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We investigate the regularizing behavior of an iterative Krylov subspace method for the solution of linear inverse problems in precisions lower than double. Recent works have considered the projection of iterated Tikhonov methods using…

Numerical Analysis · Mathematics 2025-12-02 Chelsea Drum , James. G. Nagy , Lucas Onisk

Computational Colour Constancy (CCC) consists of estimating the colour of one or more illuminants in a scene and using them to remove unwanted chromatic distortions. Much research has focused on illuminant estimation for CCC on single…

Computer Vision and Pattern Recognition · Computer Science 2023-03-03 Matteo Rizzo , Cristina Conati , Daesik Jang , Hui Hu

The Krylov subspace projection approach is a well-established tool for the reduced order modeling of dynamical systems in the time domain. In this paper, we address the main issues obstructing the application of this powerful approach to…

Mathematical Physics · Physics 2012-04-16 Vladimir Druskin , Rob Remis

Confocal laser-scanning microscopy (CLSM) is one of the most popular optical architectures for fluorescence imaging. In CLSM, a focused laser beam excites the fluorescence emission from a specific specimen position. Some actuators scan the…

Image and Video Processing · Electrical Eng. & Systems 2023-05-10 Alessandro Zunino , Marco Castello , Giuseppe Vicidomini

Metal artifacts in computed tomography (CT) arise from a mismatch between physics of image formation and idealized assumptions during tomographic reconstruction. These artifacts are particularly strong around metal implants, inhibiting…

Image and Video Processing · Electrical Eng. & Systems 2019-09-20 Jan-Nico Zaech , Cong Gao , Bastian Bier , Russell Taylor , Andreas Maier , Nassir Navab , Mathias Unberath

Clinically useful proton Computed Tomography images will rely on algorithms to find the three-dimensional proton stopping power distribution that optimally fits the measured proton data. We present a least squares iterative method with many…

Medical Physics · Physics 2021-05-12 Don F. DeJongh , Ethan A. DeJongh

Iterative reconstruction technique's ability to reduce radiation exposure by using fewer projections has attracted significant attention. However, these methods typically require a precise tuning of several hyperparameters, which can have a…

We present an adaptive imaging technique that optically computes a low-rank approximation of a scene's hyperspectral image, conceptualized as a matrix. Central to the proposed technique is the optical implementation of two measurement…

Image and Video Processing · Electrical Eng. & Systems 2021-01-01 Vishwanath Saragadam , Aswin C. Sankaranarayanan

Semantic segmentation is a crucial task in medical image processing, essential for segmenting organs or lesions such as tumors. In this study we aim to improve automated segmentation in CBCTs through multi-task learning. To evaluate effects…

Image and Video Processing · Electrical Eng. & Systems 2024-12-03 Maximilian Ernst Tschuchnig , Julia Coste-Marin , Philipp Steininger , Michael Gadermayr

This paper introduces new solvers for the computation of low-rank approximate solutions to large-scale linear problems, with a particular focus on the regularization of linear inverse problems. Although Krylov methods incorporating explicit…

Numerical Analysis · Mathematics 2019-11-05 Silvia Gazzola , Chang Meng , James Nagy

Background: Cone-beam computed tomography (CBCT) scans, performed fractionally (e.g., daily or weekly), are widely utilized for patient alignment in the image-guided radiotherapy (IGRT) process, thereby making it a potential imaging…

Iterative solvers for large-scale linear systems such as Krylov subspace methods can diverge when the linear system is ill-conditioned, thus significantly reducing the applicability of these iterative methods in practice for…

Numerical Analysis · Mathematics 2025-07-24 Vasileios Kalantzis , Mark S. Squillante , Chai Wah Wu

Cone-Beam Computed Tomography (CBCT) is an indispensable technique in medical imaging, yet the associated radiation exposure raises concerns in clinical practice. To mitigate these risks, sparse-view reconstruction has emerged as an…

Image and Video Processing · Electrical Eng. & Systems 2024-07-09 Yiqun Lin , Hualiang Wang , Jixiang Chen , Xiaomeng Li

Spectral Photon-Counting Computed Tomography (SPCCT) is a promising technology that has shown a number of advantages over conventional X-ray Computed Tomography (CT) in the form of material separation, artefact removal and enhanced image…

Image and Video Processing · Electrical Eng. & Systems 2020-03-10 Dimitris Kamilis , Mario Blatter , Nick Polydorides

In this work we introduce a new method that combines Parallel MRI and Compressed Sensing (CS) for accelerated image reconstruction from subsampled k-space data. The method first computes a convolved image, which gives the convolution…

Medical Physics · Physics 2021-09-20 Efrat Shimron , Andrew G. Webb , Haim Azhari

Tangential computed tomography (TCT) is a useful tool for imaging the large-diameter samples, such as oil pipelines and rockets. However, TCT projections are truncated along the detector direction, resulting in degraded slices with radial…

Image and Video Processing · Electrical Eng. & Systems 2025-05-12 Bingan Yuan , Bowei Liu , Zheng Fang

Cone Beam CT (CBCT) is an important imaging modality nowadays, however lower image quality of CBCT compared to more conventional Computed Tomography (CT) remains a limiting factor in CBCT applications. Deep learning reconstruction methods…

Parallel implementations of Krylov subspace methods often help to accelerate the procedure of finding an approximate solution of a linear system. However, such parallelization coupled with asynchronous and out-of-order execution often…

Mathematical Software · Computer Science 2023-02-09 Roman Iakymchuk , Jose I. Aliaga

We propose a fast algorithm for computing the entire ridge regression regularization path in nearly linear time. Our method constructs a basis on which the solution of ridge regression can be computed instantly for any value of the…

Optimization and Control · Mathematics 2022-10-25 Yifei Wang , Mert Pilanci

Cone Beam Computed Tomography (CBCT) plays a vital role in clinical imaging. Traditional methods typically require hundreds of 2D X-ray projections to reconstruct a high-quality 3D CBCT image, leading to considerable radiation exposure.…

Image and Video Processing · Electrical Eng. & Systems 2024-10-08 Zhentao Liu , Yu Fang , Changjian Li , Han Wu , Yuan Liu , Dinggang Shen , Zhiming Cui