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Deep implicit surfaces excel at modeling generic shapes but do not always capture the regularities present in manufactured objects, which is something simple geometric primitives are particularly good at. In this paper, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2022-09-09 Subeesh Vasu , Nicolas Talabot , Artem Lukoianov , Pierre Baqué , Jonathan Donier , Pascal Fua

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

We present a model, based on symmetry and geometry, for proteins. Using elementary ideas from mathematics and physics, we derive the geometries of discrete helices and sheets. We postulate a compatible solvent-mediated emergent pairwise…

Soft Condensed Matter · Physics 2023-06-21 Jayanth R. Banavar , Achille Giacometti , Trinh X. Hoang , Amos Maritan , Tatjana Škrbić

Recent work achieved impressive progress towards joint reconstruction of hands and manipulated objects from monocular color images. Existing methods focus on two alternative representations in terms of either parametric meshes or signed…

Computer Vision and Pattern Recognition · Computer Science 2022-07-27 Zerui Chen , Yana Hasson , Cordelia Schmid , Ivan Laptev

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

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

The basic problem of shape complementarity analysis appears fundamental to applications as diverse as mechanical design, assembly automation, robot motion planning, micro- and nano-fabrication, protein-ligand binding, and rational drug…

Computational Geometry · Computer Science 2017-12-05 Morad Behandish , Horea T. Ilies

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

Deep neural representations of 3D shapes as implicit functions have been shown to produce high fidelity models surpassing the resolution-memory trade-off faced by the explicit representations using meshes and point clouds. However, most…

Computer Vision and Pattern Recognition · Computer Science 2021-06-16 Rahul Venkatesh , Tejan Karmali , Sarthak Sharma , Aurobrata Ghosh , R. Venkatesh Babu , László A. Jeni , Maneesh Singh

Accurate 3D models of the human heart require not only correct outer surfaces but also realistic inner structures, such as the ventricles, atria, and myocardial layers. Approaches relying on implicit surfaces, such as signed distance…

Computer Vision and Pattern Recognition · Computer Science 2025-04-03 Hieu Le , Jingyi Xu , Nicolas Talabot , Jiancheng Yang , Pascal Fua

Implicit representations of geometry, such as occupancy fields or signed distance fields (SDF), have recently re-gained popularity in encoding 3D solid shape in a functional form. In this work, we introduce medial fields: a field function…

Graphics · Computer Science 2021-06-08 Daniel Rebain , Ke Li , Vincent Sitzmann , Soroosh Yazdani , Kwang Moo Yi , Andrea Tagliasacchi

Learning effective protein representations is critical in a variety of tasks in biology such as predicting protein function or structure. Existing approaches usually pretrain protein language models on a large number of unlabeled amino acid…

Machine Learning · Computer Science 2023-01-31 Zuobai Zhang , Minghao Xu , Arian Jamasb , Vijil Chenthamarakshan , Aurelie Lozano , Payel Das , Jian Tang

Signed Distance Functions (SDFs) are vital implicit representations to represent high fidelity 3D surfaces. Current methods mainly leverage a neural network to learn an SDF from various supervisions including signed distances, 3D point…

Computer Vision and Pattern Recognition · Computer Science 2024-12-30 Chao Chen , Yu-Shen Liu , Zhizhong Han

Protein structure representation is an important tool in structural biology. There exists different methods of representing the protein 3D structures and different biologists favor different methods based on the information they require.…

Biomolecules · Quantitative Biology 2016-02-29 Vrunda Sheth , Vicente M. Reyes

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

Neural implicit representation of geometric shapes has witnessed considerable advancements in recent years. However, common distance field based implicit representations, specifically signed distance field (SDF) for watertight shapes or…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Yujie Lu , Long Wan , Nayu Ding , Yulong Wang , Shuhan Shen , Shen Cai , Lin Gao

We propose a feed-forward method for dense Signed Distance Field (SDF) regression from unstructured image collections in less than three seconds, without camera calibration or post-hoc fusion. Our key insight is that the intermediate…

Computer Vision and Pattern Recognition · Computer Science 2026-03-30 Laura Fink , Linus Franke , George Kopanas , Marc Stamminger , Peter Hedman

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

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

In this work, we present a new method for 3D face reconstruction from sparse-view RGB images. Unlike previous methods which are built upon 3D morphable models (3DMMs) with limited details, we leverage an implicit representation to encode…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Moran Li , Haibin Huang , Yi Zheng , Mengtian Li , Nong Sang , Chongyang Ma