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Reconstructing high-quality magnetic resonance images (MRI) from undersampled raw data is of great interest from both technical and clinical point of views. To this date, however, it is still a mathematically and computationally challenging…

Numerical Analysis · Mathematics 2021-09-01 T. Schmoderer , A. I Aviles-Rivero , V. Corona , N. Debroux , C-B. Schönlieb

Dynamic magnetic resonance imaging (dMRI) captures temporally-resolved anatomy but is often challenged by limited sampling and motion-induced artifacts. Conventional motion-compensated reconstructions typically rely on pre-estimated optical…

Computer Vision and Pattern Recognition · Computer Science 2025-11-24 Baoqing Li , Yuanyuan Liu , Congcong Liu , Qingyong Zhu , Jing Cheng , Yihang Zhou , Hao Chen , Zhuo-Xu Cui , Dong Liang

In this paper we study the reconstruction of moving object densities from undersampled dynamic X-ray tomography in two dimensions. A particular motivation of this study is to use realistic measurement protocols for practical applications,…

Numerical Analysis · Mathematics 2018-03-28 Martin Burger , Hendrik Dirks , Lena Frerking , Andreas Hauptmann , Tapio Helin , Samuli Siltanen

Novel Magnetic Resonance (MR) imaging modalities can quantify hemodynamics but require long acquisition times, precluding its widespread use for early diagnosis of cardiovascular disease. To reduce the acquisition times, reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2022-01-12 Lauren Partin , Daniele E. Schiavazzi , Carlos A. Sing Long

Real-time magnetic resonance imaging (MRI) methods generally shorten the measuring time by acquiring less data than needed according to the sampling theorem. In order to obtain a proper image from such undersampled data, the reconstruction…

Numerical Analysis · Mathematics 2013-12-05 Housen Li , Markus Haltmeier , Shuo Zhang , Jens Frahm , Axel Munk

This paper proposes a novel framework to reconstruct the dynamic magnetic resonance images (DMRI) with motion compensation (MC). Due to the inherent motion effects during DMRI acquisition, reconstruction of DMRI using motion…

Computer Vision and Pattern Recognition · Computer Science 2019-02-15 Ningning Zhao , Daniel O'Connor , Adrian Basarab , Dan Ruan , Peng Hu , Ke Sheng

We address the problem of reconstructing high quality images from undersampled MRI data. This is a challenging task due to the highly ill-posed nature of the problem. In particular, in dynamic MRI scans, the interaction between the target…

Computer Vision and Pattern Recognition · Computer Science 2020-04-10 Angelica I. Aviles-Rivero , Noémie Debroux , Guy Williams , Martin J. Graves , Carola-Bibiane Schonlieb

Accurate three-dimensional (3D) reconstruction of cardiac chamber motion from time-resolved medical imaging modalities is of growing interest in both the clinical and biomechanical fields. Despite recent advancement, the cardiac motion…

Medical Physics · Physics 2025-04-18 Francesco Capuano , Yue-Hin Loke , Ibrahim Yildiran , Laura Olivieri , Elias Balaras

The accuracy of learning-based optical flow estimation models heavily relies on the realism of the training datasets. Current approaches for generating such datasets either employ synthetic data or generate images with limited realism.…

Computer Vision and Pattern Recognition · Computer Science 2023-09-14 Yingping Liang , Jiaming Liu , Debing Zhang , Ying Fu

Magnetic Resonance Imaging (MRI) is a critical tool in modern medical diagnostics, yet its prolonged acquisition time remains a critical limitation, especially in time-sensitive clinical scenarios. While undersampling strategies can…

Image and Video Processing · Electrical Eng. & Systems 2025-10-09 Mohammed Alsubaie , Wenxi Liu , Linxia Gu , Ovidiu C. Andronesi , Sirani M. Perera , Xianqi Li

4D Flow MRI is the state of the art technique for measuring blood flow, and it provides valuable information for inverse problems in the cardiovascular system. However, 4D Flow MRI has a very long acquisition time, straining healthcare…

Numerical Analysis · Mathematics 2025-12-09 Miriam Löcke , Pim van Ooij , Cristóbal Bertoglio

Computed Tomography is a powerful imaging technique that allows non-destructive visualization of the interior of physical objects in different scientific areas. In traditional reconstruction techniques the object of interest is mostly…

Image and Video Processing · Electrical Eng. & Systems 2019-05-03 Koen Ruymbeek , Wim Vanroose

Optical flow is a classical task that is important to the vision community. Classical optical flow estimation uses two frames as input, whilst some recent methods consider multiple frames to explicitly model long-range information. The…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Qiaole Dong , Yanwei Fu

Phase-contrast magnetic resonance imaging (MRI) provides time-resolved quantification of blood flow dynamics that can aid clinical diagnosis. Long in vivo scan times due to repeated three-dimensional (3D) volume sampling over cardiac phases…

Image and Video Processing · Electrical Eng. & Systems 2020-04-22 Valery Vishnevskiy , Jonas Walheim , Sebastian Kozerke

In this paper, we investigate image reconstruction for dynamic Computed Tomography. The motion of the target with respect to the measurement acquisition rate leads to highly resolved in time but highly undersampled in space measurements.…

Image and Video Processing · Electrical Eng. & Systems 2025-06-27 Pablo Arratia , Matthias Ehrhardt , Lisa Kreusser

Accelerating the acquisition of magnetic resonance imaging (MRI) is a challenging problem, and many works have been proposed to reconstruct images from undersampled k-space data. However, if the main purpose is to extract certain…

Image and Video Processing · Electrical Eng. & Systems 2019-08-22 Chen Qin , Wenjia Bai , Jo Schlemper , Steffen E. Petersen , Stefan K. Piechnik , Stefan Neubauer , Daniel Rueckert

In the process of parametric optical image amplification, images are formed at new frequencies in addition to the amplified original image. We show that the parametric multiplexing of optical images can be used to produce an image with…

Quantum Physics · Physics 2019-03-27 D. A. Balakin , A. S. Chirkin

Optical images of transparent three-dimensional objects can be different from a replica of the object's cross section in the image plane due to refraction at the surface or in the body of the object. Simulations of the object's image are…

Three-dimensional (3D) biomedical image sets are often acquired with in-plane pixel spacings that are far less than the out-of-plane spacings between images. The resultant anisotropy, which can be detrimental in many applications, can be…

Computer Vision and Pattern Recognition · Computer Science 2018-12-24 Berkay Kanberoglu , Dhritiman Das , Priya Nair , Pavan Turaga , David Frakes

To accelerate MRI, the field of compressed sensing is traditionally concerned with optimizing the image quality after a partial undersampling of the measurable $\textit{k}$-space. In our work, we propose to change the focus from the quality…

Image and Video Processing · Electrical Eng. & Systems 2022-11-15 Artem Razumov , Oleg Y. Rogov , Dmitry V. Dylov
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