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Computed tomography (CT) has become an essential part of modern science and medicine. A CT scanner consists of an X-ray source that is spun around an object of interest. On the opposite end of the X-ray source, a detector captures X-rays…

Image and Video Processing · Electrical Eng. & Systems 2023-09-14 Thomas Germer , Jan Robine , Sebastian Konietzny , Stefan Harmeling , Tobias Uelwer

We describe and examine an algorithm for tomographic image reconstruction where prior knowledge about the solution is available in the form of training images. We first construct a nonnegative dictionary based on prototype elements from the…

Computer Vision and Pattern Recognition · Computer Science 2015-08-18 Sara Soltani , Martin S. Andersen , Per Christian Hansen

Multi-energy CT based on compression sensing theory with sparse-view sampling can effectively reduce radiation dose and maintain the quality of the reconstructed image. However,when the projection data are noisy, the reconstructed image can…

Medical Physics · Physics 2019-12-04 Cheng Kai , Jiang Min , Jianqiao Yu , Sun Yi

Computed tomography (CT) is a widely-used imaging technology that assists clinical decision-making with high-quality human body representations. To reduce the radiation dose posed by CT, sparse-view and limited-angle CT are developed with…

Image and Video Processing · Electrical Eng. & Systems 2022-11-04 Ce Wang , Kun Shang , Haimiao Zhang , Shang Zhao , Dong Liang , S. Kevin Zhou

Computed Tomography (CT) is an essential non-destructive three dimensional imaging modality used in medicine, security screening, and inspection of manufactured components. Typical CT data acquisition entails the collection of a thousand or…

Medical Physics · Physics 2024-10-11 Kyle M. Champley , Michael B. Zellner , Joseph W. Tringe , Harry E. Martz

Regularization-based image restoration has remained an active research topic in computer vision and image processing. It often leverages a guidance signal captured in different fields as an additional cue. In this work, we present a general…

Computer Vision and Pattern Recognition · Computer Science 2016-12-21 Youngjung Kim , Hyungjoo Jung , Dongbo Min , Kwanghoon Sohn

Computed tomography (CT) uses X-ray measurements taken from sensors around the body to generate tomographic images of the human body. Conventional reconstruction algorithms can be used if the X-ray data are adequately sampled and of high…

Image and Video Processing · Electrical Eng. & Systems 2021-12-28 Ruiwen Xing , Thomas Humphries , Dong Si

Computed tomography (CT) is widely used in screening, diagnosis, and image-guided therapy for both clinical and research purposes. Since CT involves ionizing radiation, an overarching thrust of related technical research is development of…

Image and Video Processing · Electrical Eng. & Systems 2019-06-25 Chenyu You , Guang Li , Yi Zhang , Xiaoliu Zhang , Hongming Shan , Shenghong Ju , Zhen Zhao , Zhuiyang Zhang , Wenxiang Cong , Michael W. Vannier , Punam K. Saha , Ge Wang

Recent work in CT imaging has seen increased interest in the use of total variation (TV) and related penalties to regularize problems involving reconstruction from undersampled or incomplete data. Superiorization is a recently proposed…

Medical Physics · Physics 2017-10-02 T. Humphries , J. Winn , A. Faridani

The data consistency for the physical forward model is crucial in inverse problems, especially in MR imaging reconstruction. The standard way is to unroll an iterative algorithm into a neural network with a forward model embedded. The…

Image and Video Processing · Electrical Eng. & Systems 2023-06-28 Guanxiong Luo , Mengmeng Kuang , Peng Cao

The development of energy selective, photon counting X-ray detectors allows for a wide range of new possibilities in the area of computed tomographic image formation. Under the assumption of perfect energy resolution, here we propose a…

Computer Vision and Pattern Recognition · Computer Science 2015-06-16 Oguz Semerci , Ning Hao , Misha E. Kilmer , Eric L. Miller

Compressed sensing (CS) computed tomography has been proven to be important for several clinical applications, such as sparse-view computed tomography (CT), digital tomosynthesis and interior tomography. Traditional compressed sensing…

Medical Physics · Physics 2020-12-15 Yi Zhang , Hu Chen , Wenjun Xia , Yang Chen , Baodong Liu , Yan Liu , Huaiqiang Sun , Jiliu Zhou

Reconstructing under-sampled k-space measurements in Compressed Sensing MRI (CS-MRI) is classically solved with regularized least-squares. Recently, deep learning has been used to amortize this optimization by training reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2021-01-07 Alan Q. Wang , Adrian V. Dalca , Mert R. Sabuncu

We propose a supervised machine learning approach for boosting existing signal and image recovery methods and demonstrate its efficacy on example of image reconstruction in computed tomography. Our technique is based on a local nonlinear…

Computer Vision and Pattern Recognition · Computer Science 2013-12-02 Joseph Shtok , Michael Zibulevsky , Michael Elad

Sparse-view Computed Tomography (CT) is an emerging protocol designed to reduce X-ray dose radiation in medical imaging. Traditional Filtered Back Projection algorithm reconstructions suffer from severe artifacts due to sparse data. In…

Numerical Analysis · Mathematics 2024-12-03 Elena Loli Piccolomini , Davide Evangelista , Elena Morotti

English: This paper concerns the image reconstruction from a few projections in Computed Tomography (CT). The main objective of this paper is to show that the problem is so ill posed that no classical method, such as analytical methods…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Ali Mohammad-Djafari

In computed tomography (CT), the forward model consists of a linear Radon transform followed by an exponential nonlinearity based on the attenuation of light according to the Beer-Lambert Law. Conventional reconstruction often involves…

Computer Vision and Pattern Recognition · Computer Science 2026-03-25 Sara Fridovich-Keil , Fabrizio Valdivia , Gordon Wetzstein , Benjamin Recht , Mahdi Soltanolkotabi

Efficiently acquired and precisely reconstructed imaging are crucial to the success of modern radiation therapy (RT). Computed tomography (CT) and magnetic resonance imaging (MRI) are two common modalities for providing RT treatment…

Image and Video Processing · Electrical Eng. & Systems 2025-04-15 Di Xu

In this paper we present a generalized Deep Learning-based approach for solving ill-posed large-scale inverse problems occuring in medical image reconstruction. Recently, Deep Learning methods using iterative neural networks and cascaded…

Image and Video Processing · Electrical Eng. & Systems 2020-08-26 Andreas Kofler , Markus Haltmeier , Tobias Schaeffter , Marc Kachelrieß , Marc Dewey , Christian Wald , Christoph Kolbitsch

Kernelized maximum-likelihood (ML) expectation maximization (EM) methods have recently gained prominence in PET image reconstruction, outperforming many previous state-of-the-art methods. But they are not immune to the problems of…

Image and Video Processing · Electrical Eng. & Systems 2021-03-05 Shiyao Guo , Yuxia Sheng , Shenpeng Li , Li Chai , Jingxin Zhang