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.