TriFlow: Generating Artist-Like 3D Mesh Topology via Nearest-Vertex Vector Fields

2026-06-18

AI Summary

This work proposes a novel method for directly generating compact 3D meshes with artist-friendly triangle topology from geometric conditions such as signed distance fields. The key innovation lies in the introduction of a Nearest Vertex Field (NVF)—an implicit representation of surface mesh topology—combined with a latent flow matching model to generate this field. Structured, high-fidelity meshes are then produced end-to-end through NVF-driven region clustering followed by a topology-aware constrained Quadric Error Metric (QEM) simplification algorithm. Compared to existing learning-based approaches, the proposed method achieves substantially improved topological quality and generalization, reducing Chamfer Distance by 90% and accelerating inference by 8×.

Abstract

We present TriFlow, a new generative approach for producing compact 3D meshes with artist-like triangle topology directly from input geometry conditions such as signed distance fields. Our key insight is to represent mesh topology as a nearest-vertex vector field (NVF) defined over the surface, where each point encodes its association to the nearest triangle vertex in the local barycentric frame. We train a latent flow-matching model to synthesize this field, enabling topology generation conditioned on the input geometry. To extract a coherent mesh, we cluster surface regions using the generated NVF and guide a constrained quadric error metric (QEM) mesh simplification with topology-aware optimization. This yields output meshes that closely match the input geometry while exhibiting structured, artist-like connectivity. Experiments demonstrate that TriFlow achieves stronger generalization and significantly improved topology quality compared to state-of-the-art learning-based approaches, alongside 90% lower Chamfer Distance and an 8x speedup.

Problem

• 3D mesh generation
• artist-like topology
• triangle connectivity
• geometry conditioning
• mesh topology

Innovation

• Nearest-Vertex Vector Field
• Latent Flow-Matching
• Artist-Like Topology
• Topology-Aware Mesh Simplification
• 3D Mesh Generation