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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

Neural implicit representation is a promising approach for reconstructing surfaces from point clouds. Existing methods combine various regularization terms, such as the Eikonal and Laplacian energy terms, to enforce the learned neural…

Computer Vision and Pattern Recognition · Computer Science 2023-09-07 Zixiong Wang , Yunxiao Zhang , Rui Xu , Fan Zhang , Pengshuai Wang , Shuangmin Chen , Shiqing Xin , Wenping Wang , Changhe Tu

Safety is a fundamental requirement of many robotic systems. Control barrier function (CBF)-based approaches have been proposed to guarantee the safety of robotic systems. However, the effectiveness of these approaches highly relies on the…

Robotics · Computer Science 2024-03-01 Hongchao Zhang , Luyao Niu , Andrew Clark , Radha Poovendran

Control Barrier Functions (CBFs) have been widely utilized in the design of optimization-based controllers and filters for dynamical systems to ensure forward invariance of a given set of safe states. While CBF-based controllers offer…

Systems and Control · Electrical Eng. & Systems 2025-04-14 Damola Ajeyemi , Saber Jafarpour , Emiliano Dall'Anese

Motion planning under sensing uncertainty is critical for robots in unstructured environments to guarantee safety for both the robot and any nearby humans. Most work on planning under uncertainty does not scale to high-dimensional robots…

Various SDF-based neural implicit surface reconstruction methods have been proposed recently, and have demonstrated remarkable modeling capabilities. However, due to the global nature and limited representation ability of a single network,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-17 Leyuan Yang , Bailin Deng , Juyong Zhang

Presenting a 3D scene from multiview images remains a core and long-standing challenge in computer vision and computer graphics. Two main requirements lie in rendering and reconstruction. Notably, SOTA rendering quality is usually achieved…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Mulin Yu , Tao Lu , Linning Xu , Lihan Jiang , Yuanbo Xiangli , Bo Dai

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…

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

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

Designing safety-critical control for robotic manipulators is challenging, especially in a cluttered environment. First, the actual trajectory of a manipulator might deviate from the planned one due to the complex collision environments and…

Robotics · Computer Science 2022-11-14 Xuda Ding , Han Wang , Yi Ren , Yu Zheng , Cailian Chen , Jianping He

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

Implicit neural rendering, which uses signed distance function (SDF) representation with geometric priors (such as depth or surface normal), has led to impressive progress in the surface reconstruction of large-scale scenes. However,…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Xiaoyang Lyu , Peng Dai , Zizhang Li , Dongyu Yan , Yi Lin , Yifan Peng , Xiaojuan Qi

This work investigates the use of Neural implicit representations, specifically Neural Radiance Fields (NeRF), for geometrical queries and motion planning. We show that by adding the capacity to infer occupancy in a radius to a pre-trained…

Robotics · Computer Science 2022-05-04 Michael Pantic , Cesar Cadena , Roland Siegwart , Lionel Ott

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

Safe real-time control of robotic manipulators in unstructured environments requires handling numerous safety constraints without compromising task performance. Traditional approaches, such as artificial potential fields (APFs), suffer from…

Robotics · Computer Science 2025-10-21 Daniel Morton , Marco Pavone

Certifying the safety or robustness of neural networks against input uncertainties and adversarial attacks is an emerging challenge in the area of safe machine learning and control. To provide such a guarantee, one must be able to bound the…

Optimization and Control · Mathematics 2021-09-16 Mahyar Fazlyab , Manfred Morari , George J. Pappas

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

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

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