Blends of canal surfaces from polyhedral medial transform representations.
We present a new method for constructing [Formula: see text] 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 one- and 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.
University of West Bohemia, Department of Mathematics, Plzeň, Czech Republic.
Bohumír
B
Bastl
Bert
B
Jüttler
Miroslav
M
Lávička
Tino
T
Schulz