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The medial axis, a lower-dimensional descriptor that captures the extrinsic structure of a shape, plays an important role in digital geometry processing. Despite its importance, computing the medial axis transform robustly from diverse…

Computer Vision and Pattern Recognition · Computer Science 2026-02-05 Jiayi Kong , Chen Zong , Jun Luo , Shiqing Xin , Fei Hou , Hanqing Jiang , Chen Qian , Ying He

Neural implicit functions have emerged as a powerful representation for surfaces in 3D. Such a function can encode a high quality surface with intricate details into the parameters of a deep neural network. However, optimizing for the…

Computer Vision and Pattern Recognition · Computer Science 2021-04-13 Wang Yifan , Shihao Wu , Cengiz Oztireli , Olga Sorkine-Hornung

Implicit Neural Representations have gained prominence as a powerful framework for capturing complex data modalities, encompassing a wide range from 3D shapes to images and audio. Within the realm of 3D shape representation, Neural Signed…

Computer Vision and Pattern Recognition · Computer Science 2024-08-28 Amine Ouasfi , Adnane Boukhayma

In this paper, we study the problem of continuous 3D shape representations. The majority of existing successful methods are coordinate-based implicit neural representations. However, they are inefficient to render novel views or recover…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Zhuoman Liu , Bo Yang , Yan Luximon , Ajay Kumar , Jinxi Li

Modeling scene geometry using implicit neural representation has revealed its advantages in accuracy, flexibility, and low memory usage. Previous approaches have demonstrated impressive results using color or depth images but still have…

Robotics · Computer Science 2023-03-01 Dongyu Yan , Xiaoyang Lyu , Jieqi Shi , Yi Lin

In this paper, we study the problem of 3D scene geometry decomposition and manipulation from 2D views. By leveraging the recent implicit neural representation techniques, particularly the appealing neural radiance fields, we introduce an…

Computer Vision and Pattern Recognition · Computer Science 2023-03-13 Bing Wang , Lu Chen , Bo Yang

UMAP (Uniform Manifold Approximation and Projection) is a novel manifold learning technique for dimension reduction. UMAP is constructed from a theoretical framework based in Riemannian geometry and algebraic topology. The result is a…

Machine Learning · Statistics 2020-09-21 Leland McInnes , John Healy , James Melville

We propose a novel method for reconstructing explicit parameterized surfaces from Signed Distance Fields (SDFs), a widely used implicit neural representation (INR) for 3D surfaces. While traditional reconstruction methods like Marching…

Graphics · Computer Science 2024-10-07 Haotian Yin , Przemyslaw Musialski

Neural signed distance functions (SDFs) are emerging as an effective representation for 3D shapes. State-of-the-art methods typically encode the SDF with a large, fixed-size neural network to approximate complex shapes with implicit…

Computer Vision and Pattern Recognition · Computer Science 2021-01-27 Towaki Takikawa , Joey Litalien , Kangxue Yin , Karsten Kreis , Charles Loop , Derek Nowrouzezahrai , Alec Jacobson , Morgan McGuire , Sanja Fidler

Unsigned distance fields (UDFs) are widely used in 3D deep learning due to their ability to represent shapes with arbitrary topology. While prior work has largely focused on learning UDFs from point clouds or multi-view images, extracting…

Computer Vision and Pattern Recognition · Computer Science 2025-11-07 Xuhui Chen , Fei Hou , Wencheng Wang , Hong Qin , Ying He

Implicit neural representations have shown promising potential for the 3D scene reconstruction. Recent work applies it to autonomous 3D reconstruction by learning information gain for view path planning. Effective as it is, the computation…

Robotics · Computer Science 2022-09-28 Jing Zeng , Yanxu Li , Yunlong Ran , Shuo Li , Fei Gao , Lincheng Li , Shibo He , Jiming chen , Qi Ye

3D geometry is a very informative cue when interacting with and navigating an environment. This writing proposes a new approach to 3D reconstruction and scene understanding, which implicitly learns 3D geometry from depth maps pairing a deep…

Computer Vision and Pattern Recognition · Computer Science 2018-08-22 Dario Rethage , Federico Tombari , Felix Achilles , Nassir Navab

The question of representation of 3D geometry is of vital importance when it comes to leveraging the recent advances in the field of machine learning for geometry processing tasks. For common unstructured surface meshes state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2018-09-28 Isaak Lim , Alexander Dielen , Marcel Campen , Leif Kobbelt

In this work we address the challenging problem of multiview 3D surface reconstruction. We introduce a neural network architecture that simultaneously learns the unknown geometry, camera parameters, and a neural renderer that approximates…

Computer Vision and Pattern Recognition · Computer Science 2020-10-27 Lior Yariv , Yoni Kasten , Dror Moran , Meirav Galun , Matan Atzmon , Ronen Basri , Yaron Lipman

Neural implicit surface representations are currently receiving a lot of interest as a means to achieve high-fidelity surface reconstruction at a low memory cost, compared to traditional explicit representations.However, state-of-the-art…

Robotics · Computer Science 2024-09-20 Shuo Sun , Malcolm Mielle , Achim J. Lilienthal , Martin Magnusson

Dense 3D reconstruction has many applications in automated driving including automated annotation validation, multimodal data augmentation, providing ground truth annotations for systems lacking LiDAR, as well as enhancing auto-labeling…

Computer Vision and Pattern Recognition · Computer Science 2024-02-13 Shihao Shen , Louis Kerofsky , Varun Ravi Kumar , Senthil Yogamani

UMAP is a non-parametric graph-based dimensionality reduction algorithm using applied Riemannian geometry and algebraic topology to find low-dimensional embeddings of structured data. The UMAP algorithm consists of two steps: (1) Compute a…

Machine Learning · Computer Science 2021-08-31 Tim Sainburg , Leland McInnes , Timothy Q Gentner

Recent works on implicit neural representations have shown promising results for multi-view surface reconstruction. However, most approaches are limited to relatively simple geometries and usually require clean object masks for…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Jingyang Zhang , Yao Yao , Long Quan

This comparative study evaluates various neural surface reconstruction methods, particularly focusing on their implications for scientific visualization through reconstructing 3D surfaces via multi-view rendering images. We categorize ten…

Graphics · Computer Science 2024-07-31 Siyuan Yao , Weixi Song , Chaoli Wang

Extracting surfaces from Signed Distance Fields (SDFs) can be accomplished using traditional algorithms, such as Marching Cubes. However, since they rely on sign flips across the surface, these algorithms cannot be used directly on Unsigned…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Federico Stella , Nicolas Talabot , Hieu Le , Pascal Fua