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Cardinal interpolation: A bivariate polynomial example
Authors:K L Rescorla
Affiliation:

Department of Mathematics, Eastern Michigan University, Ypsilanti, MI 48197, U.S.A.

Abstract:The general interpolation problem over a linear space is solved by providing explicit formulas for the cardinal basis of the space. As an example of this technique, the cardinal form of a bivariate degree-nine polynomial interpolating to function and derivative values through order four at various points on a triangle is derived. The piecewise polynomial interpolant over an arbitrary triangulated domain in Image has C2 continuity.
Keywords:Polynomial  interpolation  bivariate  triangle  cardinal basis  twice continuously differentiable
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