A BIVARIATE C-3 INTERPOLATION SCHEME

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:61

Article

ZHAN, YW

关键词: BERNSTEIN-BEZIER FORM;    TWICE CLOUGH-TOCHER SPLIT;    SERENDIPITY;    SPLINE INTERPOLATION;    SMOOTHING COFACTORS;   

DOI  :  10.1016/0377-0427(94)00066-A

来源: Elsevier

【 摘 要 】

On the twice CT type split of a triangle, we prove that there exists a C-3 piecewise polynomial of degree 7 interpolating arbitrarily given values and derivatives of orders up to 3 at the vertices and on the edges of the triangle. The method available is a mixture of B-forms of polynomials and the serendipity of bivariate splines.

【 授权许可】

Free