TetWeave: Isosurface Extraction using On-The-Fly Delaunay Tetrahedral Grids for Gradient-Based Mesh Optimization

Article
A. Binninger, R. Wiersma, Philipp Herholz, Olga Sorkine-Hornung

Venue

SIGGRAPH 2025 (ToG)

Abstract

We introduce TetWeave, a novel isosurface representation for gradient-based mesh optimization that jointly optimizes the placement of a tetrahedral grid used for Marching Tetrahedra and a novel directional signed distance at each point. TetWeave constructs tetrahedral grids on-the-fly via Delaunay triangulation, enabling increased flexibility compared to predefined grids. The extracted meshes are guaranteed to be watertight, two-manifold and intersection-free. The flexibility of TetWeave enables a resampling strategy that places new points where reconstruction error is high and allows to encourage mesh fairness without compromising on reconstruction error. This leads to high-quality, adaptive meshes that require minimal memory usage and few parameters to optimize. Consequently, TetWeave exhibits near-linear memory scaling relative to the vertex count of the output mesh — a substantial improvement over predefined grids. We demonstrate the applicability of TetWeave to a broad range of challenging tasks in computer graphics and vision, such as multi-view 3D reconstruction, mesh compression and geometric texture generation.

Links

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Tags

 Object reconstruction  Meshing  Geometry  Optimization  Machine Learning

Cite

@article{Binninger:TetWeave:2025,
 title={TetWeave: Isosurface Extraction using On-The-Fly Delaunay Tetrahedral Grids for Gradient-Based Mesh Optimization},
 author={Binninger, Alexandre and Wiersma, Ruben and Herholz, Philipp and Sorkine-Hornung, Olga},
 note={SIGGRAPH 2025 issue},
 year={2025},
 issue_date = {July 2025},
 publisher = {Association for Computing Machinery},
 address = {New York, NY, USA},
 doi={10.1145/3730851},
 journal = {ACM Trans. Graph.},
 month = {7}
 }