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This paper presents a novel method for the reconstruction of high-resolution temporal images in dynamic tomographic imaging, particularly for discrete objects with smooth boundaries that vary over time. Addressing the challenge of limited…

Image and Video Processing · Electrical Eng. & Systems 2023-11-10 Ajinkya Kadu , Felix Lucka , Kees Joost Batenburg

We consider the problem of reconstructing the paths of a set of points over time, where, at each of a finite set of moments in time the current positions of points in space are only accessible through some small number of their X-rays. This…

Data Structures and Algorithms · Computer Science 2018-11-08 Andreas Alpers , Peter Gritzmann

The paper surveys variational approaches for image reconstruction in dynamic inverse problems. Emphasis is on methods that rely on parametrised temporal models. These are here encoded as diffeomorphic deformations with time dependent…

Image and Video Processing · Electrical Eng. & Systems 2020-07-21 Andreas Hauptmann , Ozan Öktem , Carola Schönlieb

One of the solutions of depth imaging of moving scene is to project a static pattern on the object and use just a single image for reconstruction. However, if the motion of the object is too fast with respect to the exposure time of the…

Computer Vision and Pattern Recognition · Computer Science 2017-10-03 Yuki Shiba , Satoshi Ono , Ryo Furukawa , Shinsaku Hiura , Hiroshi Kawasaki

We introduce visual deprojection: the task of recovering an image or video that has been collapsed along a dimension. Projections arise in various contexts, such as long-exposure photography, where a dynamic scene is collapsed in time to…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Guha Balakrishnan , Adrian V. Dalca , Amy Zhao , John V. Guttag , Fredo Durand , William T. Freeman

We consider the imaging problem of the reconstruction of a three-dimensional object via optical diffraction tomography under the assumptions of the Born approximation. Our focus lies in the situation that a rigid object performs an…

Numerical Analysis · Mathematics 2024-07-11 Robert Beinert , Michael Quellmalz

Reconstructing dynamic, time-varying scenes with computed tomography (4D-CT) is a challenging and ill-posed problem common to industrial and medical settings. Existing 4D-CT reconstructions are designed for sparse sampling schemes that…

Image and Video Processing · Electrical Eng. & Systems 2021-04-26 Albert W. Reed , Hyojin Kim , Rushil Anirudh , K. Aditya Mohan , Kyle Champley , Jingu Kang , Suren Jayasuriya

4D time-space reconstruction of dynamic events or deforming objects using X-ray computed tomography (CT) is an important inverse problem in non-destructive evaluation. Conventional back-projection based reconstruction methods assume that…

Image and Video Processing · Electrical Eng. & Systems 2025-02-27 K. Aditya Mohan , Massimiliano Ferrucci , Chuck Divin , Garrett A. Stevenson , Hyojin Kim

Data-driven deep learning has been successfully applied to various computed tomographic reconstruction problems. The deep inference models may outperform existing analytical and iterative algorithms, especially in ill-posed CT…

Machine Learning · Computer Science 2023-07-13 Hyojin Kim , Kyle Champley

X-ray tomography has been studied in various fields. Although a great deal of effort has been directed at reconstructing the projection image set from a rigid-type specimen, little attention has been addressed to the reconstruction of…

Computational Physics · Physics 2018-07-04 Kyungtaek Jun , Dongwook Kim

In computed tomography, the reconstruction is typically obtained on a voxel grid. In this work, however, we propose a mesh-based reconstruction method. For tomographic problems, 3D meshes have mostly been studied to simulate data…

Image and Video Processing · Electrical Eng. & Systems 2021-03-12 Jakeoung Koo , Anders B. Dahl , J. Andreas Bærentzen , Qiongyang Chen , Sara Bals , Vedrana A. Dahl

Computed tomography has propelled scientific advances in fields from biology to materials science. This technology allows for the elucidation of 3-dimensional internal structure by the attenuation of x-rays through an object at different…

Computer Vision and Pattern Recognition · Computer Science 2022-11-02 Rey Mendoza , Minh Nguyen , Judith Weng Zhu , Vincent Dumont , Talita Perciano , Juliane Mueller , Vidya Ganapati

We study inverse problems of reconstructing static and dynamic discrete structures from tomographic data (with a special focus on the `classical' task of reconstructing finite point sets in $\mathbb{R}^d$). The main emphasis is on recent…

Data Structures and Algorithms · Computer Science 2018-11-08 Andreas Alpers , Peter Gritzmann

The need for tomographic reconstruction from sparse measurements arises when the measurement process is potentially harmful, needs to be rapid, or is uneconomical. In such cases, information from previous longitudinal scans of the same…

Image and Video Processing · Electrical Eng. & Systems 2019-09-13 Preeti Gopal , Sharat Chandran , Imants Svalbe , Ajit Rajwade

Limited-angle tomography of strongly scattering quasi-transparent objects is a challenging, highly ill-posed problem with practical implications in medical and biological imaging, manufacturing, automation, and environmental and food…

Image and Video Processing · Electrical Eng. & Systems 2024-08-15 Iksung Kang , Alexandre Goy , George Barbastathis

This paper presents an effective method for generating a spatiotemporal (time-varying) texture map for a dynamic object using a single RGB-D camera. The input of our framework is a 3D template model and an RGB-D image sequence. Since there…

Computer Vision and Pattern Recognition · Computer Science 2021-08-23 Hyomin Kim , Jungeon Kim , Hyeonseo Nam , Jaesik Park , Seungyong Lee

In this article we propose a dynamic approach to complex vector reconstruction in the context of quantum tomography. There are two underlying assumptions behind our reasoning. The first one claims that the evolution of a d-level pure…

Quantum Physics · Physics 2020-07-03 Artur Czerwiński

Differentiable rendering is a technique to connect 3D scenes with corresponding 2D images. Since it is differentiable, processes during image formation can be learned. Previous approaches to differentiable rendering focus on mesh-based…

Computer Vision and Pattern Recognition · Computer Science 2020-03-25 Cong Gao , Xingtong Liu , Wenhao Gu , Benjamin Killeen , Mehran Armand , Russell Taylor , Mathias Unberath

High resolution reconstruction of complicated objects from incomplete and noisy data can be achieved by solving modulation equations iteratively under physical constraints. This direct demodulation method is a powerful technique for dealing…

Astrophysics · Physics 2009-11-10 Ti-Pei Li , Mei Wu

We present a Machine Learning-based method for tomographic reconstruction of dense layered objects, with range of projection angles limited to $\pm $10$^\circ$. Whereas previous approaches to phase tomography generally require two steps,…

Image and Video Processing · Electrical Eng. & Systems 2020-01-08 Alexandre Goy , Girish Rughoobur , Shuai Li , Kwabena Arthur , Akintunde I. Akinwande , George Barbastathis
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