DEGREE REDUCTION OF BEZIER CURVES AND ITS ERROR ANALYSIS

The error analysis of an algorithm for generating an approximation of degree n - 1 to an nth degree Bezier curve is presented. The algorithm is based on observations of the geometric properties of Bezier curves which allow the development of derailed error analysis. By combining subdivision with a degree reduction algorithm, a piecewise approximation can be generated, which is within some preset error tolerance of the original curve. The number of subdivisions required can be determined a priori and a piecewise approximation of degree m can be generated by iterating the scheme.
Publisher
AUSTRALIAN MATHEMATICS PUBL ASSOC INC
Issue Date
1995-04
Language
ENG
Citation

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, v.36, pp.413 - 4

ISSN
0334-2700
URI
http://hdl.handle.net/10203/71229
Appears in Collection
MA-Journal Papers(저널논문)
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