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Proceedings Paper

Degree reduction of Bezier simplexes
Author(s): Suresh Kumar Lodha; Joe D. Warren
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Paper Abstract

This work describes a degree reduction method for Bezier simplexes with the following properties: (1) Symmetry: The degree reduction method is symmetric with respect to the corner points of the Bezier simplex. (2) Restriction: The degree reduction method restricted to the boundary of a Bezier simplex yields the same result as the boundary of the degree-reduced Bezier simplex. (3) Interpolation: The degree-reduced simplex of degree e interpolates the value and the first [e-1/2] derivatives at the corner points of the original Bezier simplex. (4) Optimal order of approximation: The order of approximation of the given simplex by the degree-reduced simplex is O(he+1), (where h is the diameter of the domain simplex), which is optimal for functional approximation. The method, restricted to Bezier surface, yields a new technique for degree reduction, which is easy to implement.

Paper Details

Date Published: 1 November 1992
PDF: 12 pages
Proc. SPIE 1830, Curves and Surfaces in Computer Vision and Graphics III, (1 November 1992); doi: 10.1117/12.131731
Show Author Affiliations
Suresh Kumar Lodha, Rice Univ. (United States)
Joe D. Warren, Rice Univ. (United States)

Published in SPIE Proceedings Vol. 1830:
Curves and Surfaces in Computer Vision and Graphics III
Joe D. Warren, Editor(s)

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