Level set diagrams of polyhedral objects
Proceedings of the fifth ACM symposium on Solid modeling and applications
Topology matching for fully automatic similarity estimation of 3D shapes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Surface Coding Based on Morse Theory
IEEE Computer Graphics and Applications
Constructing a Reeb graph automatically from cross sections
IEEE Computer Graphics and Applications
Computational Topology for Shape Modeling
SMI '99 Proceedings of the International Conference on Shape Modeling and Applications
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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 distance function. Unlike the height function which has been traditionally used to model topology, the proposed distance function-based graph is invariant to rigid motion transformations. Simulations results demonstrate the potential of the proposed topological graph which may be used as a shape signature for object matching and reconstruction.