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Recovering corrupted images is one of the most challenging problems in image processing. Among various restoration tasks, blind image deblurring has been extensively studied due to its practical importance and inherent difficulty. In this…

计算机视觉与模式识别 · 计算机科学 2026-04-22 Heng Zhang , Reza Parvaz , Rui Yang

Compressed Sensing suggests that the required number of samples for reconstructing a signal can be greatly reduced if it is sparse in a known discrete basis, yet many real-world signals are sparse in a continuous dictionary. One example is…

信息论 · 计算机科学 2015-07-24 Yuanxin Li , Yuejie Chi

The single-scatter approximation is fundamental in many tomographic imaging problems including x-ray scatter imaging and optical scatter imaging for certain media. In all cases, noisy measurements are affected by both local scatter events…

图像与视频处理 · 电气工程与系统科学 2021-04-21 Michael R. Walker , Joseph A. O'Sullivan

Accurate quantification in positron emission tomography (PET) is essential for accurate diagnostic results and effective treatment tracking. A major issue encountered in PET imaging is attenuation. Attenuation refers to the diminution of…

In this work we propose a technique to remove sparse impulse noise from hyperspectral images. Our algorithm accounts for the spatial redundancy and spectral correlation of such images. The proposed method is based on the recently introduced…

图像与视频处理 · 电气工程与系统科学 2019-12-16 Angshul Majumdar , Naushad Ansari , Hemant Aggarwal , Pravesh Biyani

We propose an image deconvolution algorithm when the data is contaminated by Poisson noise. The image to restore is assumed to be sparsely represented in a dictionary of waveforms such as the wavelet or curvelet transform. Our key…

最优化与控制 · 数学 2008-03-25 François-Xavier Dupé , Jalal Fadili , Jean Luc Starck

Ptychography is now integrated as a tool in mainstream microscopy allowing quantitative and high-resolution imaging capabilities over a wide field of view. However, its ultimate performance is inevitably limited by the available coherent…

计算物理 · 物理学 2024-06-12 Wenhui Xu , Shoucong Ning , Pengju Sheng , Huixiang Lin , Angus I Kirkland , Yong Peng , Fucai Zhang

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…

医学物理 · 物理学 2018-03-06 Peng Bao , Jiliu Zhou , Yi Zhang

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…

医学物理 · 物理学 2018-01-11 Wenxiang Cong , Ge Wang

With the development of computed tomography (CT) imaging technology, it is possible to acquire multi-energy data by spectral CT. Being different from conventional CT, the X-ray energy spectrum of spectral CT is cutting into several narrow…

医学物理 · 物理学 2023-01-25 Yuanwei He , Li Zeng , Qiong Xu , Zhe Wang , Haijun Yu , Zhaoqiang Shen , Zhaojun Yang , Rifeng Zhou

Typical blur from camera shake often deviates from the standard uniform convolutional script, in part because of problematic rotations which create greater blurring away from some unknown center point. Consequently, successful blind…

计算机视觉与模式识别 · 计算机科学 2013-06-18 Haichao Zhang , David Wipf

We aim at the solution of inverse problems in imaging, by combining a penalized sparse representation of image patches with an unconstrained smooth one. This allows for a straightforward interpretation of the reconstruction. We formulate…

图像与视频处理 · 电气工程与系统科学 2025-03-18 Stanislas Ducotterd , Sebastian Neumayer , Michael Unser

Nonlocal self-similarity and group sparsity have been widely utilized in image compressive sensing (CS). However, when the sampling rate is low, the internal prior information of degraded images may be not enough for accurate restoration,…

计算机视觉与模式识别 · 计算机科学 2019-01-24 Lizhao Li , Song Xiao

In this work, we describe a Bayesian framework for reconstructing the boundaries of piecewise smooth regions in the X-ray computed tomography (CT) problem in an infinite-dimensional setting. In addition to the reconstruction, we are also…

数值分析 · 数学 2022-12-20 Babak Maboudi Afkham , Yiqiu Dong , Per Christian Hansen

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

Computed Tomography (CT) reconstruction is a fundamental component to a wide variety of applications ranging from security, to healthcare. The classical techniques require measuring projections, called sinograms, from a full 180$^\circ$…

计算机视觉与模式识别 · 计算机科学 2018-07-12 Rushil Anirudh , Hyojin Kim , Jayaraman J. Thiagarajan , K. Aditya Mohan , Kyle Champley , Timo Bremer

Despite the indispensable role of X-ray computed tomography (CT) in diagnostic medicine field, the associated ionizing radiation is still a major concern considering that it may cause genetic and cancerous diseases. Decreasing the exposure…

图像与视频处理 · 电气工程与系统科学 2021-06-09 Ti Bai , Dan Nguyen , Biling Wang , Steve Jiang

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

Traditional model-based image reconstruction (MBIR) methods combine forward and noise models with simple object priors. Recent application of deep learning methods for image reconstruction provides a successful data-driven approach to…

图像与视频处理 · 电气工程与系统科学 2023-11-22 Ling Chen , Zhishen Huang , Yong Long , Saiprasad Ravishankar

This paper presents an adaptive and intelligent sparse model for digital image sampling and recovery. In the proposed sampler, we adaptively determine the number of required samples for retrieving image based on space-frequency-gradient…

计算机视觉与模式识别 · 计算机科学 2017-11-27 Ali Taimori , Farokh Marvasti