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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