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Segmentation of anatomical shapes from medical images has taken an important role in the automation of clinical measurements. While typical deep-learning segmentation approaches are performed on discrete voxels, the underlying objects being…

Image and Video Processing · Electrical Eng. & Systems 2023-09-19 Nil Stolt-Ansó , Julian McGinnis , Jiazhen Pan , Kerstin Hammernik , Daniel Rueckert

Deep neural networks (DNNs) are widely applied for nowadays 3D surface reconstruction tasks and such methods can be further divided into two categories, which respectively warp templates explicitly by moving vertices or represent 3D…

Computer Vision and Pattern Recognition · Computer Science 2023-06-06 Xianghui Yang , Guosheng Lin , Zhenghao Chen , Luping Zhou

Shape implicit neural representations (INRs) have recently shown to be effective in shape analysis and reconstruction tasks. Existing INRs require point coordinates to learn the implicit level sets of the shape. When a normal vector is…

Computer Vision and Pattern Recognition · Computer Science 2023-05-18 Yizhak Ben-Shabat , Chamin Hewa Koneputugodage , Stephen Gould

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

Implicit 3D surface reconstruction of an object from its partial and noisy 3D point cloud scan is the classical geometry processing and 3D computer vision problem. In the literature, various 3D shape representations have been developed,…

Computer Vision and Pattern Recognition · Computer Science 2024-02-13 Atharva Pandey , Vishal Yadav , Rajendra Nagar , Santanu Chaudhury

\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

We present a method for differentiable rendering of 3D surfaces that supports both explicit and implicit representations, provides derivatives at occlusion boundaries, and is fast and simple to implement. The method first samples the…

Graphics · Computer Science 2021-08-12 Forrester Cole , Kyle Genova , Avneesh Sud , Daniel Vlasic , Zhoutong Zhang

Neural implicit surface representations have recently emerged as popular alternative to explicit 3D object encodings, such as polygonal meshes, tabulated points, or voxels. While significant work has improved the geometric fidelity of these…

Graphics · Computer Science 2023-06-27 Yanran Guan , Andrei Chubarau , Ruby Rao , Derek Nowrouzezahrai

Many tasks require mapping continuous input data (e.g. images) to discrete task outputs (e.g. class labels). Yet, how neural networks learn to perform such discrete computations on continuous data manifolds remains poorly understood. Here,…

Machine Learning · Computer Science 2025-12-02 Julian Brandon , Angus Chadwick , Arthur Pellegrino

Neural models learn representations of high-dimensional data on low-dimensional manifolds. Multiple factors, including stochasticities in the training process, model architectures, and additional inductive biases, may induce different…

Machine Learning · Computer Science 2025-12-02 Hanlin Yu , Berfin Inal , Georgios Arvanitidis , Soren Hauberg , Francesco Locatello , Marco Fumero

Point cloud learning often rests on the premise that observed samples are noisy traces of an underlying geometric object, such as a manifold embedded in a high-dimensional feature space. Yet much of this geometry is not captured directly by…

Machine Learning · Computer Science 2026-05-18 Bruno Trentini , Jacob Hume , Vincenzo Antonio Isoldi , Philipp Misof , Ekaterina S. Ivshina , Kelly Maggs

Recently, methods for neural surface representation and rendering, for example NeuS, have shown that learning neural implicit surfaces through volume rendering is becoming increasingly popular and making good progress. However, these…

Computer Vision and Pattern Recognition · Computer Science 2023-03-31 Hanqi Jiang , Cheng Zeng , Runnan Chen , Shuai Liang , Yinhe Han , Yichao Gao , Conglin Wang

Visual localization techniques rely upon some underlying scene representation to localize against. These representations can be explicit such as 3D SFM map or implicit, such as a neural network that learns to encode the scene. The former…

Computer Vision and Pattern Recognition · Computer Science 2024-06-13 Maxime Pietrantoni , Gabriela Csurka , Martin Humenberger , Torsten Sattler

In recent years, neural implicit representations have made remarkable progress in modeling of 3D shapes with arbitrary topology. In this work, we address two key limitations of such representations, in failing to capture local 3D geometric…

Computer Vision and Pattern Recognition · Computer Science 2022-04-01 Yunlu Chen , Basura Fernando , Hakan Bilen , Matthias Nießner , Efstratios Gavves

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

Point set is a flexible and lightweight representation widely used for 3D deep learning. However, their discrete nature prevents them from representing continuous and fine geometry, posing a major issue for learning-based shape generation.…

Computer Vision and Pattern Recognition · Computer Science 2021-04-07 Shi-Lin Liu , Hao-Xiang Guo , Hao Pan , Peng-Shuai Wang , Xin Tong , Yang Liu

Many analyses in particle and nuclear physics use simulations to infer fundamental, effective, or phenomenological parameters of the underlying physics models. When the inference is performed with unfolded cross sections, the observables…

Data Analysis, Statistics and Probability · Physics 2024-09-19 Owen Long , Benjamin Nachman

Implicit neural representations are powerful for geometric modeling, but their practical use is often limited by the high computational cost of network evaluations. We observe that implicit representations require progressively lower…

Graphics · Computer Science 2026-04-30 Chuanxiang Yang , Junhui Hou , Yuan Liu , Siyu Ren , Guangshun Wei , Taku Komura , Yuanfeng Zhou , Wenping Wang

In the field of computer vision, the numerical encoding of 3D surfaces is crucial. It is classical to represent surfaces with their Signed Distance Functions (SDFs) or Unsigned Distance Functions (UDFs). For tasks like representation…

Computer Vision and Pattern Recognition · Computer Science 2024-05-07 Virgile Foy , Fabrice Gamboa , Reda Chhaibi

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