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A.W.: Anisotropic Laplace-Beltrami eigenmaps: Bridging Reeb graphs and skeletons (2008)
| Content Provider | CiteSeerX |
|---|---|
| Author | Shi, Yonggang Lai, Rongjie Krishna, Sheila Sicotte, Nancy Dinov, Ivo Toga, Arthur W. |
| Description | In this paper we propose a novel approach of computing skeletons of robust topology for simply connected surfaces with boundary by constructing Reeb graphs from the eigenfunctions of an anisotropic Laplace-Beltrami operator. Our work brings together the idea of Reeb graphs and skeletons by incorporating a flux-based weight function into the Laplace-Beltrami operator. Based on the intrinsic geometry of the surface, the resulting Reeb graph is pose independent and captures the global profile of surface geometry. Our algorithm is very efficient and it only takes several seconds to compute on neuroanatomical structures such as the cingulate gyrus and corpus callosum. In our experiments, we show that the Reeb graphs serve well as an approximate skeleton with consistent topology while following the main body of conventional skeletons quite accurately. 1. |
| File Format | |
| Language | English |
| Publisher Date | 2008-01-01 |
| Publisher Institution | In: Proceedings of Mathematical Methods in Biomedical Image Analysis (MMBIA |
| Access Restriction | Open |
| Subject Keyword | Laplace-beltrami Operator Anisotropic Laplace-beltrami Operator Corpus Callosum Main Body Novel Approach Reeb Graph Bridging Reeb Graph Several Second Flux-based Weight Function Anisotropic Laplace-beltrami Eigenmaps Consistent Topology Cingulate Gyrus Neuroanatomical Structure Global Profile Surface Geometry Intrinsic Geometry Approximate Skeleton Conventional Skeleton Connected Surface Robust Topology |
| Content Type | Text |
| Resource Type | Article |
