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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

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 present a simple algorithm for differentiable rendering of surfaces represented by Signed Distance Fields (SDF), which makes it easy to integrate rendering into gradient-based optimization pipelines. To tackle visibility-related…

Graphics · Computer Science 2024-06-10 Zichen Wang , Xi Deng , Ziyi Zhang , Wenzel Jakob , Steve Marschner

\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

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

In this work, we propose a novel approach to represent robot geometry as distance fields (RDF) that extends the principle of signed distance fields (SDFs) to articulated kinematic chains. Our method employs a combination of Bernstein…

Robotics · Computer Science 2024-03-19 Yiming Li , Yan Zhang , Amirreza Razmjoo , Sylvain Calinon

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

This work proposes an optimization-based manipulation planning framework where the objectives are learned functionals of signed-distance fields that represent objects in the scene. Most manipulation planning approaches rely on analytical…

Robotics · Computer Science 2021-10-05 Danny Driess , Jung-Su Ha , Marc Toussaint , Russ Tedrake

Neural implicit reconstruction via volume rendering has demonstrated its effectiveness in recovering dense 3D surfaces. However, it is non-trivial to simultaneously recover meticulous geometry and preserve smoothness across regions with…

Computer Vision and Pattern Recognition · Computer Science 2025-04-09 Ziyu Tang , Weicai Ye , Yifan Wang , Di Huang , Hujun Bao , Tong He , Guofeng Zhang

Kernel methods are an incredibly popular technique for extending linear models to non-linear problems via a mapping to an implicit, high-dimensional feature space. While kernel methods are computationally cheaper than an explicit feature…

Machine Learning · Statistics 2019-02-26 Philip Milton , Emanuele Giorgi , Samir Bhatt

We extend the recently proposed sparse voxel rasterization paradigm to the task of high-fidelity surface reconstruction by integrating Signed Distance Function (SDF), named SVRecon. Unlike 3D Gaussians, sparse voxels are spatially…

Computer Vision and Pattern Recognition · Computer Science 2025-11-24 Seunghun Oh , Jaesung Choe , Dongjae Lee , Daeun Lee , Seunghoon Jeong , Yu-Chiang Frank Wang , Jaesik Park

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

A signed distance function (SDF) as the 3D shape description is one of the most effective approaches to represent 3D geometry for rendering and reconstruction. Our work is inspired by the state-of-the-art method DeepSDF that learns and…

Computer Vision and Pattern Recognition · Computer Science 2021-08-20 Shun Yao , Fei Yang , Yongmei Cheng , Mikhail G. Mozerov

Learning signed distance functions (SDFs) from point clouds is an important task in 3D computer vision. However, without ground truth signed distances, point normals or clean point clouds, current methods still struggle from learning SDFs…

Computer Vision and Pattern Recognition · Computer Science 2024-07-22 Junsheng Zhou , Baorui Ma , Yu-Shen Liu , Zhizhong Han

Neural distance fields (NDF) have emerged as a powerful tool for addressing challenges in 3D computer vision and graphics downstream problems. While significant progress has been made to learn NDF from various kind of sensor data, a crucial…

Computer Vision and Pattern Recognition · Computer Science 2024-12-23 Akshit Singh , Karan Bhakuni , Rajendra Nagar

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

Generative AI has emerged as a transformative paradigm in engineering design, enabling automated synthesis and reconstruction of complex 3D geometries while preserving feasibility and performance relevance. This paper introduces a…

Machine Learning · Computer Science 2026-01-21 Ashish S. Nair , Sandipp Krishnan Ravi , Itzel Salgado , Changjie Sun , Sayan Ghosh , Liping Wang

Evaluating distance to collision for robot manipulators is useful for assessing the feasibility of a robot configuration or for defining safe robot motion in unpredictable environments. However, distance estimation is a timeconsuming…

Robotics · Computer Science 2020-06-01 Nikhil Das , Michael C. Yip

In this paper, we propose ContactSDF, a method that uses signed distance functions (SDFs) to approximate multi-contact models, including both collision detection and time-stepping routines. ContactSDF first establishes an SDF using the…

Robotics · Computer Science 2025-03-21 Wen Yang , Wanxin Jin

Partitioning a polygonal mesh into meaningful parts can be challenging. Many applications require decomposing such structures for further processing in computer graphics. In the last decade, several methods were proposed to tackle this…

Graphics · Computer Science 2023-09-01 Bruno Roy
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