Abstract
In this paper, weighted G0-and G1-multi-degree reduction of Bézier curves are considered. The degree reduction of a given Bézier curve of degree n is used to write it as a Bézier curve of degree m, m < n. Exact degree reduction is not possible, and, therefore approximation methods are used. The weight function w[t] = 2t(1 − t), t ∈ [0, 1] is used with the L2 -norm in multi degree reduction with G0- and G1- continuity at the end points of the curve. Numerical results and comparisons show that the new methods suggests smaller approximation errors in the interior of the domain and proves to be competative in applications.
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