Lagrange interpolation by bivariate splines on cross-cut partitions

[摘要] The piecewise algebraic curve is a generalization of the classical algebraic curve. In this paper, we give the Nother-type theorem of piecewise algebraic curves on cross-cut partitions. By using interpolation along a piecewise algebraic curve, we also present a method to construct Lagrange interpolation sets for bivariate spline spaces on cross-cut partitions. (c) 2005 Elsevier B.V. All rights reserved.

[发布日期] 2006-10-15

[效力级别]  Proceedings Paper

[关键词] bivariate splines;piecewise algebraic curves;Lagrange interpolation;Nother-type theorem;cross-cut partition