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We introduce a novel unsupervised approach to reconstructing a 3D volume from only two planar projections that exploits a previous\-ly-captured 3D volume of the patient. Such volume is readily available in many important medical procedures…

Computer Vision and Pattern Recognition · Computer Science 2025-06-26 Alexandre Cafaro , Amaury Leroy , Guillaume Beldjoudi , Pauline Maury , Charlotte Robert , Eric Deutsch , Vincent Grégoire , Vincent Lepetit , Nikos Paragios

Convolution is an efficient technique to obtain abstract feature representations using hierarchical layers in deep networks. Although performing convolution in Euclidean geometries is fairly straightforward, its extension to other…

Machine Learning · Computer Science 2019-01-04 Sameera Ramasinghe , Salman Khan , Nick Barnes

For 3D medical image (e.g. CT and MRI) segmentation, the difficulty of segmenting each slice in a clinical case varies greatly. Previous research on volumetric medical image segmentation in a slice-by-slice manner conventionally use the…

Image and Video Processing · Electrical Eng. & Systems 2022-07-12 Wenxuan Wang , Chen Chen , Jing Wang , Sen Zha , Yan Zhang , Jiangyun Li

Volumetry is one of the principal downstream applications of 3D medical image segmentation, for example, to detect abnormal tissue growth or for surgery planning. Conformal Prediction is a promising framework for uncertainty quantification,…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Benjamin Lambert , Florence Forbes , Senan Doyle , Michel Dojat

Reconstructing 3D objects from 2D images is both challenging for our brains and machine learning algorithms. To support this spatial reasoning task, contextual information about the overall shape of an object is critical. However, such…

Computer Vision and Pattern Recognition · Computer Science 2022-09-19 Dominik J. E. Waibel , Scott Atwell , Matthias Meier , Carsten Marr , Bastian Rieck

We propose and study a multi-scale approach to vector quantization. We develop an algorithm, dubbed reconstruction trees, inspired by decision trees. Here the objective is parsimonious reconstruction of unsupervised data, rather than…

Machine Learning · Computer Science 2019-09-05 Enrico Cecini , Ernesto De Vito , Lorenzo Rosasco

In this paper we present a new method, which allows for the construction of triangular isosurfaces from three-dimensional data sets, such as 3D image data and/or numerical simulation data that are based on regularly shaped, cubic lattices.…

Computational Geometry · Computer Science 2012-06-11 B. R. Schlei

Three-dimensional ultrasound enables real-time volumetric visualization of anatomical structures. Unlike traditional 2D ultrasound, 3D imaging reduces reliance on precise probe orientation, potentially making ultrasound more accessible to…

Image and Video Processing · Electrical Eng. & Systems 2026-05-05 Tristan S. W. Stevens , Oisín Nolan , Oudom Somphone , Jean-Luc Robert , Ruud J. G. van Sloun

Model-based learned iterative reconstruction methods have recently been shown to outperform classical reconstruction algorithms. Applicability of these methods to large scale inverse problems is however limited by the available memory for…

Image and Video Processing · Electrical Eng. & Systems 2020-04-21 Andreas Hauptmann , Jonas Adler , Simon Arridge , Ozan Öktem

While three-dimensional imaging is essential for clinical diagnosis, its high cost and long wait times have motivated the use of image-to-3D foundation models to infer volume from two-dimensional modalities. However, because these models…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Yan Luo , Advaith Ravishankar , Serena Liu , Yutong Yang , Mengyu Wang

This paper is concerned with inserting three-dimensional computer-aided design (CAD) geometries into meshes composed of hexahedral elements using a volume fraction representation. An adaptive procedure for doing so is presented. The…

Numerical Analysis · Mathematics 2025-11-07 Brian N. Granzow , Stephen D. Bond , Michael J. Powell , Daniel A. Ibanez

The best way to combine the results of deep learning with standard 3D reconstruction pipelines remains an open problem. While systems that pass the output of traditional multi-view stereo approaches to a network for regularisation or…

Computer Vision and Pattern Recognition · Computer Science 2022-07-28 Tristan Laidlow , Jan Czarnowski , Andrea Nicastro , Ronald Clark , Stefan Leutenegger

Human imitation has become topical recently, driven by GAN's ability to disentangle human pose and body content. However, the latest methods hardly focus on 3D information, and to avoid self-occlusion, a massive amount of input images are…

Computer Vision and Pattern Recognition · Computer Science 2021-08-17 Haoxi Ran , Guangfu Wang , Li Lu

The lack of fa\c{c}ade structures in photogrammetric mesh models renders them inadequate for meeting the demands of intricate applications. Moreover, these mesh models exhibit irregular surfaces with considerable geometric noise and texture…

Computer Vision and Pattern Recognition · Computer Science 2023-06-08 Libin Wang , Han Hu , Qisen Shang , Bo Xu , Qing Zhu

Early detection of lung cancer is crucial for effective treatment and relies on accurate volumetric assessment of pulmonary nodules in CT scans. Traditional methods, such as consolidation-to-tumor ratio (CTR) and spherical approximation,…

Image and Video Processing · Electrical Eng. & Systems 2025-08-29 Yihan Zhou , Haocheng Huang , Yue Yu , Jianhui Shang

Meshes are commonly used as 3D maps since they encode the topology of the scene while being lightweight. Unfortunately, 3D meshes are mathematically difficult to handle directly because of their combinatorial and discrete nature. Therefore,…

Computer Vision and Pattern Recognition · Computer Science 2021-08-09 Antoni Rosinol , Luca Carlone

The automatic classification of 3D medical data is memory-intensive. Also, variations in the number of slices between samples is common. Na\"ive solutions such as subsampling can solve these problems, but at the cost of potentially…

Computer Vision and Pattern Recognition · Computer Science 2023-07-24 Marzieh Oghbaie , Teresa Araujo , Taha Emre , Ursula Schmidt-Erfurth , Hrvoje Bogunovic

We present a generic algorithm for numbering and then efficiently iterating over the data values attached to an extruded mesh. An extruded mesh is formed by replicating an existing mesh, assumed to be unstructured, to form layers of…

We propose a novel method for reconstructing floor plans from noisy 3D point clouds. Our main contribution is a principled approach that relies on the Monte Carlo Tree Search (MCTS) algorithm to maximize a suitable objective function…

Computer Vision and Pattern Recognition · Computer Science 2021-09-14 Sinisa Stekovic , Mahdi Rad , Friedrich Fraundorfer , Vincent Lepetit

Inverting seismic data to build 3D geological structures is a challenging task due to the overwhelming amount of acquired seismic data, and the very-high computational load due to iterative numerical solutions of the wave equation, as…

Geophysics · Physics 2022-08-01 Maayan Gelboim , Amir Adler , Yen Sun , Mauricio Araya-Polo