Some smoothness conditions and conformality conditions for bivariate quartic and quintic splines

被引：0
|
作者：
H.-W. Liu
Don Hong
机构：
[1] School of Mathematics and Applied Statistics,
[2] The University of Wollongong,undefined
[3] ¶Wollongong,undefined
[4] NSW 2522,undefined
[5] Australia¶E-mail: hl22@uow.edu.au,undefined
[6] Department of Mathematics,undefined
[7] East Tennessee State University,undefined
[8] Johnson City,undefined
[9] ¶TN 37614-0663,undefined
[10] USA¶E-mail: hong@etsu.edu,undefined
来源：
CALCOLO | 1999年 / 36卷
关键词：
Conformality Condition; Smoothness Condition; Quintic Spline; Multivariate Spline; Quintic Polynomial;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：43 / 61
页数：18
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