The reconstruction of a watertight surface mesh from point clouds is a difficult problem. Constructing a watertight model from a polygonal mesh is just as difficult since there can be many issues in these models, such as intersecting surfaces and non-manifold geometry. We first describe a complete repair process for a single CAD object, resulting in a repaired static model. Next, we implement a novel workflow that can be used to repair local issues on almost every model, allowing one to use global repair methods on local areas of the model. This workflow can be applied to an assembly of CAD objects to retain articulations in the final repaired dynamic model. We introduce methods from Topological Data Analysis (TDA) to show that topological features can be used in the definition of robust mesh metrics, to characterize and determine quality of meshes, and to implement fully-automated watertight & repair of CAD meshes.
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Kinard et al. (2024) studied this question.
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