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We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. To this end, we replace the commonly used eikonal equation with the heat method, carrying over to the neural domain what…

Numerical Analysis · Mathematics 2026-02-02 Samuel Weidemaier , Florine Hartwig , Josua Sassen , Sergio Conti , Mirela Ben-Chen , Martin Rumpf

Neural implicit functions have recently shown promising results on surface reconstructions from multiple views. However, current methods still suffer from excessive time complexity and poor robustness when reconstructing unbounded or…

Computer Vision and Pattern Recognition · Computer Science 2022-06-08 Jingyang Zhang , Yao Yao , Shiwei Li , Tian Fang , David McKinnon , Yanghai Tsin , Long Quan

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

Neural implicit representations have emerged as a powerful paradigm for 3D reconstruction. However, despite their success, existing methods fail to capture fine geometric details and thin structures, especially in scenarios where only…

Computer Vision and Pattern Recognition · Computer Science 2025-04-23 Aarya Patel , Hamid Laga , Ojaswa Sharma

Dense reconstruction and differentiable rendering are fundamental tightly connected operations in 3D vision and computer graphics. Recent neural implicit representations demonstrate compelling advantages in reconstruction fidelity and…

Robotics · Computer Science 2026-05-25 Zhirui Dai , Hojoon Shin , Yulun Tian , Ki Myung Brian Lee , Nikolay Atanasov

Recovering high-quality surfaces from irregular point cloud is ill-posed unless strong geometric priors are available. We introduce an implicit self-prior approach that distills a shape-specific prior directly from the input point cloud…

Computer Vision and Pattern Recognition · Computer Science 2025-11-13 Kyle Fogarty , Chenyue Cai , Jing Yang , Zhilin Guo , Cengiz Öztireli

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

We proposed a generalized method, NeuralSSD, for reconstructing a 3D implicit surface from the widely-available point cloud data. NeuralSSD is a solver-based on the neural Galerkin method, aimed at reconstructing higher-quality and accurate…

Computer Vision and Pattern Recognition · Computer Science 2025-11-19 Zi-Chen Xi , Jiahui Huang , Hao-Xiang Chen , Francis Williams , Qun-Ce Xu , Tai-Jiang Mu , Shi-Min Hu

The aim of this paper is the reconstruction of a smooth surface from an unorganized point cloud sampled by a closed surface, with the preservation of geometric shapes, without any further information other than the point cloud. Implicit…

Computer Vision and Pattern Recognition · Computer Science 2023-11-01 Yesom Park , Taekyung Lee , Jooyoung Hahn , Myungjoo Kang

It is an important task to reconstruct surfaces from 3D point clouds. Current methods are able to reconstruct surfaces by learning Signed Distance Functions (SDFs) from single point clouds without ground truth signed distances or point…

Computer Vision and Pattern Recognition · Computer Science 2022-04-25 Baorui Ma , Yu-Shen Liu , Zhizhong Han

Despite recent advances in reconstructing an organic model with the neural signed distance function (SDF), the high-fidelity reconstruction of a CAD model directly from low-quality unoriented point clouds remains a significant challenge. In…

Computer Vision and Pattern Recognition · Computer Science 2024-04-23 Qiujie Dong , Rui Xu , Pengfei Wang , Shuangmin Chen , Shiqing Xin , Xiaohong Jia , Wenping Wang , Changhe Tu

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

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

Existing neural implicit surface reconstruction methods have achieved impressive performance in multi-view 3D reconstruction by leveraging explicit geometry priors such as depth maps or point clouds as regularization. However, the…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Hanlin Chen , Chen Li , Yunsong Wang , Gim Hee Lee

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

Reconstructing accurate implicit surface representations from point clouds remains a challenging task, particularly when data is captured using low-quality scanning devices. These point clouds often contain substantial noise, leading to…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Tengkai Wang , Weihao Li , Ruikai Cui , Shi Qiu , Nick Barnes

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 2024-04-04 Amine Ouasfi , Adnane Boukhayma

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

\textit{Implicit neural representations} (INRs) have emerged as a promising framework for representing signals in low-dimensional spaces. This survey reviews the existing literature on the specialized INR problem of approximating…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Luiz Schirmer , Tiago Novello , Vinícius da Silva , Guilherme Schardong , Daniel Perazzo , Hélio Lopes , Nuno Gonçalves , Luiz Velho

Representing shapes as level sets of neural networks has been recently proved to be useful for different shape analysis and reconstruction tasks. So far, such representations were computed using either: (i) pre-computed implicit shape…

Machine Learning · Computer Science 2020-07-10 Amos Gropp , Lior Yariv , Niv Haim , Matan Atzmon , Yaron Lipman
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