Constrained multi-degree reduction of triangular Bézier surfaces using dual Bernstein polynomials
نویسندگان
چکیده
منابع مشابه
Constrained multi-degree reduction of triangular Bézier surfaces using dual Bernstein polynomials
Abstract. This paper proposes and applies a method to sort two-dimensional control points of triangular Bézier surfaces in a row vector. Using the property of bivariate Jacobi basis functions, it further presents two algorithms for multi-degree reduction of triangular Bézier surfaces with constraints, providing explicit degree-reduced surfaces. The first algorithm can obtain the explicit repres...
متن کاملConstrained multi-degree reduction of Bézier surfaces using Jacobi polynomials
Article history: Received 9 March 2007 Received in revised form 16 June 2008 Accepted 20 October 2008 Available online 1 November 2008
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2010
ISSN: 0377-0427
DOI: 10.1016/j.cam.2010.07.005