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Recovering images from undersampled linear measurements typically leads to an ill-posed linear inverse problem, that asks for proper statistical priors. Building effective priors is however challenged by the low train and test overhead…

Artificial Intelligence · Computer Science 2017-11-29 Morteza Mardani , Hatef Monajemi , Vardan Papyan , Shreyas Vasanawala , David Donoho , John Pauly

When considering sparse motion capture marker data, one typically struggles to balance its overfitting via a high dimensional blendshape system versus underfitting caused by smoothness constraints. With the current trend towards using more…

Computer Vision and Pattern Recognition · Computer Science 2019-09-06 Matthew Cong , Lana Lan , Ronald Fedkiw

There remains an important need for the development of image reconstruction methods that can produce diagnostically useful images from undersampled measurements. In magnetic resonance imaging (MRI), for example, such methods can facilitate…

Image and Video Processing · Electrical Eng. & Systems 2021-06-28 Varun A. Kelkar , Sayantan Bhadra , Mark A. Anastasio

In this work, we consider the inverse problem of reconstructing the internal structure of an object from limited x-ray projections. We use a Gaussian process prior to model the target function and estimate its (hyper)parameters from…

Computer Vision and Pattern Recognition · Computer Science 2019-07-04 Zenith Purisha , Carl Jidling , Niklas Wahlström , Simo Särkkä , Thomas B. Schön

Natural signals and images are well-known to be approximately sparse in transform domains such as Wavelets and DCT. This property has been heavily exploited in various applications in image processing and medical imaging. Compressed sensing…

Machine Learning · Computer Science 2015-10-26 Saiprasad Ravishankar , Yoram Bresler

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

Compressed sensing enables sparse sampling but relies on generic bases and random measurements, limiting efficiency and reconstruction quality. Optimal sensor placement uses historcal data to design tailored sampling patterns, yet its…

Machine Learning · Computer Science 2025-12-04 Adil Rasheed , Mikael Aleksander Jansen Shahly , Muhammad Faisal Aftab

Geometric priors are often used to enhance 3D reconstruction. With many smartphones featuring low-resolution depth sensors and the prevalence of off-the-shelf monocular geometry estimators, incorporating geometric priors as regularization…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Xuqian Ren , Matias Turkulainen , Jiepeng Wang , Otto Seiskari , Iaroslav Melekhov , Juho Kannala , Esa Rahtu

Nonlocal image representation has been successfully used in many image-related inverse problems including denoising, deblurring and deblocking. However, a majority of reconstruction methods only exploit the nonlocal self-similarity (NSS)…

Computer Vision and Pattern Recognition · Computer Science 2017-01-04 Zhiyuan Zha , Xinggan Zhang , Qiong Wang , Yechao Bai , Lan Tang

Generalizable neural surface reconstruction has become a compelling technique to reconstruct from few images without per-scene optimization, where dense 3D feature volume has proven effective as a global representation of scenes. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-09 Aoxiang Fan , Corentin Dumery , Nicolas Talabot , Hieu Le , Pascal Fua

Speeding up the data acquisition is one of the central aims to advance tomographic imaging. On the one hand, this reduces motion artifacts due to undesired movements, and on the other hand this decreases the examination time for the…

Numerical Analysis · Mathematics 2015-01-20 Michael Sandbichler , Felix Krahmer , Thomas Berer , Peter Burgholzer , Markus Haltmeier

In multi-view human body capture systems, the recovered 3D geometry or even the acquired imagery data can be heavily corrupted due to occlusions, noise, limited field of- view, etc. Direct estimation of 3D pose, body shape or motion on…

Computer Vision and Pattern Recognition · Computer Science 2018-02-02 Zhong Li , Yu Ji , Wei Yang , Jinwei Ye , Jingyi Yu

Purpose: To investigate whether a vision-language foundation model can enhance undersampled MRI reconstruction by providing high-level contextual information beyond conventional priors. Methods: We proposed a semantic distribution-guided…

Computer Vision and Pattern Recognition · Computer Science 2025-11-26 Ruimin Feng , Xingxin He , Ronald Mercer , Zachary Stewart , Fang Liu

This paper introduces the Gaussian multi-Graphical Model, a model to construct sparse graph representations of matrix- and tensor-variate data. We generalize prior work in this area by simultaneously learning this representation across…

Machine Learning · Statistics 2024-02-28 Bailey Andrew , David Westhead , Luisa Cutillo

Blind face restoration usually relies on facial priors, such as facial geometry prior or reference prior, to restore realistic and faithful details. However, very low-quality inputs cannot offer accurate geometric prior while high-quality…

Computer Vision and Pattern Recognition · Computer Science 2021-06-14 Xintao Wang , Yu Li , Honglun Zhang , Ying Shan

Markov random fields (MRFs) have been widely used as prior models in various inverse problems such as tomographic reconstruction. While MRFs provide a simple and often effective way to model the spatial dependencies in images, they suffer…

Computer Vision and Pattern Recognition · Computer Science 2016-06-17 Ruoqiao Zhang , Dong Hye Ye , Debashish Pal , Jean-Baptiste Thibault , Ken D. Sauer , Charles A. Bouman

Tomographic imaging is in general an ill-posed inverse problem. Typically, a single regularized image estimate of the sought-after object is obtained from tomographic measurements. However, there may be multiple objects that are all…

Image and Video Processing · Electrical Eng. & Systems 2022-07-28 Sayantan Bhadra , Umberto Villa , Mark A. Anastasio

Tomographic image sizes keep increasing over time and while the GPUs that compute the tomographic reconstruction are also increasing in memory size, they are not doing so fast enough to reconstruct the largest datasets. This problem is…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-10 Ander Biguri , Reuben Lindroos , Robert Bryll , Hossein Towsyfyan , Hans Deyhle , Richard Boardman , Mark Mavrogordato , Manjit Dosanjh , Steven Hancock , Thomas Blumensath

Dose reduction in computed tomography (CT) is essential for decreasing radiation risk in clinical applications. Iterative reconstruction is one of the most promising ways to compensate for the increased noise due to reduction of photon…

Image and Video Processing · Electrical Eng. & Systems 2021-03-24 Zhuonan He , Yikun Zhang , Yu Guan , Shanzhou Niu , Yi Zhang , Yang Chen , Qiegen Liu

Magnetic resonance imaging has been widely applied in clinical diagnosis, however, is limited by its long data acquisition time. Although imaging can be accelerated by sparse sampling and parallel imaging, achieving promising reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2020-08-26 Tieyuan Lu , Xinlin Zhang , Yihui Huang , Yonggui Yang , Gang Guo , Lijun Bao , Feng Huang , Di Guo , Xiaobo Qu