Adaptive Curvature-Sensitive Meshing of the Medial Axis
Ang, Pin Yang and Cecil G. Armstrong
Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.155-165, October 7-10 2001
10th International Meshing Roundtable
Newport Beach, California, U.S.A.
October 7-10, 2001
School of Mechanical and Manufacturing Engineering,
The Queen's University of Belfast,
Ashby Building, Stranmillis Road,
Belfast, BT9 5AH, Northern Ireland.
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The medial axis transform provides an alternative representation of geometric models
that has many useful properties for analysis modelling. Applications include
decomposition of general solids into sub regions for mapped meshing, identification
of slender regions for dimensional reduction and recognition of small features for
suppression. In order to serve these purposes effectively, it is important to approximate
the medial axis so that the curvature has been respected. This paper describes a
general idea, which is based on equal distance criteria, for adaptive, curvature-sensitive
mesh refinement on the medial axis, after its topology has been defined. The completed
set of theories and examples for 2-D planar objects and 3-D solid objects are presented.
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