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