Differentiable Voxelization of Surface Representations
Different shape representations facilitate different computations. Surface representations, in particular meshes, are often used for modeling, whereas volume representations are useful for spatial queries such as intersection or containment. Optimizing a surface representation based on a volumetric properties by gradient descent requires the derivatives of the volume relative to its bounding surface. We derive this gradient for winding numbers and show that it can be efficiently computed for volumetric values sampled on a regular grid (voxel representation) and surface parameters based on vertex sets (triangle meshes). This enables an efficient solution for a variety of optimization probl...
| Authors | Tobias Djuren, Ugo Finnendahl, Markus Worchel et al. |
|---|---|
| Primary category | cs.GR |
| Published | 16 August 2026 |
| Last updated at source | 16 August 2026 |
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