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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

Computed Tomography (CT) is widely used in engineering and medicine for imaging the interior of objects, patients, or animals. If the employed X-ray source is monoenergetic, image reconstruction essentially means the inversion of a ray…

Optimization and Control · Mathematics 2022-06-08 Georgios Papanikos , Benedikt Wirth

Flat-panel cone-beam CT (CBCT) has been applied clinically in a number of high-resolution applications. Increasing geometric magnification can potentially improve resolution, but also increases blur due to an extended x-ray focal-spot. We…

Medical Physics · Physics 2016-10-18 Steven Tilley , Wojciech Zbijewski , Jeffrey H. Siewerdsen , J. Webster Stayman

Here we present new joint reconstruction and regularization techniques inspired by ideas in microlocal analysis and lambda tomography, for the simultaneous reconstruction of the attenuation coefficient and electron density from X-ray…

Image and Video Processing · Electrical Eng. & Systems 2020-08-26 James Webber , Eric Todd Quinto , Eric L. Miller

The problem of reconstructing an object from the measurements of the light it scatters is common in numerous imaging applications. While the most popular formulations of the problem are based on linearizing the object-light relationship,…

Computer Vision and Pattern Recognition · Computer Science 2017-12-15 Yanting Ma , Hassan Mansour , Dehong Liu , Petros T. Boufounos , Ulugbek S. Kamilov

X-ray computed tomography (CT) is widely utilized in the medical, industrial, and other fields to nondestructively generate three-dimensional structural images of objects. However, CT images are often affected by various artifacts, with…

Medical Physics · Physics 2025-05-27 Yang Zou , Meili Qi , Jianhua Zhang , Difei Zhang , Shuwei Wang , Jiale Zhang , Shengkun Yao , Huaidong Jiang

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

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

We consider the problem of recovering a signal from nonlinear transformations, under convex constraints modeling a priori information. Standard feasibility and optimization methods are ill-suited to tackle this problem due to the…

Optimization and Control · Mathematics 2020-06-16 Patrick L. Combettes , Zev. C. Woodstock

For surgical planning and intra-operation imaging, CT reconstruction using X-ray images can potentially be an important alternative when CT imaging is not available or not feasible. In this paper, we aim to use biplanar X-rays to…

Image and Video Processing · Electrical Eng. & Systems 2024-08-20 Zhi Qiao , Hanqiang Ouyang , Dongheng Chu , Huishu Yuan , Xiantong Zhen , Pei Dong , Zhen Qian

We introduce a new CT image reconstruction algorithm that is less affected by various artifacts. The new reconstruction algorithm is a method of minimizing the difference between synchrotron X-ray tomography data and sinograms generated…

Medical Physics · Physics 2021-11-22 Byung Chun Kim , Hyunju Lee , Kyungtaek Jun

This work is concerned with applying iterative image reconstruction, based on constrained total-variation minimization, to low-intensity X-ray CT systems that have a high sampling rate. Such systems pose a challenge for iterative image…

Medical Physics · Physics 2016-11-17 Emil Y. Sidky , Rick Chartrand , Yuval Duchin , Christer Ullberg , Xiaochuan Pan

X-ray computed tomographic infrastructures are medical imaging modalities that rely on the acquisition of rays crossing examined objects while measuring their intensity decrease. Physical measurements are post-processed by mathematical…

Image and Video Processing · Electrical Eng. & Systems 2022-01-25 Attila Juhos

This paper presents a method for improved analysis of objects with an axial symmetry using X-ray Computed Tomography (CT). Cylindrical coordinates about an axis fixed to the object form the most natural base to check certain characteristics…

Image and Video Processing · Electrical Eng. & Systems 2020-10-06 Wannes Goethals , Marjolein Heyndrickx , Matthieu Boone

With the availability of more powerful computing processors, iterative reconstruction algorithms have recently been successfully implemented as an approach to achieving significant dose reduction in X-ray CT. In this report, we describe our…

Medical Physics · Physics 2016-08-23 D. Trinca , Y. Zhong , Y. Wang , T. Mamyrbayev , E. Libin

Electron tomography has been studied in various fields. Various methods have been developed to align projection sets to construct ideally focused reconstruction. In this paper, we present how to align the projection set to distinguish…

Medical Physics · Physics 2017-06-14 Dongwook Kim , Kyungtaek Jun

In tomographic reconstruction, the goal is to reconstruct an unknown object from a collection of line integrals. Given a complete sampling of such line integrals for various angles and directions, explicit inverse formulas exist to…

Numerical Analysis · Mathematics 2018-01-18 Tristan van Leeuwen , Simon Maretzke , K. Joost Batenburg

In this paper, we first propose a variational model for the limited-angle computed tomography (CT) image reconstruction and then convert the model into an end-to-end deep network.We use the penalty method to solve the model and divide it…

Image and Video Processing · Electrical Eng. & Systems 2020-08-11 Wei Wang , Xiang-Gen Xia , Chuanjiang He , Zemin Ren , Jian Lu , Tianfu Wang , Baiying Lei

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

Rectifying the orientation of images represents a daily task for every photographer. This task may be complicated even for the human eye, especially when the horizon or other horizontal and vertical lines in the image are missing. In this…

Computer Vision and Pattern Recognition · Computer Science 2021-05-13 Ionut Mironica , Andrei Zugravu