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This study compares two statistical approaches to image reconstruction in single-photon emission computed tomography (SPECT). We evaluated the widely used Ordered Subset Expectation Maximization (OSEM) algorithm and the newer Maximum a…

Numerical Analysis · Mathematics 2025-12-22 A. V. Nesterova , N. V. Denisova

The goal of MRI reconstruction is to restore a high fidelity image from partially observed measurements. This partial view naturally induces reconstruction uncertainty that can only be reduced by acquiring additional measurements. In this…

Computer Vision and Pattern Recognition · Computer Science 2019-02-11 Zizhao Zhang , Adriana Romero , Matthew J. Muckley , Pascal Vincent , Lin Yang , Michal Drozdzal

Conventional methods for computing maximum-likelihood estimators (MLE) often converge slowly in practical situations, leading to a search for simplifying methods that rely on additional assumptions for their validity. In this work, we…

Quantum Physics · Physics 2017-06-28 Jiangwei Shang , Zhengyun Zhang , Hui Khoon Ng

The iterative refinement method (IRM) has been very successfully applied in many different fields for examples the modern quantum chemical calculation and CT image reconstruction. It is proved that the refinement method can create an exact…

Medical Physics · Physics 2015-12-23 Kang Yang , Kevin Yang , Xintie Yang , Shuang-Ren Zhao

High resolution images can be acquired using a non-regular sampling sensor which consists of an underlying low resolution sensor that is covered with a non-regular sampling mask. The reconstructed high resolution image is then obtained…

Image and Video Processing · Electrical Eng. & Systems 2022-04-08 Markus Jonscher , Karina Jaskolka , Jürgen Seiler , André Kaup

An efficient computational approach for optimal reconstruction of binary-type images suitable for models in various applications including biomedical imaging is developed and validated. The methodology includes derivative-free optimization…

Optimization and Control · Mathematics 2022-09-27 Paul R. Arbic , Vladislav Bukshtynov

An emerging area of research aims to learn deep generative models with limited training data. Prior generative models like GANs and diffusion models require a lot of data to perform well, and their performance degrades when they are trained…

Computer Vision and Pattern Recognition · Computer Science 2024-09-27 Chirag Vashist , Shichong Peng , Ke Li

We introduce a framework for recovering an image from its rotationally and translationally invariant features based on autocorrelation analysis. This work is an instance of the multi-target detection statistical model, which is mainly used…

Image and Video Processing · Electrical Eng. & Systems 2022-03-03 Nicholas F. Marshall , Ti-Yen Lan , Tamir Bendory , Amit Singer

Structured illumination microscopy (SIM) uses a set of images captured with different illumination patterns to computationally reconstruct resolution beyond the diffraction limit. Here, we propose an alternative approach using a single…

Optics · Physics 2025-06-17 Ruiming Cao , Guanghan Meng , Laura Waller

Single-image super-resolution (SISR) is a canonical problem with diverse applications. Leading methods like SRGAN produce images that contain various artifacts, such as high-frequency noise, hallucinated colours and shape distortions, which…

Machine Learning · Computer Science 2018-10-03 Ke Li , Shichong Peng , Jitendra Malik

Purpose: Many useful image quality metrics for evaluating linear image reconstruction techniques do not apply to or are difficult to interpret for non-linear image reconstruction. The vast majority of metrics employed for evaluating…

We focus on a multidimensional field with uncorrelated spectrum, and study the quality of the reconstructed signal when the field samples are irregularly spaced and affected by independent and identically distributed noise. More…

Information Theory · Computer Science 2009-11-13 A. Nordio , C-F. Chiasserini , E. Viterbo

Electrical Impedance Tomography (EIT) systems are becoming popular because they present several advantages over competing systems. However, EIT leads to images with very low resolution. Moreover, the nonuniform sampling characteristic of…

Computer Vision and Pattern Recognition · Computer Science 2019-05-01 Ricardo A. Borsoi , Julio C. C. Aya , Guilherme H. Costa , José C. M. Bermudez

CT imaging works by reconstructing an object of interest from a collection of projections. Traditional methods such as filtered-back projection (FBP) work on projection images acquired around a fixed rotation axis. However, for some CT…

Image and Video Processing · Electrical Eng. & Systems 2022-09-19 Diyu Yang , Craig A. J. Kemp , Gregery T. Buzzard , Charles A. Bouman

Using recent advances in generative artificial intelligence (AI) brought by diffusion models, this paper introduces a new synergistic method for spectral computed tomography (CT) reconstruction. Diffusion models define a neural network to…

Incomplete multi-view clustering presents significant challenges due to missing views. Although many existing graph-based methods aim to recover missing instances or complete similarity matrices with promising results, they still face…

Machine Learning · Computer Science 2025-01-22 Xinxin Wang , Yongshan Zhang , Yicong Zhou

To develop an efficient motion-compensated reconstruction technique for free-breathing cardiac magnetic resonance imaging (MRI) that allows high-quality images to be reconstructed from multiple undersampled single-shot acquisitions. The…

Computer Vision and Pattern Recognition · Computer Science 2016-11-16 Aurelien Bustin , Anne Menini , Martin A. Janich , Darius Burschka , Jacques Felblinger , Anja C. S. Brau , Freddy Odille

In this paper, we provide a precise mathematical model of crystal-to-crystal response which is used to generate the white image - a necessary compensation model needed to overcome the physical limitations of the PET scanner. We present a…

Signal Processing · Electrical Eng. & Systems 2026-02-18 Tomislav Matulić , Damir Seršić

In the Reverse Engineering and Hardware Assurance domain, a majority of the data acquisition is done through electron microscopy techniques such as Scanning Electron Microscopy (SEM). However, unlike its counterparts in optical imaging,…

Image and Video Processing · Electrical Eng. & Systems 2020-04-30 Ronald Wilson , Navid Asadizanjani , Domenic Forte , Damon L. Woodard

We examine the problem of selecting a small set of linear measurements for reconstructing high-dimensional signals. Well-established methods for optimizing such measurements include principal component analysis (PCA), independent component…

Computer Vision and Pattern Recognition · Computer Science 2025-08-06 Ling-Qi Zhang , Zahra Kadkhodaie , Eero P. Simoncelli , David H. Brainard