Feature-Preserving Mesh Decimation for Normal Integration

Fuente: arXiv
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Autores principales: Heep, Moritz, Behnke, Sven, Zell, Eduard
Formato: Preprint
Publicado: 2025
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author Heep, Moritz
Behnke, Sven
Zell, Eduard
author_facet Heep, Moritz
Behnke, Sven
Zell, Eduard
contents Normal integration reconstructs 3D surfaces from normal maps obtained e.g. by photometric stereo. These normal maps capture surface details down to the pixel level but require large computational resources for integration at high resolutions. In this work, we replace the dense pixel grid with a sparse anisotropic triangle mesh prior to normal integration. We adapt the triangle mesh to the local geometry in the case of complex surface structures and remove oversampling from flat featureless regions. For high-resolution images, the resulting compression reduces normal integration runtimes from hours to minutes while maintaining high surface accuracy. Our main contribution is the derivation of the well-known quadric error measure from mesh decimation for screen space applications and its combination with optimal Delaunay triangulation.
format Preprint
id arxiv_https___arxiv_org_abs_2504_00867
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Feature-Preserving Mesh Decimation for Normal Integration
Heep, Moritz
Behnke, Sven
Zell, Eduard
Computer Vision and Pattern Recognition
Graphics
Normal integration reconstructs 3D surfaces from normal maps obtained e.g. by photometric stereo. These normal maps capture surface details down to the pixel level but require large computational resources for integration at high resolutions. In this work, we replace the dense pixel grid with a sparse anisotropic triangle mesh prior to normal integration. We adapt the triangle mesh to the local geometry in the case of complex surface structures and remove oversampling from flat featureless regions. For high-resolution images, the resulting compression reduces normal integration runtimes from hours to minutes while maintaining high surface accuracy. Our main contribution is the derivation of the well-known quadric error measure from mesh decimation for screen space applications and its combination with optimal Delaunay triangulation.
title Feature-Preserving Mesh Decimation for Normal Integration
topic Computer Vision and Pattern Recognition
Graphics
url https://arxiv.org/abs/2504.00867