Abstract
An algorithm for generating an ( n − 1)st degree approximation to an nth degree Bézier curve is presented. The method is based on minimax approximation techniques which allow the development of a detailed error analysis. By combining subdivision with the degree reduction algorithm, a piecewise defined 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 by iterating the scheme, a piecewise degree d approximation can be generated.
Published Version
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