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\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

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 introduce a novel depth estimation technique for multi-frame structured light setups using neural implicit representations of 3D space. Our approach employs a neural signed distance field (SDF), trained through self-supervised…

Computer Vision and Pattern Recognition · Computer Science 2024-05-21 Rukun Qiao , Hiroshi Kawasaki , Hongbin Zha

Implicit neural representations map a shape-specific latent code and a 3D coordinate to its corresponding signed distance (SDF) value. However, this approach only offers a single level of detail. Emulating low levels of detail can be…

Computer Vision and Pattern Recognition · Computer Science 2024-09-11 Benoit Guillard , Marc Habermann , Christian Theobalt , Pascal Fua

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

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

Unsigned Distance Functions (UDFs) can be used to represent non-watertight surfaces in a deep learning framework. However, UDFs tend to be brittle and difficult to learn, in part because the surface is located exactly where the UDF is…

Computer Vision and Pattern Recognition · Computer Science 2025-09-19 Hieu Le , Federico Stella , Benoit Guillard , Pascal Fua

Reconstructing a continuous surface from a raw 3D point cloud is a challenging task. Recent methods usually train neural networks to overfit on single point clouds to infer signed distance functions (SDFs). However, neural networks tend to…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Takeshi Noda , Chao Chen , Weiqi Zhang , Xinhai Liu , Yu-Shen Liu , Zhizhong Han

Latest methods represent shapes with open surfaces using unsigned distance functions (UDFs). They train neural networks to learn UDFs and reconstruct surfaces with the gradients around the zero level set of the UDF. However, the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-23 Junsheng Zhou , Baorui Ma , Shujuan Li , Yu-Shen Liu , Zhizhong Han

Learning-based point cloud registration methods can handle clean point clouds well, while it is still challenging to generalize to noisy, partial, and density-varying point clouds. To this end, we propose a novel point cloud registration…

Computer Vision and Pattern Recognition · Computer Science 2024-01-12 Leida Zhang , Zhengda Lu , Kai Liu , Yiqun Wang

Neural Signed Distance Functions (SDFs) excel at reconstructing watertight manifolds but fail on thin structures and open boundaries due to strict inside--outside constraints. Conversely, Unsigned Distance Fields (UDFs) accommodate general…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Jiayi Kong , Xuhui Chen , Chen Zong , Fei Hou , Junhui Hou , Wenping Wang , Ying He

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

We introduce a novel approach for rendering static and dynamic 3D neural signed distance functions (SDF) in real-time. We rely on nested neighborhoods of zero-level sets of neural SDFs, and mappings between them. This framework supports…

Graphics · Computer Science 2022-12-08 Vinícius da Silva , Tiago Novello , Guilherme Schardong , Luiz Schirmer , Hélio Lopes , Luiz Velho

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

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

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

We introduce a neural implicit framework that exploits the differentiable properties of neural networks and the discrete geometry of point-sampled surfaces to approximate them as the level sets of neural implicit functions. To train a…

Graphics · Computer Science 2024-03-07 Tiago Novello , Guilherme Schardong , Luiz Schirmer , Vinicius da Silva , Helio Lopes , Luiz Velho

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

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

Neural implicit surfaces are a promising tool for geometry processing that represent a solid object as the zero level set of a neural network. Usually trained to approximate a signed distance function of the considered object, these methods…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Guillaume Coiffier , Louis Bethune