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In this paper, we consider the use of Total Variation (TV) minimization for compressive imaging; that is, image reconstruction from subsampled measurements. Focusing on two important imaging modalities -- namely, Fourier imaging and…

信息论 · 计算机科学 2020-09-21 Ben Adcock , Nick Dexter , Qinghong Xu

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…

医学物理 · 物理学 2017-10-02 T. Humphries , J. Winn , A. Faridani

Reconstructing dynamic, time-varying scenes with computed tomography (4D-CT) is a challenging and ill-posed problem common to industrial and medical settings. Existing 4D-CT reconstructions are designed for sparse sampling schemes that…

图像与视频处理 · 电气工程与系统科学 2021-04-26 Albert W. Reed , Hyojin Kim , Rushil Anirudh , K. Aditya Mohan , Kyle Champley , Jingu Kang , Suren Jayasuriya

This paper investigates the problem of recovering missing samples using methods based on sparse representation adapted especially for image signals. Instead of $l_2$-norm or Mean Square Error (MSE), a new perceptual quality measure is used…

机器学习 · 计算机科学 2017-10-18 Amirhossein Javaheri , Hadi Zayyani , Farokh Marvasti

X-ray Computed Tomography (CT) reconstruction from a sparse number of views is a useful way to reduce either the radiation dose or the acquisition time, for example in fixed-gantry CT systems, however this results in an ill-posed inverse…

数据结构与算法 · 计算机科学 2020-11-04 Alessandro Perelli , Michael Lexa , Ali Can , Mike E. Davies

In the current paper we consider the Helical Cone Beam CT. This scanning method exposes the patient to large quantities of radiation and results in very large amounts of data being collected and stored. Both these facts are prime motivators…

信息论 · 计算机科学 2016-02-11 Tamir Bendory , Arie Feuer

We address the problem of image reconstruction from incomplete measurements, encompassing both upsampling and inpainting, within a learning-based framework. Conventional supervised approaches require fully sampled ground truth data, while…

计算机视觉与模式识别 · 计算机科学 2026-03-23 Benjamin Walder , Daniel Toader , Robert Nuster , Günther Paltauf , Peter Burgholzer , Gregor Langer , Lukas Krainer , Markus Haltmeier

In the practical applications of computed tomography imaging, the projection data may be acquired within a limited-angle range and corrupted by noises due to the limitation of scanning conditions. The noisy incomplete projection data…

图像与视频处理 · 电气工程与系统科学 2022-08-02 Qifeng Gao , Rui Ding , Linyuan Wang , Bin Xue , Yuping Duan

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…

图像与视频处理 · 电气工程与系统科学 2023-09-14 Thomas Germer , Jan Robine , Sebastian Konietzny , Stefan Harmeling , Tobias Uelwer

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

Investigation of image reconstruction from data collected over a limited angular range in X-ray CT remains a topic of active research because it may yield insight into the development of imaging workflow of practical significance. This…

医学物理 · 物理学 2021-03-02 Zheng Zhang , Buxin Chen , Dan Xia , Emil Y. Sidky , Xiaochuan Pan

Limited view tomographic reconstruction aims to reconstruct a tomographic image from a limited number of sinogram or projection views arising from sparse view or limited angle acquisitions that reduce radiation dose or shorten scanning…

图像与视频处理 · 电气工程与系统科学 2020-09-04 Bo Zhou , S. Kevin Zhou , James S. Duncan , Chi Liu

We introduce phase-diagram analysis, a standard tool in compressed sensing, to the X-ray CT community as a systematic method for determining how few projections suffice for accurate sparsity-regularized reconstruction. In compressed sensing…

最优化与控制 · 数学 2015-08-19 Jakob S. Jørgensen , Emil Y. Sidky

In imaging modalities recording diffraction data, the original image can be reconstructed assuming known phases. When phases are unknown, oversampling and a constraint on the support region in the original object can be used to solve a…

信号处理 · 电气工程与系统科学 2018-10-17 Alberto Pietrini , Carl Nettelblad

We propose a novel method for 3D object reconstruction from a sparse set of views captured from a 360-degree calibrated camera rig. We represent the object surface through a hybrid model that uses both an MLP-based neural representation and…

计算机视觉与模式识别 · 计算机科学 2024-03-29 Llukman Cerkezi , Paolo Favaro

It is now well understood that (1) it is possible to reconstruct sparse signals exactly from what appear to be highly incomplete sets of linear measurements and (2) that this can be done by constrained L1 minimization. In this paper, we…

统计方法学 · 统计学 2007-11-13 Emmanuel J. Candes , Michael B. Wakin , Stephen P. Boyd

SPECT (Single-photon Emission Computerized Tomography) and PET (Positron Emission Tomography) are essential medical imaging tools, for which the sampling angle number, scan time should be chosen carefully to compromise between image quality…

医学物理 · 物理学 2015-06-16 Xiaolin Zhou , Minkai Yun , Xuexiang Cao , Shuangquan Liu , Lu Wang , Xianchao Huang , Long Wei

In this paper, we study the problem of image recovery from given partial (corrupted) observations. Recovering an image using a low-rank model has been an active research area in data analysis and machine learning. But often, images are not…

计算机视觉与模式识别 · 计算机科学 2020-03-13 Pawan Goyal , Hussam Al Daas , Peter Benner

Coded ptychography has emerged as a powerful technique for high-throughput, high-resolution lensless imaging. However, the trade-off between acquisition speed and image quality remains a significant challenge. To address this, we introduce…

图像与视频处理 · 电气工程与系统科学 2024-09-04 Ninghe Liu , Qianhao Zhao , Guoan Zheng

A major challenge in computed tomography (CT) is to reduce X-ray dose to a low or even ultra-low level while maintaining the high quality of reconstructed images. We propose a new method for CT reconstruction that combines penalized…

机器学习 · 统计学 2017-07-11 Xuehang Zheng , Zening Lu , Saiprasad Ravishankar , Yong Long , Jeffrey A. Fessler