Bivariate Spline Functions by Using Barycentric Coordinates over Irregular Triangulation

Graduation Year

2017

Publication Date

2017

Comments

At the request of the author, this essay is not available for download. Bona fide researchers may consult it by visiting the University Archives in Tate Archives & Special Collections; contact archives@iwu.edu for details.n

Abstract

B spline is a useful mathematical tool in numerical approximation, data fitting and filtering. Since current research on the bivariate splines concentrates on regular triangulartions, we study bivariate splines over irregular triangulations in barycentric coordinates. In this paper, we introduce the relationship between the barycentric coordinates of a triangle and its sub-triangle. Mixed Powell-Sabin sub-triangulation of C^1 quadratic spline yielded two types of irregulation, which are also studied in this paper.

Disciplines

Mathematics

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