On rational Minkowski Pythagorean hodograph curves

Computer Aided Geometric Design, pp. 514-524, 2010.

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Keywords:
medial axis transformminkowski normassociated curves in euclidean plane and minkowski space. keywords: pythagorean hodograph curveadditional rational functioncurvatureMore(11+)

Abstract:

Minkowski Pythagorean hodograph curves are polynomial curves with polynomial speed, measured with respect to Minkowski norm. Curves of this special class are particularly well suited for representing medial axis transforms of planar domains. In the present paper we generalize this polynomial class to a rational class of curves in Minkowsk...More

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