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Recent advances in computer graphics and computer vision have found successful application of deep neural network models for 3D shapes based on signed distance functions (SDFs) that are useful for shape representation, retrieval, and…

Computer Vision and Pattern Recognition · Computer Science 2020-10-27 Oladapo Afolabi , Allen Y. Yang , S. Shankar Sastry

Accurate surface estimation is critical for downstream tasks in scientific simulation, and quantifying uncertainty in implicit neural 3D representations still remains a substantial challenge due to computational inefficiencies, scalability…

Computer Vision and Pattern Recognition · Computer Science 2025-09-08 Rushil Desai

It is vital to recover 3D geometry from multi-view RGB images in many 3D computer vision tasks. The latest methods infer the geometry represented as a signed distance field by minimizing the rendering error on the field through volume…

Computer Vision and Pattern Recognition · Computer Science 2024-12-24 Sijia Jiang , Tong Wu , Jing Hua , Zhizhong Han

We present iSDF, a continual learning system for real-time signed distance field (SDF) reconstruction. Given a stream of posed depth images from a moving camera, it trains a randomly initialised neural network to map input 3D coordinate to…

Implicit reconstruction of ESDF (Euclidean Signed Distance Field) involves training a neural network to regress the signed distance from any point to the nearest obstacle, which has the advantages of lightweight storage and continuous…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Yufeng Yue , Yinan Deng , Jiahui Wang , Yi Yang

\textit{Implicit neural representations} (INRs) have emerged as a promising framework for representing signals in low-dimensional spaces. This survey reviews the existing literature on the specialized INR problem of approximating…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Luiz Schirmer , Tiago Novello , Vinícius da Silva , Guilherme Schardong , Daniel Perazzo , Hélio Lopes , Nuno Gonçalves , Luiz Velho

In recent years, neural signed distance function (SDF) has become one of the most effective representation methods for 3D models. By learning continuous SDFs in 3D space, neural networks can predict the distance from a given query space…

Computer Vision and Pattern Recognition · Computer Science 2022-01-21 Yuanzhan Li , Yuqi Liu , Yujie Lu , Siyu Zhang , Shen Cai , Yanting Zhang

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

Implicit 3D surface reconstruction of an object from its partial and noisy 3D point cloud scan is the classical geometry processing and 3D computer vision problem. In the literature, various 3D shape representations have been developed,…

Computer Vision and Pattern Recognition · Computer Science 2024-02-13 Atharva Pandey , Vishal Yadav , Rajendra Nagar , Santanu Chaudhury

We present Gradient-SDF, a novel representation for 3D geometry that combines the advantages of implict and explicit representations. By storing at every voxel both the signed distance field as well as its gradient vector field, we enhance…

Computer Vision and Pattern Recognition · Computer Science 2021-11-29 Christiane Sommer , Lu Sang , David Schubert , Daniel Cremers

We introduce a novel approach for rendering static and dynamic 3D neural signed distance functions (SDF) in real-time. We rely on nested neighborhoods of zero-level sets of neural SDFs, and mappings between them. This framework supports…

Graphics · Computer Science 2022-12-08 Vinícius da Silva , Tiago Novello , Guilherme Schardong , Luiz Schirmer , Hélio Lopes , Luiz Velho

Key part of robotics, augmented reality, and digital inspection is dense 3D reconstruction from depth observations. Traditional volumetric fusion techniques, including truncated signed distance functions (TSDF), enable efficient and…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Soumya Mazumdar , Vineet Kumar Rakesh , Tapas Samanta

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

In the field of computer vision, the numerical encoding of 3D surfaces is crucial. It is classical to represent surfaces with their Signed Distance Functions (SDFs) or Unsigned Distance Functions (UDFs). For tasks like representation…

Computer Vision and Pattern Recognition · Computer Science 2024-05-07 Virgile Foy , Fabrice Gamboa , Reda Chhaibi

Given only a set of images, neural implicit surface representation has shown its capability in 3D surface reconstruction. However, as the nature of per-scene optimization is based on the volumetric rendering of color, previous neural…

Computer Vision and Pattern Recognition · Computer Science 2023-03-02 Jing Li , Jinpeng Yu , Ruoyu Wang , Zhengxin Li , Zhengyu Zhang , Lina Cao , Shenghua Gao

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

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

This study addresses the challenge of ensuring safe spacecraft proximity operations, focusing on collision avoidance between a chaser spacecraft and a complex-geometry target spacecraft under disturbances. To ensure safety in such…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Hang Zhou , Tao Meng , Kun Wang , Chengrui Shi , Renhao Mao , Weijia Wang , Jiakun Lei

We propose an algorithm to reconstruct explicit polygonal meshes from discretely sampled Signed Distance Function (SDF) data, which is especially effective at recovering sharp features. Building on the traditional Dual Contouring of Hermite…

Graphics · Computer Science 2026-04-02 Xiana Carrera , Ningna Wang , Christopher Batty , Oded Stein , Silvia Sellán

We propose a method to interpolate Signed Distance Function (SDF) data from a discrete set of samples. Unlike prior work, our approach ensures that the new SDF data values are fully consistent with the input and each other, such that the…

Graphics · Computer Science 2026-05-05 Letao Chen , Sanju Mupparaju , Christopher Batty , Silvia Sellán , Oded Stein