ALGORITHMS AND IDENTITIES FOR BIVARIATE
(h1, h2)-BLOSSOMING
Ilija Jegdić
Department of Mathematics
Texas Southern University
Houston, Texas 77004, USA

Abstract

We extend the definition of $h$-blossoming for polynomials in one variable to the polynomials in two variables, and we use this bivariate $(h_1, h_2)$-blossoming to study various properties, identities, and algorithms associated with $(h_1, h_2)$-Bézier surfaces. We construct a recursive $(h_1, h_2)$-midpoint subdivision algorithm for the $(h_1, h_2)$-Bézier surfaces and we prove its geometric rate of convergence.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 30
Issue: 4
Year: 2017

DOI: 10.12732/ijam.v30i4.5

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