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arXiv · 2602.02907

VoroUDF: Meshing Unsigned Distance Fields with Voronoi Optimization

Ningna Wang·Zilong Wang·Xiana Carrera·Xiaohu Guo·Silvia Sellán
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Abstract

We present VoroUDF, an algorithm for reconstructing high-quality triangle meshes from Unsigned Distance Fields (UDFs). Our algorithm supports non-manifold geometry, sharp features, and open boundaries, without relying on error-prone inside/outside estimation, restrictive look-up tables nor topologically noisy optimization. Unlike fixed-grid approaches, our Voronoi-based formulation optimizes a set of movable seeds that travel freely along the iso-surface, jointly minimizing a tangent-plane fitting energy, driven by a fixed set of surface samples queried once from the UDF and its gradient, and a repulsion energy that keeps the seeds evenly distributed. It achieves significantly improved topological consistency and geometric fidelity compared to existing methods, while producing lightweight meshes suitable for downstream real-time and interactive applications.

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Ningna Wang, Zilong Wang, Xiana Carrera, Xiaohu Guo, Silvia Sellán. 2026-09-20. VoroUDF: Meshing Unsigned Distance Fields with Voronoi Optimization. https://arxiv.org/abs/2602.02907

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