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We study the problem of regularization of inverse problems adopting a purely data driven approach, by using the similarity to the method of regularization by projection. We provide an application of a projection algorithm, utilized and…

Numerical Analysis · Mathematics 2021-03-11 Andrea Aspri , Leon Frischauf , Yury Korolev , Otmar Scherzer

Computed Tomography (CT) reconstruction is a fundamental component to a wide variety of applications ranging from security, to healthcare. The classical techniques require measuring projections, called sinograms, from a full 180$^\circ$…

Computer Vision and Pattern Recognition · Computer Science 2018-07-12 Rushil Anirudh , Hyojin Kim , Jayaraman J. Thiagarajan , K. Aditya Mohan , Kyle Champley , Timo Bremer

This paper propose a interactive 3D modeling method and corresponding system based on single or multiple uncalibrated images. The main feature of this method is that, according to the modeling habits of ordinary people, the 3D model of the…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Zhi He , Rui Wang , Wei Hua , Yuchi Huo

In tomographic reconstruction, the goal is to reconstruct an unknown object from a collection of line integrals. Given a complete sampling of such line integrals for various angles and directions, explicit inverse formulas exist to…

Numerical Analysis · Mathematics 2018-01-18 Tristan van Leeuwen , Simon Maretzke , K. Joost Batenburg

We propose a method for 3D object reconstruction and 6D-pose estimation from 2D images that uses knowledge about object shape as the primary key. In the proposed pipeline, recognition and labeling of objects in 2D images deliver 2D segment…

Computer Vision and Pattern Recognition · Computer Science 2022-03-03 Marcell Wolnitza , Osman Kaya , Tomas Kulvicius , Florentin Wörgötter , Babette Dellen

The reconstruction of images from their corresponding noisy Radon transform is a typical example of an ill-posed linear inverse problem as arising in the application of computerized tomography (CT). As the (naive) solution does not depend…

Regularization methods are commonly used in X-ray CT image reconstruction. Different regularization methods reflect the characterization of different prior knowledge of images. In a recent work, a new regularization method called a…

Medical Physics · Physics 2017-04-18 Wenxiang Cong , Ge Wang , Qingsong Yang , Jiang Hsieh , Jia Li , Rongjie Lai

Aiming at inferring 3D shapes from 2D images, 3D shape reconstruction has drawn huge attention from researchers in computer vision and deep learning communities. However, it is not practical to assume that 2D input images and their…

Computer Vision and Pattern Recognition · Computer Science 2018-11-30 Yi-Lun Liao , Yao-Cheng Yang , Yu-Chiang Frank Wang

This work is concerned with fan- and cone-beam computed tomography with circular source trajectory, where the reconstruction inverse problem requires an accurate knowledge of source, detector and rotational axis relative positions and…

Numerical Analysis · Mathematics 2024-05-09 Patricio Guerrero , Simon Bellens , Ricardo Santander , Wim Dewulf

Image reconstruction in X ray tomography consists in determining an object from its projections. In many applications such as non destructive testing, we look for an image who has a constant value inside a region (default) and another…

Data Analysis, Statistics and Probability · Physics 2007-05-23 A. Mohammad-Djafari

X-ray computed tomography (CT) reconstructs the internal morphology of a three dimensional object from a collection of projection images, most commonly using a single rotation axis. However, for objects containing dense materials like…

Image and Video Processing · Electrical Eng. & Systems 2024-06-27 Diyu Yang , Craig A. J. Kemp , Soumendu Majee , Gregery T. Buzzard , Charles A. Bouman

Radiography is widely used in orthopedics for its affordability and low radiation exposure. 3D reconstruction from a single radiograph, so-called 2D-3D reconstruction, offers the possibility of various clinical applications, but achieving…

Image and Video Processing · Electrical Eng. & Systems 2024-09-26 Yi Gu , Yoshito Otake , Keisuke Uemura , Masaki Takao , Mazen Soufi , Seiji Okada , Nobuhiko Sugano , Hugues Talbot , Yoshinobu Sato

We propose a method to detect and reconstruct multiple 3D objects from a single RGB image. The key idea is to optimize for detection, alignment and shape jointly over all objects in the RGB image, while focusing on realistic and physically…

Computer Vision and Pattern Recognition · Computer Science 2021-06-23 Francis Engelmann , Konstantinos Rematas , Bastian Leibe , Vittorio Ferrari

We present a method to learn single-view reconstruction of the 3D shape, pose, and texture of objects from categorized natural images in a self-supervised manner. Since this is a severely ill-posed problem, carefully designing a training…

Computer Vision and Pattern Recognition · Computer Science 2019-11-21 Hiroharu Kato , Tatsuya Harada

This paper presents a method for improved analysis of objects with an axial symmetry using X-ray Computed Tomography (CT). Cylindrical coordinates about an axis fixed to the object form the most natural base to check certain characteristics…

Image and Video Processing · Electrical Eng. & Systems 2020-10-06 Wannes Goethals , Marjolein Heyndrickx , Matthieu Boone

Automated three-dimensional (3D) object reconstruction is the task of building a geometric representation of a physical object by means of sensing its surface. Even though new single view reconstruction techniques can predict the surface,…

Computer Vision and Pattern Recognition · Computer Science 2021-01-27 J. Irving Vasquez-Gomez , David Troncoso , Israel Becerra , Enrique Sucar , Rafael Murrieta-Cid

Modern tomography involves gathering projection data from multiple directions and feeding them into a software algorithm for tomographic reconstruction. We focus our study on image reconstruction from Radon data in the setting of…

Numerical Analysis · Mathematics 2014-12-19 Maria Angela Narduzzo

Computed Tomography (CT) is a technology that reconstructs cross-sectional images using X-ray images taken from multiple directions. In CT, hundreds of X-ray images acquired as the X-ray source and detector rotate around a central axis, are…

Image and Video Processing · Electrical Eng. & Systems 2024-12-05 Shin Kim

Reconstruction of a 3D shape from a single 2D image is a classical computer vision problem, whose difficulty stems from the inherent ambiguity of recovering occluded or only partially observed surfaces. Recent methods address this challenge…

Computer Vision and Pattern Recognition · Computer Science 2020-02-04 Yuan Yao , Nico Schertler , Enrique Rosales , Helge Rhodin , Leonid Sigal , Alla Sheffer

3D face reconstruction from a single image is a classical and challenging problem, with wide applications in many areas. Inspired by recent works in face animation from RGB-D or monocular video inputs, we develop a novel method for…

Computer Vision and Pattern Recognition · Computer Science 2018-08-01 Luo Jiang , Juyong Zhang , Bailin Deng , Hao Li , Ligang Liu