论文信息 - Sequence Decomposition Method for Computing a Gröbner Basis and Its Application to Bivariate Spline

Sequence Decomposition Method for Computing a Gröbner Basis and Its Application to Bivariate Spline

The purpose of this paper is to discuss basis function of bivariate spline that will be used to express facial surface in facial synthesis. First we present an approach for computing a Grobner basis of bivariate homogenous polynomials and then applied it to construct a basis for bivariate spline space.

Wen Gao | Baocai Yin | Baocai Yin | Wen Gao

[1] Lauren L. Rose,et al. A dimension series for multivariate splines , 1991, Discret. Comput. Geom..

[2] B. Buchberger,et al. Grobner Bases : An Algorithmic Method in Polynomial Ideal Theory , 1985 .

[3] L. Schumaker. On the Dimension of Spaces Of Piecewise Polynomials in Two Variables , 1979 .

[4] Larry L. Schumaker,et al. Bounds on the dimension of spaces of multivariate piecewise polynomials , 1984 .

[5] Ren-Hong Wang,et al. Multivariate spline spaces , 1983 .

[6] W. Schempp,et al. Multivariate Approximation Theory IV , 1989 .