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We propose a novel method for reconstructing explicit parameterized surfaces from Signed Distance Fields (SDFs), a widely used implicit neural representation (INR) for 3D surfaces. While traditional reconstruction methods like Marching…

Graphics · Computer Science 2024-10-07 Haotian Yin , Przemyslaw Musialski

Neural implicit surface reconstruction with signed distance function has made significant progress, but recovering fine details such as thin structures and complex geometries remains challenging due to unreliable or noisy geometric priors.…

Computer Vision and Pattern Recognition · Computer Science 2026-03-02 Qiyu Feng , Jiwei Shan , Shing Shin Cheng , Hesheng Wang

Reconstructing 3D vehicles from noisy and sparse partial point clouds is of great significance to autonomous driving. Most existing 3D reconstruction methods cannot be directly applied to this problem because they are elaborately designed…

Computer Vision and Pattern Recognition · Computer Science 2023-10-02 Yibo Liu , Kelly Zhu , Guile Wu , Yuan Ren , Bingbing Liu , Yang Liu , Jinjun Shan

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

It is vital to infer a signed distance function (SDF) in multi-view based surface reconstruction. 3D Gaussian splatting (3DGS) provides a novel perspective for volume rendering, and shows advantages in rendering efficiency and quality.…

Computer Vision and Pattern Recognition · Computer Science 2024-10-21 Wenyuan Zhang , Yu-Shen Liu , Zhizhong Han

The signed distance field is a popular implicit shape representation in robotics, providing geometric information about objects and obstacles in a form that can easily be combined with control, optimization and learning techniques. Most…

Robotics · Computer Science 2024-06-04 Yiming Li , Xuemin Chi , Amirreza Razmjoo , Sylvain Calinon

Unsigned distance functions offer a powerful and flexible implicit surface representation that, unlike their signed counterparts, allow for surfaces that are open, non-orientable, or non-manifold. We consider the problem of reconstructing…

Graphics · Computer Science 2026-05-11 Ningna Wang , Xiana Carrera , Christopher Batty , Oded Stein , Silvia Sellán

Implicit Neural Representations have gained prominence as a powerful framework for capturing complex data modalities, encompassing a wide range from 3D shapes to images and audio. Within the realm of 3D shape representation, Neural Signed…

Computer Vision and Pattern Recognition · Computer Science 2024-04-04 Amine Ouasfi , Adnane Boukhayma

It is vital to infer signed distance functions (SDFs) from 3D point clouds. The latest methods rely on generalizing the priors learned from large scale supervision. However, the learned priors do not generalize well to various geometric…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Chao Chen , Yu-Shen Liu , Zhizhong Han

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

Signed distance map (SDM) is a common representation of surfaces in medical image analysis and machine learning. The computational complexity of SDM for 3D parametric shapes is often a bottleneck in many applications, thus limiting their…

This paper proposes a deep-learning-based method for recovering a signed distance function (SDF) of a given hypersurface represented by an implicit level set function. Using the flexibility of constructing a neural network, we use an…

Numerical Analysis · Mathematics 2023-05-16 Yesom Park , Chang hoon Song , Jooyoung Hahn , Myungjoo Kang

Robots reason about the environment through dedicated representations. Popular choices for dense representations exploit Truncated Signed Distance Functions (TSDF) and Octree data structures. However, TSDF provides a projective or…

Robotics · Computer Science 2024-12-13 Lan Wu , Cedric Le Gentil , Teresa Vidal-Calleja

Deep neural networks (DNNs) are widely applied for nowadays 3D surface reconstruction tasks and such methods can be further divided into two categories, which respectively warp templates explicitly by moving vertices or represent 3D…

Computer Vision and Pattern Recognition · Computer Science 2023-06-06 Xianghui Yang , Guosheng Lin , Zhenghao Chen , Luping Zhou

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

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

Generating an interpretable and compact representation of 3D shapes from point clouds is an important and challenging problem. This paper presents CSG-Stump Net, an unsupervised end-to-end network for learning shapes from point clouds and…

Computer Vision and Pattern Recognition · Computer Science 2021-08-26 Daxuan Ren , Jianmin Zheng , Jianfei Cai , Jiatong Li , Haiyong Jiang , Zhongang Cai , Junzhe Zhang , Liang Pan , Mingyuan Zhang , Haiyu Zhao , Shuai Yi

We propose a non-intrusive method to build surrogate models that approximate the solution of parameterized partial differential equations (PDEs), capable of taking into account the dependence of the solution on the shape of the…

Numerical Analysis · Mathematics 2024-09-20 Linying Zhang , Stefano Pagani , Jun Zhang , Francesco Regazzoni

We present learning-based implicit shape representations designed for real-time avatar collision queries arising in the simulation of clothing. Signed distance functions (SDFs) have been used for such queries for many years due to their…

Computer Vision and Pattern Recognition · Computer Science 2024-11-12 Osman Akar , Yushan Han , Yizhou Chen , Weixian Lan , Benn Gallagher , Ronald Fedkiw , Joseph Teran

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