Title
Blends of canal surfaces from polyhedral medial transform representations.
Abstract
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.
Year
DOI
Venue
2011
10.1016/j.cad.2011.08.014
Computer-Aided Design
Keywords
Field
DocType
topological relation,arbitrary number,polyhedral medial,resulting blend surface,elegant approach,canal surface,blend surface generation,medial surface,convex polyhedron,design technique,new method,medial axis,bioinformatics,text mining,biomedical research
Medial surface,Medial axis,Convex polytope,SPHERES,Geometry,Mathematics
Journal
Volume
Issue
ISSN
43
11
0010-4485
Citations 
PageRank 
References 
9
0.51
35
Authors
4
Name
Order
Citations
PageRank
Bohumír Bastl113610.49
Bert Jüttler2114896.12
Miroslav LáVičKa315811.36
Tino Schulz4322.96