Main shape spaces properties are contractibility under normal flow; non-linearity and that they locally "look" like linear spaces. Shape representations could be boundary curve representations (topic of this talk) and feature vectors structural descriptions and grammers. BC representations can be built in various ways-via horizon functions, curvelets (wavelets generalizations that localize in scale, location and orientation), medial axis or diffeomorphisms of the plane.

Keywords:

Image Analysis; Shape spaces and metrics; boundary curve representations.

Lecture #10772

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Shape Representations, Metrics and Matching

Summary: