May 2001
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There are many approaches "out there"
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Boundary versus Region
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Models versus Direct measures
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Features versus Invariants
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Object versus Space
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Real versus Perceived
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...
"My" favorite approach
The Medial Axis
or Skeleton
or Symmetry Transform
or Shock Graph
or Voronoi Diagram
...
Question :
How to relate locality to global or "significant"
geometry ?
Possible answer :
Marry the two concepts
But, How ?
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Contact of spheres - gauge figures
: tangency, curvature, etc. .... Locality
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Simultaneous contacts: bi-tangency,
tri-tangency, etc. ... Globality
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| non-maximal gauges |
maximal gauges |