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Preprint Sep 2026

Projective Normal Fields: A Convex Optimization Method for Constructing Smooth UDFs

Constructing a smooth approximation of an unsigned distance field (UDF) from a raw point cloud is challenging because the input provides neither surface connectivity nor consistently oriented normals. Methods that directly learn a scalar UDF must also handle its non-differentiability on the zero level set and weak supe...

Jia-Yi Kong, Chen Zong, Fei Hou et al. · 0 citations
Preprint Oct 2026

Volume Rendering with Metric--Phase Fields for Thin Structures and Sign-Ambiguous Geometry

Neural implicit surface methods that couple volume rendering with signed distance functions (SDFs), such as VolSDF and NeuS, achieve high-quality multi-view reconstruction for watertight objects. However, these approaches rely on a globally consistent inside-outside partition of space. This assumption becomes fragile f...

Jun-Kai Deng, Jia-Yi Kong, Xu-Hui Chen et al. · 0 citations

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