Some new formulations of smoothness conditions and conformality conditions for bivariate splines

✍ Scribed by Don Hong; Huan-Wen Liu

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 455 KB
• Volume: 40
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(00)00145-0

✦ Synopsis

This paper is concerned with a study of some new formulations of smoothness conditions and conformality conditions for multivariate splines in terms of B-net representation. In bivariate setting, a group of new parameters of bivariate cubic polynomials over a planar simplex is introduced, and smoothness conditions and conformality conditions of bivariate cubic C 1 splines are simplified. (~) 2000 Elsevier Science Ltd. All rights reserved.