# Piecewise Rational Parametrizations of Canal Surfaces

@inproceedings{Dahl2012PiecewiseRP, title={Piecewise Rational Parametrizations of Canal Surfaces}, author={Heidi E. I. Dahl}, booktitle={MMCS}, year={2012} }

Canal surfaces, as envelopes of one-parameter families of spheres, correspond to curves in Minkowski space. We show that the continuity properties of a canal surface are inherited from the continuity properties of the associated curve, i.e., two curves joined with G 1 or G 2 continuity in Minkowski space correspond to two canal surfaces joined with the same level of continuity.We also describe an algorithm for minimal bi-degree rational parametrizations of patches on canal surfaces, and show…

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