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Shape Matching via Quotient Spaces
carterturner Offline

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Shape Matching via Quotient Spaces 04-09-2017 11:48
Hello guys,

We introduce a novel method for non-rigid shape matching, designed to address the symmetric ambiguity problem when matching shapes with intrinsic symmetries. Unlike the majority of existing methods which try to overcome this ambiguity by sampling a set of landmark correspondences, addressing this problem directly by performing matching shapes in an appropriate quotient space, where the symmetry has been identified and factored out. This allows us to both simplify the matching problem by matching between subspaces, and to return multiple solutions with equally good dense correspondences. Remarkably, both symmetry detection and shape matching are done without setting any correspondence between the points or parts of the shapes. This allows us to avoid an expensive combinatorial search in most intrinsic symmetry detection and shape matching methods. We compare our technique with state-of-the-art methods and show that superior performance can be achieved both when the symmetry on each shape is known and when it needs to be estimated.


I did not find the right solution from the internet.

- http://onlinelibrary.wiley.com/doi/10.11...12167/full
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