Degree reduction of Bezier curves by L(1)-approximation with endpoint interpolation

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We consider the one-degree reduction problem with endpoint interpolation in the L(1)-norm. We obtain the best one-degree reduction of Bezier curve of the degree n less than or equal to 5 with endpoint interpolation by using perfect splines. For the general degree n, we propose a 'good' one-degree reduction by use of an appropriate transform of the Tchebycheff polynomials U-n(x) of the second kind of degree n. By use of the good one-degree reduction, subdivision algorithm is given to get one-degree reduced Bezier curve within a given tolerance E. Some numerical experiments are also given.
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Issue Date
1997
Language
English
Article Type
Article
Keywords

L1-APPROXIMATION; APPROXIMATION; POLYNOMIALS

Citation

COMPUTERS & MATHEMATICS WITH APPLICATIONS, v.33, no.5, pp.67 - 77

ISSN
0898-1221
DOI
10.1016/S0898-1221(97)00020-5
URI
http://hdl.handle.net/10203/73614
Appears in Collection
MA-Journal Papers(저널논문)
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