Title :
Conversion from an arbitrary curve into a Bézier curve with the least degree using constrained economization of Chebyshev polynomials
Author :
Jaroensawad, Rattikarn ; Dejdumrong, Natasha
Author_Institution :
Dept. of Comput. & Inf. Sci., King Mongkut´s Univ. of Technol. North Bangkok, Bangkok, Thailand
Abstract :
In this paper, we present a new method used for the transformation of a set of discrete points into an analogous Bézier curve. Two algorithms for degree reduction of Bézier curves are then introduced using constrained economization of Chebyshev polynomials with an acceptable error value.
Keywords :
curve fitting; interpolation; polynomial approximation; Bézier curve approximation; Chebyshev polynomials; analogous Bézier curve; arbitrary curve; constrained economization technique; curve fitting; curve interpolation; discrete data points; error value; least degree reduction; Algorithm design and analysis; Chebyshev approximation; Computers; Interpolation; Polynomials; Bézier Curves; Basis Transformation; Chebyshev Polynomials; Degree Reduction; Economization;
Conference_Titel :
Computer Science and Software Engineering (JCSSE), 2013 10th International Joint Conference on
Conference_Location :
Maha Sarakham
Print_ISBN :
978-1-4799-0805-9
DOI :
10.1109/JCSSE.2013.6567350
