, Dejdumrong N. Efficient algorithms for Bézier curves[J]. Computer Aided Geometric Design, 2000, 17(3): 247~250
  • 9奚梅成.Ball基函数的对偶基及其应用[J].计算数学,1997,19(2):147-153. 被引量:18
  • 10Othman W A M, Goldman R N. The dual basis functions for the generalized Ball basis of odd degree[J]. Computer Aided Geometric Design,1997, 14(5): 571~582

二级参考文献11

  • 1王国瑾.高次Ball曲线及其几何性质[J].高校应用数学学报,1987,2(1):126-140.
  • 2Hu S M,Computer Aided Design,1996年,28卷,2期,125页
  • 3王国瑾,高校应用数学学报,1987年,2卷,1期,126页
  • 4Ball,A.A., Consurf Part1:Introduction of conic lofting title, Computer Aided Design,1974,6:243~249.
  • 5Ball,A.A., Consurf Part 2:Description of the algorithms, Computer Aided Design,1975,7:237~242.
  • 6Wang,G.J.,Ball curve of high degree and its geometric properties,Appl.Math.J.Chinese Univ.1987,2:126~140(in Chinese).
  • 7Said,H.B.,Generalized Ball curve and its recursive algorithm, ACMTrans.Graph,1989,8:360~371.
  • 8Goodman,T.N.T.and Said,H.B.,Shape-preserving properties of the generalized Ballbasis, Computer Aided Geometric Design,1991,8:115~121.
  • 9Goodman,T.N.T.and Said,H.B.,Properties of the generalized Ball curves and surfaces,Computer Aided Design, 1991,23:554~560.
  • 10Hu,S.M.,Wang,G.Z.and Jin,T.G.,Properties of two types of generalized Ball curves,Computer Aided Design,1996,28:125~133.

共引文献30

同被引文献49

引证文献8

二级引证文献15

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部