An expansion of bivariate spline functions

Spaces of Bivariate Spline

We consider the spaces of bivariate C-splines of degree k deened over arbitrary triangulations of a polygonal domain. We get an explicit formula for the dimension of such spaces when k 3 + 2 and construct a local supported basis for them. The dimension formula is valid for any polygonal domain even it is complex connected , and the formula is sharp since it arrives at the lower-bound which is g...

Bivariate Rational Spline Surface

This paper is concerned with the nonnegativity preserving interpolation of data on rectangular grids. The function is a kind of bivariate rational interpolation spline with parameters, which is C1 in the whole interpolation region. Sufficient conditions are derived on coefficients in the rational spline to ensure that the surfaces are always nonnegative if the original data are nonnegative. The...

Bivariate Spline Method for

APPROXIMATION OF 3D-PARAMETRIC FUNCTIONS BY BICUBIC B-SPLINE FUNCTIONS

In this paper we propose a method to approximate a parametric 3 D-function by bicubic B-spline functions

Bivariate Spline Spaces on FVS-triangulations

Ming-Jun Lai Abstract. FVS-triangulation is a special but very exible triangulation. We survey the results on bivariate spline spaces over such triangulations. x