Some Smoothness Conditions and Conformality Conditions for Bivariate Quartic and Quintic Splines

Document Type

Article

Publication Date

1-1-1999

Description

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 the bivariate setting, a group of new parameters of bivariate quartic and quintic polynomials over a planar simplex is introduced, new formulations of smoothness conditions of bivariate quartic C1 splines and quintic C2 splines are given, and the conformality conditions of bivariate quartic C1 splines are simplified.

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