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We present an imaging technique that allows the recovery of the transparency profile of wavelength-scale objects with deep subwavelength resolution based on far-field intensity measurements. The approach, interscale mixing microscopy (IMM),…

Optics · Physics 2017-03-21 Sandeep Inampudi , Nicholas Kuhta , Viktor A. Podolskiy

We provide a framework for solving inverse problems with diffusion models learned from linearly corrupted data. Firstly, we extend the Ambient Diffusion framework to enable training directly from measurements corrupted in the Fourier…

Computer Vision and Pattern Recognition · Computer Science 2025-04-23 Asad Aali , Giannis Daras , Brett Levac , Sidharth Kumar , Alexandros G. Dimakis , Jonathan I. Tamir

High-resolution fMRI provides a window into the brain's mesoscale organization. Yet, higher spatial resolution increases scan times, to compensate for the low signal and contrast-to-noise ratio. This work introduces a deep learning-based 3D…

Image and Video Processing · Electrical Eng. & Systems 2024-03-20 Hongwei Bran Li , Matthew S. Rosen , Shahin Nasr , Juan Eugenio Iglesias

Diffusion models have recently demonstrated considerable advancement in the generation and reconstruction of magnetic resonance imaging (MRI) data. These models exhibit great potential in handling unsampled data and reducing noise,…

Image and Video Processing · Electrical Eng. & Systems 2024-11-07 Yu Guan , Kunlong Zhang , Qi Qi , Dong Wang , Ziwen Ke , Shaoyu Wang , Dong Liang , Qiegen Liu

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

Positron Emission Tomography and Magnetic Resonance Imaging (PET-MRI) systems can obtain functional and anatomical scans. PET suffers from a low signal-to-noise ratio. Meanwhile, the k-space data acquisition process in MRI is…

Image and Video Processing · Electrical Eng. & Systems 2024-07-12 Taofeng Xie , Zhuo-Xu Cui , Chen Luo , Huayu Wang , Congcong Liu , Yuanzhi Zhang , Xuemei Wang , Yanjie Zhu , Guoqing Chen , Dong Liang , Qiyu Jin , Yihang Zhou , Haifeng Wang

Diffusion MRI (dMRI) is a widely used imaging modality, but requires long scanning times to acquire high resolution datasets. By leveraging the unique geometry present within this domain, we present a novel approach to dMRI angular…

Image and Video Processing · Electrical Eng. & Systems 2023-12-04 Matthew Lyon , Paul Armitage , Mauricio A Álvarez

In the field of quantitative imaging, the image information at a pixel or voxel in an underlying domain entails crucial information about the imaged matter. This is particularly important in medical imaging applications, such as…

Optimization and Control · Mathematics 2024-04-12 Guozhi Dong , Moritz Flaschel , Michael Hintermüller , Kostas Papafitsoros , Clemens Sirotenko , Karsten Tabelow

Magnetic Resonance Imaging (MRI) acquisitions require extensive scan times, limiting patient throughput and increasing susceptibility to motion artifacts. Accelerated parallel MRI techniques reduce acquisition time by undersampling k-space…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Mingi Kang

Image restoration aims to recover high-quality images from degraded observations. When the degradation process is known, the recovery problem can be formulated as an inverse problem, and in a Bayesian context, the goal is to sample a clean…

Image and Video Processing · Electrical Eng. & Systems 2025-10-13 Darshan Thaker , Abhishek Goyal , René Vidal

Cross-term spatiotemporal encoding (xSPEN) is a recently introduced imaging approach delivering single-scan 2D NMR images with unprecedented resilience to field inhomogeneities. The method relies on performing a pre-acquisition encoding and…

Medical Physics · Physics 2017-08-25 Eddy Solomon , Gilad Liberman , Zhiyong Zhang , Lucio Frydman

High-resolution medical images are beneficial for analysis but their acquisition may not always be feasible. Alternatively, high-resolution images can be created from low-resolution acquisitions using conventional upsampling methods, but…

Image and Video Processing · Electrical Eng. & Systems 2022-03-01 Jörg Sander , Bob D. de Vos , Ivana Išgum

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

By embedding discrete representations into a continuous latent space, we can leverage continuous-space latent diffusion models to handle generative modeling of discrete data. However, despite their initial success, most latent diffusion…

Machine Learning · Computer Science 2025-04-02 Bac Nguyen , Chieh-Hsin Lai , Yuhta Takida , Naoki Murata , Toshimitsu Uesaka , Stefano Ermon , Yuki Mitsufuji

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

Magnetic Resonance Fingerprinting (MRF) enables the simultaneous quantification of multiple properties of biological tissues. It relies on a pseudo-random acquisition and the matching of acquired signal evolutions to a precomputed…

Despite significant progress in generative modelling, existing diffusion models often struggle to produce anatomically precise female pelvic images, limiting their application in gynaecological imaging, where data scarcity and patient…

Image and Video Processing · Electrical Eng. & Systems 2025-08-26 Johanna P. Müller , Anika Knupfer , Pedro Blöss , Edoardo Berardi Vittur , Bernhard Kainz , Jana Hutter

Magnetic resonance imaging (MRI) is a vital diagnostic tool, but its inherently long acquisition times reduce clinical efficiency and patient comfort. Recent advancements in deep learning, particularly diffusion models, have improved…

Image and Video Processing · Electrical Eng. & Systems 2026-04-28 Yuxuan Zhang , Jinkui Hao , Bo Zhou

Compressed sensing MRI seeks to accelerate MRI acquisition processes by sampling fewer k-space measurements and then reconstructing the missing data algorithmically. The success of these approaches often relies on strong priors or learned…

Computer Vision and Pattern Recognition · Computer Science 2025-01-10 Hyungjin Chung , Dohun Lee , Zihui Wu , Byung-Hoon Kim , Katherine L. Bouman , Jong Chul Ye

In Magnetic Resonance Imaging (MRI) data samples are collected in the spatial frequency domain (k-space), typically by time-consuming line-by-line scanning on a Cartesian grid. Scans can be accelerated by simultaneous acquisition of data…

Medical Physics · Physics 2015-03-24 Vivek Athalye , Michael Lustig , Martin Uecker
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