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Related papers: Medial Axis Aware Learning of Signed Distance Func…

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We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. To this end, we replace the commonly used eikonal equation with the heat method, carrying over to the neural domain what…

Numerical Analysis · Mathematics 2026-02-02 Samuel Weidemaier , Florine Hartwig , Josua Sassen , Sergio Conti , Mirela Ben-Chen , Martin Rumpf

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

Dense reconstruction and differentiable rendering are fundamental tightly connected operations in 3D vision and computer graphics. Recent neural implicit representations demonstrate compelling advantages in reconstruction fidelity and…

Robotics · Computer Science 2026-05-25 Zhirui Dai , Hojoon Shin , Yulun Tian , Ki Myung Brian Lee , Nikolay Atanasov

As commonly used implicit geometry representations, the signed distance function (SDF) is limited to modeling watertight shapes, while the unsigned distance function (UDF) is capable of representing various surfaces. However, its inherent…

Computer Vision and Pattern Recognition · Computer Science 2025-06-03 Chuanxiang Yang , Yuanfeng Zhou , Guangshun Wei , Long Ma , Junhui Hou , Yuan Liu , Wenping Wang

Neural networks that map 3D coordinates to signed distance function (SDF) or occupancy values have enabled high-fidelity implicit representations of object shape. This paper develops a new shape model that allows synthesizing novel distance…

Computer Vision and Pattern Recognition · Computer Science 2021-12-07 Ehsan Zobeidi , Nikolay Atanasov

We describe in this short note a technique to convert an implicit surface into a Signed Distance Function (SDF) while exactly preserving the zero level-set of the implicit. The proposed approach relies on embedding the input implicit in the…

Graphics · Computer Science 2021-06-07 Pierre-Alain Fayolle

Neural signed distance functions (SDFs) have shown remarkable capability in representing geometry with details. However, without signed distance supervision, it is still a challenge to infer SDFs from point clouds or multi-view images using…

Computer Vision and Pattern Recognition · Computer Science 2023-05-22 Baorui Ma , Junsheng Zhou , Yu-Shen Liu , Zhizhong Han

Neural signed distance functions (SDFs) have shown powerful ability in fitting the shape geometry. However, inferring continuous signed distance fields from discrete unoriented point clouds still remains a challenge. The neural network…

Computer Vision and Pattern Recognition · Computer Science 2024-09-11 Shengtao Li , Ge Gao , Yudong Liu , Ming Gu , Yu-Shen Liu

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

It is important to estimate an accurate signed distance function (SDF) from a point cloud in many computer vision applications. The latest methods learn neural SDFs using either a data-driven based or an overfitting-based strategy. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Chao Chen , Yu-Shen Liu , Zhizhong Han

Signed distance fields (SDFs) are a widely used implicit surface representation, with broad applications in computer graphics, computer vision, and applied mathematics. To reconstruct an explicit triangle mesh surface corresponding to an…

Graphics · Computer Science 2023-08-22 Silvia Sellán , Christopher Batty , Oded Stein

Probabilistic diffusion models have achieved state-of-the-art results for image synthesis, inpainting, and text-to-image tasks. However, they are still in the early stages of generating complex 3D shapes. This work proposes Diffusion-SDF, a…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Gene Chou , Yuval Bahat , Felix Heide

Accurate and compact representation of signed distance functions (SDFs) of implicit surfaces is crucial for efficient storage, computation, and downstream processing of 3D geometry. In this work, we propose a general learning method for…

Graphics · Computer Science 2026-02-10 Bobo Lian , Zidong Wang , Dandan Wang , Chenjian Wu , Minxin Chen

Surface reconstruction for point clouds is an important task in 3D computer vision. Most of the latest methods resolve this problem by learning signed distance functions from point clouds, which are limited to reconstructing closed…

Computer Vision and Pattern Recognition · Computer Science 2024-05-27 Junsheng Zhou , Baorui Ma , Shujuan Li , Yu-Shen Liu , Yi Fang , Zhizhong Han

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

Computer graphics, 3D computer vision and robotics communities have produced multiple approaches to representing 3D geometry for rendering and reconstruction. These provide trade-offs across fidelity, efficiency and compression…

Computer Vision and Pattern Recognition · Computer Science 2019-01-17 Jeong Joon Park , Peter Florence , Julian Straub , Richard Newcombe , Steven Lovegrove

We propose a novel 3D spatial representation for data fusion and scene reconstruction. Probabilistic Signed Distance Function (Probabilistic SDF, PSDF) is proposed to depict uncertainties in the 3D space. It is modeled by a joint…

Robotics · Computer Science 2018-07-31 Wei Dong , Qiuyuan Wang , Xin Wang , Hongbin Zha

Recent work has made significant progress on using implicit functions, as a continuous representation for 3D rigid object shape reconstruction. However, much less effort has been devoted to modeling general articulated objects. Compared to…

Computer Vision and Pattern Recognition · Computer Science 2021-04-16 Jiteng Mu , Weichao Qiu , Adam Kortylewski , Alan Yuille , Nuno Vasconcelos , Xiaolong Wang

Vision-centric 3D environment understanding is both vital and challenging for autonomous driving systems. Recently, object-free methods have attracted considerable attention. Such methods perceive the world by predicting the semantics of…

Computer Vision and Pattern Recognition · Computer Science 2024-03-22 Lizhe Liu , Bohua Wang , Hongwei Xie , Daqi Liu , Li Liu , Zhiqiang Tian , Kuiyuan Yang , Bing Wang

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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