Length-Constrained Bézier Curve Smoothing
نویسندگان
چکیده
We study the curve smoothing problem in the context of Bézier curves of constant length. Specifically, we present a degree-independent simulated annealing based technique to smooth a lengthconstrained Bézier curve with arbitrary, user-specified geometric constraints. Smoothing is accomplished in two stages. First, a generalized degree-independent technique is used to generate several Bézier curve configurations that are of the same length but varying in smoothness. The smoothest of these configurations is then found using a simulated annealing algorithm. Details of an implementation of the algorithm and results of its execution on several examples are discussed. The novelty of our solution lies in constraining the length of the Bézier curve, after which smoothing follows in straightforward way.
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