Topological Shape Signature for 3D Object Modelling

M. Aguilera, Y. Zhang, and A.B. Hamza (Canada)


Topological Modelling, Morse theory, distance function.


We present an invariant shape descriptor for topological coding of 3D objects. The proposed approach encodes a 3D object into a topological graph using a normalized dis tance function. Unlike the height function which has been traditionally used to model topology, the proposed distance function-based graph is invariant to rigid motion transfor mations. Simulations results demonstrate the potential of the proposed topological graph which may be used as a shape signature for object matching and reconstruction.

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