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Recent years have seen growing interest in exploiting dual- and multi-energy measurements in computed tomography (CT) in order to characterize material properties as well as object shape. Material characterization is performed by…

计算机视觉与模式识别 · 计算机科学 2015-09-30 Brian H. Tracey , Eric L. Miller

There is widespread interest in estimating the fluorescence properties of natural materials in an image. However, the separation between reflected and fluoresced components is difficult, because it is impossible to distinguish reflected and…

计算机视觉与模式识别 · 计算机科学 2016-05-16 Henryk Blasinski , Joyce Farrell , Brian Wandell

To reconstruct a radioactive tracer distribution with positron emission tomography (PET), the background attenuation correction is needed to eliminate image artifacts. Recent research shows that time-of-flight (TOF) PET data determine the…

医学物理 · 物理学 2013-12-30 Qingsong Yang , Wenxiang Cong , Ge Wang

Among the various machine learning methods solving partial differential equations, the Random Feature Method (RFM) stands out due to its accuracy and efficiency. In this paper, we demonstrate that the approximation error of RFM exhibits…

数值分析 · 数学 2025-07-11 Pingbing Ming , Hao Yu

We demonstrate that simultaneous reconstruction of scattering and absorption of a mesoscopic system using angularly-resolved measurements of scattered light intensity is possible. Image reconstruction is realized based on the algebraic…

光学 · 物理学 2011-01-07 Lucia Florescu , John C. Schotland , Vadim A. Markel

The Radon cumulative distribution transform (R-CDT) exploits one-dimensional Wasserstein transport and the Radon transform to represent prominent features in images. It is closely related to the sliced Wasserstein distance and facilitates…

数值分析 · 数学 2026-02-02 Matthias Beckmann , Robert Beinert , Jonas Bresch

In this paper, we presented an efficient algorithm to implement the regularization reconstruction of SPECT. Image reconstruction with priori assumptions is usually modeled as a constrained optimization problem. However, there is no…

最优化与控制 · 数学 2013-06-07 Shousheng Luo , Tie Zhou

Purpose: Electron density is the most important tissue property influencing photon and ion dose distributions in radiotherapy patients. Dual-energy computed tomography (DECT) enables the determination of electron density by combining the…

医学物理 · 物理学 2017-06-29 Christian Möhler , Patrick Wohlfahrt , Christian Richter , Steffen Greilich

Single-image reflection removal is a highly ill-posed problem, where existing methods struggle to reason about the composition of corrupted regions, causing them to fail at recovery and generalization in the wild. This work reframes an…

计算机视觉与模式识别 · 计算机科学 2025-12-09 Mingjia Li , Jin Hu , Hainuo Wang , Qiming Hu , Jiarui Wang , Xiaojie Guo

Single Photon Emission Computed Tomography (SPECT) is one of the nuclear medicine imaging modalities used for functional analysis of animal and human organs. Gamma rays emitted from the scanned body are filtered with collimators and…

图像与视频处理 · 电气工程与系统科学 2020-12-15 Manu Francis , Muhammed Tarek , Mark Pickering , Murat Tahtali

In this paper we demonstrate the utility of fusing energy-resolved observations of Compton scattered photons with traditional attenuation data for the joint recovery of mass density and photoelectric absorption in the context of limited…

计算机视觉与模式识别 · 计算机科学 2017-07-07 Hamideh Rezaee , Brian Tracey , Eric L. Miller

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…

数据分析、统计与概率 · 物理学 2007-05-23 Ali Mohammad-Djafari

A methodology is proposed, which addresses the caveat that line-of-sight emission spectroscopy presents in that it cannot provide spatially resolved temperature measurements in nonhomogeneous temperature fields. The aim of this research is…

机器学习 · 计算机科学 2022-12-16 Ruiyuan Kang , Dimitrios C. Kyritsis , Panos Liatsis

Photon-Counting Computed Tomography (PCCT) is a novel imaging modality that simultaneously acquires volumetric data at multiple X-ray energy levels, generating separate volumes that capture energy-dependent attenuation properties.…

人机交互 · 计算机科学 2025-08-21 Mohit Sharma , Emma Nilsson , Martin Falk , Talha Bin Masood , Lee Jollans , Anders Persson , Tino Ebbers , Ingrid Hotz

Measuring attenuation coefficients is a fundamental problem that can be solved with diverse techniques such as X-ray or optical tomography and lidar. We propose a novel approach based on the observation of a sample from a few different…

最优化与控制 · 数学 2017-01-11 Valentin Debarnot , Jonas Kahn , Pierre Weiss

Quantifying material mass and electron density from computed tomography (CT) reconstructions can be highly valuable in certain medical practices, such as radiation therapy planning. However, uniquely parameterising the X-ray attenuation in…

医学物理 · 物理学 2019-04-30 Jonathan H. Mason , Alessandro Perelli , William H. Nailon , Mike E. Davies

Tomographic Gamma Scanning (TGS) is a technique used to assay the nuclide distribution and radioactivity in nuclear waste drums. Both transmission and emission scans are performed in TGS and the transmission image is used for the…

核实验 · 物理学 2014-04-18 Ke Wang , Zheng Li , Wei Feng , Dong Han

In this article, we study several reconstruction methods for the inverse source problem of photoacoustic tomography (PAT) with spatially variable sound speed and damping. The backbone of these methods is the adjoint operators, which we…

偏微分方程分析 · 数学 2018-08-21 Linh V. Nguyen , Markus Haltmeier

Tomography is a central tool in medical applications, allowing doctors to investigate patients' interior features. The Radon transform (in two dimensions) is commonly used to model the measurement process in parallel-beam CT. Suitable…

数值分析 · 数学 2026-02-27 Richard Huber

The Compton camera is a promising alternative to the Anger camera for imaging gamma radiation, with the potential to significantly increase the sensitivity of SPECT. Two-dimensional Compton camera image reconstruction can be implemented by…

数值分析 · 数学 2016-09-13 Markus Haltmeier , Sunghwan Moon , Daniela Schiefeneder