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Symmetry‐Aware Mesh Segmentation into Uniform Overlapping Patches
Authors:A Dessein  W A P Smith  R C Wilson  E R Hancock
Affiliation:1. IMB/LaBRI, Université de Bordeaux, Bordeaux, France;2. Department of Computer Science, University of York, York, UK
Abstract:We present intrinsic methods to address the fundamental problem of segmenting a mesh into a specified number of patches with a uniform size and a controllable overlap. Although never addressed in the literature, such a segmentation is useful for a wide range of processing operations where patches represent local regions and overlaps regularize solutions in neighbour patches. Further, we propose a symmetry‐aware distance measure and symmetric modification to furthest‐point sampling, so that our methods can operate on semantically symmetric meshes. We introduce quantitative measures of patch size uniformity and symmetry, and show that our segmentation outperforms state‐of‐the‐art alternatives in experiments on a well‐known dataset. We also use our segmentation in illustrative applications to texture stitching and synthesis where we improve results over state‐of‐the‐art approaches.
Keywords:mesh segmentation  uniform overlapping patches  symmetry-aware processing  furthest-point sampling  texture stitching  texture synthesis  I  3  5 [Computer Graphics]: Computational Geometry and Object Modeling—  Geometric algorithms  languages  and systems
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