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Tomography has made a radical impact on diverse fields ranging from the study of 3D atomic arrangements in matter to the study of human health in medicine. Despite its very diverse applications, the core of tomography remains the same, that…

Tomography has had an important impact on the physical, biological, and medical sciences. To date, most tomographic applications have been focused on 3D scalar reconstructions. However, in some crucial applications, vector tomography is…

医学物理 · 物理学 2023-10-20 Minh Pham , Xingyuan Lu , Arjun Rana , Stanley Osher , Jianwei Miao

Computed Tomography (CT) has been widely adopted in medicine and it is increasingly being used in scientific and industrial applications. Parallelly, research in different mathematical areas concerning discrete inverse problems has led to…

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…

医学物理 · 物理学 2015-12-23 Kang Yang , Kevin Yang , Xintie Yang , Shuang-Ren Zhao

For nonlinear multispectral computed tomography (CT), accurate and fast image reconstruction is challenging when the scanning geometries under different X-ray energy spectra are inconsistent or mismatched. Motivated by this, we propose an…

数值分析 · 数学 2025-07-28 Yu Gao , Chong Chen

X-Ray based computed tomography (CT) is a well-established technique for determining the three-dimensional structure of an object from its two-dimensional projections. In the past few decades, there have been significant advancements in the…

医学物理 · 物理学 2023-04-26 Dinesh Kumar , Dilworth Y. Parkinson , Jeffrey J. Donatelli

This paper proposes a new two-step procedure for sparse-view tomographic image reconstruction. It is called RISING, since it combines an early-stopped Rapid Iterative Solver with a subsequent Iteration Network-based Gaining step. So far,…

数值分析 · 数学 2022-01-25 Davide Evangelista , Elena Morotti , Elena Loli Piccolomini

In this paper, we introduce silhouette tomography, a novel formulation of X-ray computed tomography that relies only on the geometry of the imaging system. We formulate silhouette tomography mathematically and provide a simple method for…

图像与视频处理 · 电气工程与系统科学 2024-02-13 Evan Bell , Michael T. McCann , Marc Klasky

Modern tomography involves gathering projection data from multiple directions and feeding them into a software algorithm for tomographic reconstruction. We focus our study on image reconstruction from Radon data in the setting of…

数值分析 · 数学 2014-12-19 Maria Angela Narduzzo

Holographic Tomography (HT) or Optical Diffraction Tomography (ODT) provides slice-by-slice information about the refractive index (RI) of three-dimensional (3D) samples and is emerging as an important label-free imaging modality for Life…

图像与视频处理 · 电气工程与系统科学 2025-04-22 N Goyal , K Khare

A new algorithm for reconstructing a two dimensional object from a set of one dimensional projected views is presented that is both computationally exact and experimentally practical. The algorithm has a computational complexity of O(n log2…

3D reconstruction of high-resolution target remains a challenge task due to the large memory required from the large input image size. Recently developed learning based algorithms provide promising reconstruction performance than…

计算机视觉与模式识别 · 计算机科学 2025-03-11 Yanwei Wang

In this work, we propose a new paradigm of iterative model-based reconstruction algorithms for providing real-time solution for zooming-in and refining a region of interest in medical and clinical tomographic images. This algorithmic…

图像与视频处理 · 电气工程与系统科学 2025-12-01 Junqi Tang , Guixian Xu , Jinglai Li

Current state-of-the-art motion-based dynamic computed tomography reconstruction techniques estimate the deformation by considering motion models in the entire object volume although occasionally the proper change is local. In this article,…

最优化与控制 · 数学 2023-09-06 Anh-Tuan Nguyen , Jens Renders , Jan Sijbers , Jan De Beenhouwer

The majority of the recent iterative approaches in 4DCT not only rely on nested iterations, thereby increasing computational complexity and constraining potential acceleration, but also fail to provide a theoretical proof of convergence for…

图像与视频处理 · 电气工程与系统科学 2025-10-08 Anh-Tuan Nguyen , Jens Renders , Khoi-Nguyen Nguyen , Tat-Dat To , Domenico Iuso , Yves Maris

For single source helical Computed Tomography (CT), both Filtered-Back Projection (FBP) and statistical iterative reconstruction have been investigated. However for dual source CT with flying focal spot (DS-FFS CT), statistical iterative…

图像与视频处理 · 电气工程与系统科学 2022-02-14 Xiao Wang , Robert D. MacDougall , Peng Chen , Charles A. Bouman , Simon K. Warfield

Nowadays, the field computed tomography (CT) encompasses a large variety of settings, ranging from nanoscale to meter-sized objects imaged by different kinds of radiation in various acquisition modes. This experimental diversity challenges…

数值分析 · 数学 2019-01-11 Simon Maretzke

Electron tomography is becoming an increasingly important tool in materials science for studying the three-dimensional morphologies and chemical compositions of nanostructures. The image quality obtained by many current algorithms is…

A novel and highly efficient computational framework for reconstructing binary-type images suitable for models of various complexity seen in diverse biomedical applications is developed and validated. Efficiency in computational speed and…

最优化与控制 · 数学 2024-02-09 Paul R. Arbic , Vladislav Bukshtynov

Computed tomography has propelled scientific advances in fields from biology to materials science. This technology allows for the elucidation of 3-dimensional internal structure by the attenuation of x-rays through an object at different…

计算机视觉与模式识别 · 计算机科学 2022-11-02 Rey Mendoza , Minh Nguyen , Judith Weng Zhu , Vincent Dumont , Talita Perciano , Juliane Mueller , Vidya Ganapati
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