🤖 AI Summary
Existing 3D surface reconstruction methods suffer from inherent limitations between volumetric and purely surface-based representations: the former often introduces redundancy and accumulative errors, while the latter, constrained by a single-layer receptive field, struggles to recover complex geometry. This work proposes a differentiable mesh softening strategy that explicitly extends surfaces into a multi-layer translucent volumetric representation with a controllable 3D receptive field. By integrating splatting-based volume rendering with topological optimization, our approach enhances representational capacity and numerical stability while preserving the advantages of surface parameterization. The method enables end-to-end high-quality reconstruction, significantly improving geometric accuracy and mesh quality in approximately 20 minutes, and effectively recovers intricate surface details.
📝 Abstract
Surfaces are typically represented as meshes, which can be extracted from volumetric fields via meshing or optimized directly as surface parameterizations. Volumetric representations occupy 3D space and have a large effective receptive field along rays, enabling stable and efficient optimization via volumetric rendering; however, subsequent meshing often produces overly dense meshes and introduces accumulated errors. In contrast, pure surface methods avoid meshing but capture only boundary geometry with a single-layer receptive field, making it difficult to learn intricate geometric details and increasing reliance on priors (e.g., shading or normals). We bridge this gap by differentiably turning a surface representation into a volumetric one, enabling end-to-end surface reconstruction via volumetric rendering to model complex geometries. Specifically, we soften a mesh into multiple semi-transparent layers that remain differentiable with respect to the base mesh, endowing it with a controllable 3D receptive field. Combined with a splatting-based renderer and a topology-control strategy, our method can be optimized in about 20 minutes to achieve accurate surface reconstruction while substantially improving mesh quality.