Blends of canal surfaces from polyhedral medial transform representations

Abstract

We present a new method for constructing G blending surfaces between an arbitrary number of canal surfaces. The topological relation of the canal surfaces is specified via a convex polyhedron and the design technique is based on a generalization of the medial surface transform. The resulting blend surface consists of trimmed envelopes of oneand two-parameter families of spheres. Blending the medial surface transform instead of the surface itself is shown to be a powerful and elegant approach for blend surface generation. The performance of our approach is demonstrated by several examples.

DOI: 10.1016/j.cad.2011.08.014

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Cite this paper

@inproceedings{Bastl2011BlendsOC, title={Blends of canal surfaces from polyhedral medial transform representations}, author={Bohum{\'i}r Bastl and Bert J{\"{u}ttler and Miroslav L{\'a}vicka and Tino Schulz}, booktitle={Computer-Aided Design}, year={2011} }