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Topological Repair on Voxel-Based Quadrangular Meshes

Abstract : In some neuroscience applications it is critical that the representation of anatomical structures is topologically faithful. This is especially important when the topology is known to be equivalent to a sphere. We propose a new approach to repair a voxel-based quadrangular mesh so that it becomes topologically equivalent to a sphere. The approach is graph-based and results in practice in an amount of change that is generally minimal. The algorithm was successfully applied to a database of 977 hand-segmented hippocampi from a study of ageing; spherical topology was achieved for all data sets.
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https://hal.inria.fr/inria-00636101
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Paulette Lieby, Nick Barnes, Brendan Mckay. Topological Repair on Voxel-Based Quadrangular Meshes. 1st MICCAI Workshop on Mathematical Foundations of Computational Anatomy: Geometrical, Statistical and Registration Methods for Modeling Biological Shape Variability, Oct 2006, Copenhagen, Denmark. pp.146-155. ⟨inria-00636101⟩

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