2002•Unpublished venueRequires access

A new class of rational Bezier curves based on rational Bernstein function class

Qian Zhao

Abstract

In this paper, based on Bernstein polynomials and rational parameter transformation, a new class of rational composite functions ---- rational Bernstein function class is obtained and its analytical properties are discussed. Then, the method of a new class of rational Bezier curves design is introduced and the corresponding geometric properties of the curves are studied. At last, several applicable rational Bezier curves are studied and a numerical example is given.

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Available abstract

Key concepts: Rational function, Bézier curve, Class (philosophy), Bernstein polynomial, Mathematics, Transformation (genetics), Elliptic rational functions, Function (biology)