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Neural signed-distance fields (SDFs) are a versatile backbone for neural geometry representation, but enforcing CAD-style developability usually requires Gaussian-curvature penalties with full Hessian evaluation and second-order…

Neural Fields have emerged as a transformative approach for 3D scene representation in computer vision and robotics, enabling accurate inference of geometry, 3D semantics, and dynamics from posed 2D data. Leveraging differentiable…

Euclidean Signed Distance Field (ESDF) is useful for online motion planning of aerial robots since it can easily query the distance and gradient information against obstacles. Fast incrementally built ESDF map is the bottleneck for…

Robotics · Computer Science 2019-07-29 Luxin Han , Fei Gao , Boyu Zhou , Shaojie Shen

Neural shape representation, such as neural signed distance field (NSDF), becomes more and more popular in shape modeling as its ability to deal with complex topology and arbitrary resolution. Due to the implicit manner to use features for…

Computer Vision and Pattern Recognition · Computer Science 2024-10-08 Xiangyu Zhu , Zhiqin Chen , Ruizhen Hu , Xiaoguang Han

Industrial human-robot collaboration requires motion planning that is collision-free, responsive, and ergonomically safe to reduce fatigue and musculoskeletal risk. We propose the Configuration Space Ergonomic Field (CSEF), a continuous and…

Robotics · Computer Science 2025-12-17 Chenzui Li , Yiming Chen , Xi Wu , Tao Teng , Sylvain Calinon , Darwin Caldwell , Fei Chen

The neural implicit representation has shown its effectiveness in novel view synthesis and high-quality 3D reconstruction from multi-view images. However, most approaches focus on holistic scene representation yet ignore individual objects…

Computer Vision and Pattern Recognition · Computer Science 2022-08-02 Qianyi Wu , Xian Liu , Yuedong Chen , Kejie Li , Chuanxia Zheng , Jianfei Cai , Jianmin Zheng

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

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

Plane Geometry Diagram Synthesis has been a crucial task in computer graphics, with applications ranging from educational tools to AI-driven mathematical reasoning. Traditionally, we rely on manual tools (e.g., Matplotlib and GeoGebra) to…

Computer Vision and Pattern Recognition · Computer Science 2025-11-05 Chengrui Zhang , Maizhen Ning , Tianyi Liu , Zihao Zhou , Jie Sun , Qiufeng Wang , Kaizhu Huang

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

This paper proposes a new set of conditions for exactly representing collision avoidance constraints within optimization-based motion planning algorithms. The conditions are continuously differentiable and therefore suitable for use with…

Robotics · Computer Science 2023-02-21 James Guthrie

Neural signed distance functions (SDFs) have shown powerful ability in fitting the shape geometry. However, inferring continuous signed distance fields from discrete unoriented point clouds still remains a challenge. The neural network…

Computer Vision and Pattern Recognition · Computer Science 2024-09-11 Shengtao Li , Ge Gao , Yudong Liu , Ming Gu , Yu-Shen Liu

Signed Distance Fields (SDFs) for surface representation are commonly generated offline and subsequently loaded into interactive applications like games. Since they are not updated every frame, they only provide a rigid surface…

Graphics · Computer Science 2022-10-11 Yu Wei Tan , Nicholas Chua , Clarence Koh , Anand Bhojan

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

Neural fields, coordinate-based neural networks, have recently gained popularity for implicitly representing a scene. In contrast to classical methods that are based on explicit representations such as point clouds, neural fields provide a…

Robotics · Computer Science 2024-02-16 Stephen Hausler , David Hall , Sutharsan Mahendren , Peyman Moghadam

Object completion networks typically produce static Signed Distance Fields (SDFs) that faithfully reconstruct geometry but cannot be rescaled or deformed without introducing structural distortions. This limitation restricts their use in…

Computer Vision and Pattern Recognition · Computer Science 2026-02-16 Jelle Vermandere , Maarten Bassier , Maarten Vergauwen

Generating collision-free motions in dynamic environments is a challenging problem for high-dimensional robotics, particularly under real-time constraints. Control Barrier Functions (CBFs), widely utilized in safety-critical control, have…

Robotics · Computer Science 2024-12-24 Xuemin Chi , Yiming Li , Jihao Huang , Bolun Dai , Zhitao Liu , Sylvain Calinon

High fidelity representation of shapes with arbitrary topology is an important problem for a variety of vision and graphics applications. Owing to their limited resolution, classical discrete shape representations using point clouds, voxels…

Computer Vision and Pattern Recognition · Computer Science 2020-12-15 Rahul Venkatesh , Sarthak Sharma , Aurobrata Ghosh , Laszlo Jeni , Maneesh Singh

Dense 3D object reconstruction from a single image has recently witnessed remarkable advances, but supervising neural networks with ground-truth 3D shapes is impractical due to the laborious process of creating paired image-shape datasets.…

Computer Vision and Pattern Recognition · Computer Science 2020-10-21 Chen-Hsuan Lin , Chaoyang Wang , Simon Lucey

Implicit neural field generating signed distance field representations (SDFs) of 3D shapes have shown remarkable progress in 3D shape reconstruction and generation. We introduce a new paradigm for neural field representations of 3D scenes;…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Angela Dai , Matthias Nießner
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