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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

This paper presents preliminary work on a novel connection between certified robustness in machine learning and the modeling of 3D objects. We highlight an intriguing link between the Maximal Certified Radius (MCR) of a classifier…

Computer Vision and Pattern Recognition · Computer Science 2024-08-26 Gabriel Pérez S , Juan C. Pérez , Motasem Alfarra , Jesús Zarzar , Sara Rojas , Bernard Ghanem , Pablo Arbeláez

Optimization-based trajectory generation methods are widely used in whole-body planning for robots. However, existing work either oversimplifies the robot's geometry and environment representation, resulting in a conservative trajectory, or…

Robotics · Computer Science 2023-03-03 Tingrui Zhang , Jingping Wang , Chao Xu , Alan Gao , Fei Gao

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

We investigate the generalization capabilities of neural signed distance functions (SDFs) for learning 3D object representations for unseen and unlabeled point clouds. Existing methods can fit SDFs to a handful of object classes and boast…

Computer Vision and Pattern Recognition · Computer Science 2022-10-06 Gene Chou , Ilya Chugunov , Felix Heide

Real-time 3D reconstruction from RGB-D sensor data plays an important role in many robotic applications, such as object modeling and mapping. The popular method of fusing depth information into a truncated signed distance function (TSDF)…

Computer Vision and Pattern Recognition · Computer Science 2019-08-15 Malte Splietker , Sven Behnke

Accurate segmentation of vascular networks from sparse CT scan slices remains a significant challenge in medical imaging, particularly due to the thin, branching nature of vessels and the inherent sparsity between imaging planes. Existing…

Image and Video Processing · Electrical Eng. & Systems 2025-06-23 Salvatore Esposito , Daniel Rebain , Arno Onken , Changjian Li , Oisin Mac Aodha

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

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

The ability to process environment maps across multiple sessions is critical for robots operating over extended periods of time. Specifically, it is desirable for autonomous agents to detect changes amongst maps of different sessions so as…

We consider the challenging problem of learning Signed Distance Functions (SDF) from sparse and noisy 3D point clouds. In contrast to recent methods that depend on smoothness priors, our method, rooted in a distributionally robust…

Computer Vision and Pattern Recognition · Computer Science 2024-12-24 Amine Ouasfi , Shubhendu Jena , Eric Marchand , Adnane Boukhayma

Canonical distances such as Euclidean distance often fail to capture the appropriate relationships between items, subsequently leading to subpar inference and prediction. Many algorithms have been proposed for automated learning of suitable…

Machine Learning · Statistics 2020-08-24 Tyler M. Tomita , Joshua T. Vogelstein

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

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

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

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

Multi-view shape reconstruction has achieved impressive progresses thanks to the latest advances in neural implicit surface rendering. However, existing methods based on signed distance function (SDF) are limited to closed surfaces, failing…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Yu-Tao Liu , Li Wang , Jie yang , Weikai Chen , Xiaoxu Meng , Bo Yang , Lin Gao

High-dimensional manipulator operation in unstructured environments requires a differentiable, scene-agnostic distance query mechanism to guide safe motion generation. Existing geometric collision checkers are typically non-differentiable,…

Robotics · Computer Science 2026-03-20 Haohua Chen , Yixuan Zhou , Yifan Zhou , Hesheng Wang

Accurate and dense mapping in large-scale environments is essential for various robot applications. Recently, implicit neural signed distance fields (SDFs) have shown promising advances in this task. However, most existing approaches employ…

Robotics · Computer Science 2024-04-30 Shuangfu Song , Junqiao Zhao , Kai Huang , Jiaye Lin , Chen Ye , Tiantian Feng

Neural Surface Reconstruction has become a standard methodology for indoor 3D reconstruction, with Signed Distance Functions (SDFs) proving particularly effective for representing scene geometry. A variety of applications require a detailed…

Computer Vision and Pattern Recognition · Computer Science 2026-05-06 Remi Chierchia , Léo Lebrat , David Ahmedt-Aristizabal , Olivier Salvado , Clinton Fookes , Rodrigo Santa Cruz