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The medial axis, a lower-dimensional descriptor that captures the extrinsic structure of a shape, plays an important role in digital geometry processing. Despite its importance, computing the medial axis transform robustly from diverse…

Computer Vision and Pattern Recognition · Computer Science 2026-02-05 Jiayi Kong , Chen Zong , Jun Luo , Shiqing Xin , Fei Hou , Hanqing Jiang , Chen Qian , Ying He

Unsigned distance fields (UDFs) are widely used in 3D deep learning due to their ability to represent shapes with arbitrary topology. While prior work has largely focused on learning UDFs from point clouds or multi-view images, extracting…

Computer Vision and Pattern Recognition · Computer Science 2025-11-07 Xuhui Chen , Fei Hou , Wencheng Wang , Hong Qin , Ying He

Unsigned Distance Fields (UDFs) are a natural implicit representation for open surfaces but, unlike Signed Distance Fields (SDFs), are challenging to triangulate into explicit meshes. This is especially true at high resolutions where neural…

Graphics · Computer Science 2025-12-23 Federico Stella , Nicolas Talabot , Hieu Le , Pascal Fua

We propose a method, named DualMesh-UDF, to extract a surface from unsigned distance functions (UDFs), encoded by neural networks, or neural UDFs. Neural UDFs are becoming increasingly popular for surface representation because of their…

Graphics · Computer Science 2023-09-19 Congyi Zhang , Guying Lin , Lei Yang , Xin Li , Taku Komura , Scott Schaefer , John Keyser , Wenping Wang

In this paper, we propose a new method, called DoubleCoverUDF, for extracting the zero level-set from unsigned distance fields (UDFs). DoubleCoverUDF takes a learned UDF and a user-specified parameter $r$ (a small positive real number) as…

Computer Vision and Pattern Recognition · Computer Science 2024-01-11 Fei Hou , Xuhui Chen , Wencheng Wang , Hong Qin , Ying He

We present a novel method, called NeuralUDF, for reconstructing surfaces with arbitrary topologies from 2D images via volume rendering. Recent advances in neural rendering based reconstruction have achieved compelling results. However,…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Xiaoxiao Long , Cheng Lin , Lingjie Liu , Yuan Liu , Peng Wang , Christian Theobalt , Taku Komura , Wenping Wang

Recently, building on the foundation of neural radiance field, various techniques have emerged to learn unsigned distance fields (UDF) to reconstruct 3D non-watertight models from multi-view images. Yet, a central challenge in UDF-based…

Computer Vision and Pattern Recognition · Computer Science 2024-04-17 Junkai Deng , Fei Hou , Xuhui Chen , Wencheng Wang , Ying He

Unsigned Distance Fields (UDFs) can be used to represent non-watertight surfaces. However, current approaches to converting them into explicit meshes tend to either be expensive or to degrade the accuracy. Here, we extend the marching cube…

Computer Vision and Pattern Recognition · Computer Science 2022-12-08 Benoit Guillard , Federico Stella , Pascal Fua

High fidelity representation of shapes with arbitrary topology is an important problem for a variety of vision and graphics applications. Owing to their limited resolution, classical discrete shape representations using point clouds, voxels…

Computer Vision and Pattern Recognition · Computer Science 2020-12-15 Rahul Venkatesh , Sarthak Sharma , Aurobrata Ghosh , Laszlo Jeni , Maneesh Singh

Multi-view shape reconstruction has achieved impressive progresses thanks to the latest advances in neural implicit surface rendering. However, existing methods based on signed distance function (SDF) are limited to closed surfaces, failing…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Yu-Tao Liu , Li Wang , Jie yang , Weikai Chen , Xiaoxu Meng , Bo Yang , Lin Gao

Neural implicit representation of geometric shapes has witnessed considerable advancements in recent years. However, common distance field based implicit representations, specifically signed distance field (SDF) for watertight shapes or…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Yujie Lu , Long Wan , Nayu Ding , Yulong Wang , Shuhan Shen , Shen Cai , Lin Gao

Unsigned Distance Functions (UDFs) can be used to represent non-watertight surfaces in a deep learning framework. However, UDFs tend to be brittle and difficult to learn, in part because the surface is located exactly where the UDF is…

Computer Vision and Pattern Recognition · Computer Science 2025-09-19 Hieu Le , Federico Stella , Benoit Guillard , Pascal Fua

While Signed Distance Fields (SDF) are well-established for modeling watertight surfaces, Unsigned Distance Fields (UDF) broaden the scope to include open surfaces and models with complex inner structures. Despite their flexibility, UDFs…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Cheng Xu , Fei Hou , Wencheng Wang , Hong Qin , Zhebin Zhang , Ying He

Diffusion models have shown remarkable results for image generation, editing and inpainting. Recent works explore diffusion models for 3D shape generation with neural implicit functions, i.e., signed distance function and occupancy…

Computer Vision and Pattern Recognition · Computer Science 2024-04-11 Junsheng Zhou , Weiqi Zhang , Baorui Ma , Kanle Shi , Yu-Shen Liu , Zhizhong Han

Unsigned distance fields (UDFs) allow for the representation of models with complex topologies, but extracting accurate zero level sets from these fields poses significant challenges, particularly in preserving topological accuracy and…

Computer Vision and Pattern Recognition · Computer Science 2024-09-02 Xuhui Chen , Fugang Yu , Fei Hou , Wencheng Wang , Zhebin Zhang , Ying He

Unsigned distance fields (UDFs) provide a versatile framework for representing a diverse array of 3D shapes, encompassing both watertight and non-watertight geometries. Traditional UDF learning methods typically require extensive training…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Jiangbei Hu , Yanggeng Li , Fei Hou , Junhui Hou , Zhebin Zhang , Shengfa Wang , Na Lei , Ying He

In this work we target a learnable output representation that allows continuous, high resolution outputs of arbitrary shape. Recent works represent 3D surfaces implicitly with a Neural Network, thereby breaking previous barriers in…

Computer Vision and Pattern Recognition · Computer Science 2020-10-28 Julian Chibane , Aymen Mir , Gerard Pons-Moll

Unsigned distance functions (UDFs) have been a vital representation for open surfaces. With different differentiable renderers, current methods are able to train neural networks to infer a UDF by minimizing the rendering errors with the UDF…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Wenyuan Zhang , Chunsheng Wang , Kanle Shi , Yu-Shen Liu , Zhizhong Han

Reconstructing open surfaces from multi-view images is vital in digitalizing complex objects in daily life. A widely used strategy is to learn unsigned distance functions (UDFs) by checking if their appearance conforms to the image…

Computer Vision and Pattern Recognition · Computer Science 2025-03-31 Shujuan Li , Yu-Shen Liu , Zhizhong Han

Neural Signed Distance Functions (SDFs) excel at reconstructing watertight manifolds but fail on thin structures and open boundaries due to strict inside--outside constraints. Conversely, Unsigned Distance Fields (UDFs) accommodate general…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Jiayi Kong , Xuhui Chen , Chen Zong , Fei Hou , Junhui Hou , Wenping Wang , Ying He
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