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Conference Papers Year : 2023

Variational Shape Reconstruction via Quadric Error Metrics

Abstract

Inspired by the strengths of quadric error metrics initially designed for mesh decimation, we propose a concise mesh reconstruction approach for 3D point clouds. Our approach proceeds by clustering the input points enriched with quadric error metrics, where the generator of each cluster is the optimal 3D point for the sum of its quadric error metrics. This approach favors the placement of generators on sharp features, and tends to equidistribute the error among clusters. We reconstruct the output surface mesh from the adjacency between clusters and a constrained binary solver. We combine our clustering process with an adaptive refinement driven by the error. Compared to prior art, our method avoids dense reconstruction prior to simplification and produces immediately an optimized mesh.
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hal-04131765 , version 1 (16-06-2023)

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Tong Zhao, Laurent Busé, David Cohen-Steiner, Tamy Boubekeur, Jean-Marc Thiery, et al.. Variational Shape Reconstruction via Quadric Error Metrics. SIGGRAPH 2023 - The 50th International Conference & Exhibition On Computer Graphics & Interactive Techniques, Aug 2023, Los Angeles, United States. ⟨10.1145/3588432.3591529⟩. ⟨hal-04131765⟩
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