The Distance for the B Ezier Curves and Degree Reduction Byung-gook Lee and Yunbeom Park

نویسنده

  • YUNBEOM PARK
چکیده

An algorithmic approach to degree reduction of B ezier curves is presented. The algorithm is based on the matrix representations of the degree elevation and degree reduction processes. The control points of the approximation are obtained by the generalized least square method. The computations are carried out by minimizing the L2 and discrete l2 distance between the two curves.

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منابع مشابه

Pii: S0167-8396(02)00164-4

We study the relationship of transformations between Legendre and Bernstein basis. Using the relationship, we present a simple and efficient method for optimal multiple degree reductions of Bézier curves with respect to the L2-norm.  2002 Elsevier Science B.V. All rights reserved.

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تاریخ انتشار 1997