3D-model analysis plays an important role in numerous applications. In this paper, we present an approach for
Reeb graph extraction using a novel mapping function. Our mapping function computes a real value for each
vertex which provides interesting insights to describe topology structure of the 3D-model. We perform discrete
contour for each vertex according to our mapping function. Topology changes can be detected by discrete
contours analysis to construct the Reeb graph.
Our mapping function has some important properties. It is invariant to rigid and non rigid transformations,
it is insensitive to noise, it is robust to small topology changes, and it does not depend on parameters. From the
extracted graph, these properties show the significant parts of a 3D-model. We retain the evaluation criteria to
the properties of the mapping function, and compared them to those used in the state of the art. In the end, we
present extracted Reeb graph on various models with different positions.
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