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Cone beam computed tomography (CBCT) is an emerging medical imaging technique to visualize the internal anatomical structures of patients. During a CBCT scan, several projection images of different angles or views are collectively utilized…

Image and Video Processing · Electrical Eng. & Systems 2024-01-18 Heejun Shin , Taehee Kim , Jongho Lee , Se Young Chun , Seungryung Cho , Dongmyung Shin

For conventional computed tomography (CT) image reconstruction tasks, the most popular method is the so-called filtered-back-projection (FBP) algorithm. In it, the acquired Radon projections are usually filtered first by a ramp kernel…

Medical Physics · Physics 2018-07-06 Yongshuai Ge , Qiyang Zhang , Zhanli Hu , Jianwei Chen , Wei Shi , Hairong Zheng , Dong Liang

A two-dimensional tomographic problem is studied. The target is assumed to be a homogeneous object bounded by a smooth curve. A Non Uniform Rational Basis Splines (NURBS) curve is used as computational representation of the boundary. This…

Numerical Analysis · Mathematics 2017-08-08 Heikki Haario , Aki Kallonen , Marko Laine , Esa Niemi , Zenith Purisha , Samuli Siltanen

Classical total variation (TV) based iterative reconstruction algorithms assume that the signal is piecewise smooth, which causes reconstruction results to suffer from the over-smoothing effect. To address this problem, this work presents a…

Medical Physics · Physics 2018-03-06 Peng Bao , Jiliu Zhou , Yi Zhang

We present a method for selecting valuable projections in computed tomography (CT) scans to enhance image reconstruction and diagnosis. The approach integrates two important factors, projection-based detectability and data completeness,…

Computer Vision and Pattern Recognition · Computer Science 2023-03-22 Linda-Sophie Schneider , Mareike Thies , Christopher Syben , Richard Schielein , Mathias Unberath , Andreas Maier

In application of tomography imaging, limited-angle problem is a quite practical and important issue. In this paper, an iterative reprojection-reconstruction (IRR) algorithm using a modified Papoulis-Gerchberg (PG) iterative scheme is…

Computer Vision and Pattern Recognition · Computer Science 2019-05-01 Yuli Sun , Jinxu Tao , Conggui Liu

In clinical CT, the x-ray source emits polychromatic x-rays, which are detected in the current-integrating mode. This physical process is accurately described by an energy-dependent non-linear integral model on the basis of the Beer-Lambert…

Medical Physics · Physics 2018-01-11 Wenxiang Cong , Ge Wang

The localized radial symmetric function, or blob, is an ideal alternative to the pixel basis for X-ray computed tomography (CT) image reconstruction. In this paper we develop image representation models using blob, and propose…

Numerical Analysis · Computer Science 2011-08-02 Han Wang , Laurent Desbat , Samuel Legoupil

3D reconstruction from 2D inputs, especially for non-rigid objects like humans, presents unique challenges due to the significant range of possible deformations. Traditional methods often struggle with non-rigid shapes, which require…

Computer Vision and Pattern Recognition · Computer Science 2025-05-26 Fahd Alhamazani , Yu-Kun Lai , Paul L. Rosin

CT scans are the standard-of-care for many clinical ailments, and are needed for treatments like external beam radiotherapy. Unfortunately, CT scanners are rare in low and mid-resource settings due to their costs. Planar X-ray radiography…

Image and Video Processing · Electrical Eng. & Systems 2023-08-07 Yiran Sun , Tucker Netherton , Laurence Court , Ashok Veeraraghavan , Guha Balakrishnan

Image reconstruction in Multispectral Computed Tomography (MSCT) requires solving a challenging nonlinear inverse problem, commonly tackled via iterative optimization algorithms. Existing methods necessitate computing the derivative of the…

Numerical Analysis · Mathematics 2024-02-20 Thomas Prohaszka , Lukas Neumann , Markus Haltmeier

Single photon emission computed tomography (SPECT) is a well established clinical tool for functional imaging. A limitation of current SPECT systems is the use of mechanical collimation, where only a small fraction of the emitted photons is…

Numerical Analysis · Mathematics 2016-07-05 Sunghwan Moon , Markus Haltmeier

In clinical CT system, the x-ray tube emits polychromatic x-rays, and the x-ray detectors operate in the current-integrating mode. This physical process is accurately described by an energy-dependent non-linear integral equation. However,…

Medical Physics · Physics 2020-06-23 Wenxiang Cong , Bruno De Man , Ge Wang

Sparse-view computed tomography (CT) enables fast and low-dose CT imaging, an essential feature for patient-save medical imaging and rapid non-destructive testing. In sparse-view CT, only a few projection views are acquired, causing…

Image and Video Processing · Electrical Eng. & Systems 2024-02-28 Nadja Gruber , Johannes Schwab , Elke Gizewski , Markus Haltmeier

In x-ray computed tomography (CT) it is generally acknowledged that reconstruction methods exploiting image sparsity allow reconstruction from a significantly reduced number of projections. The use of such reconstruction methods is…

Numerical Analysis · Mathematics 2014-08-05 Jakob S. Jørgensen , Emil Y. Sidky , Per Christian Hansen , Xiaochuan Pan

Computed Tomography is a powerful imaging technique that allows non-destructive visualization of the interior of physical objects in different scientific areas. In traditional reconstruction techniques the object of interest is mostly…

Image and Video Processing · Electrical Eng. & Systems 2019-05-03 Koen Ruymbeek , Wim Vanroose

Objective: This work examines the claim made in the literature that the inverse problem associated with image reconstruction in sparse-view computed tomography (CT) can be solved with a convolutional neural network (CNN). Methods: Training…

Medical Physics · Physics 2020-05-22 Emil Y. Sidky , Iris Lorente , Jovan G. Brankov , Xiaochuan Pan

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

Purpose: We develop an iterative image-reconstruction algorithm for application to low-intensity computed tomography (CT) projection data, which is based on constrained, total-variation (TV) minimization. The algorithm design focuses on…

Medical Physics · Physics 2015-05-20 Emil Y. Sidky , Yuval Duchin , Christer Ullberg , Xiaochuan Pan

Tomography is the three-dimensional reconstruction of an object from images taken at different angles. The term classical tomography is used, when the imaging beam travels in straight lines through the object. This assumption is valid for…

Quantitative Methods · Quantitative Biology 2016-10-10 Paul Müller , Mirjam Schürmann , Jochen Guck