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This paper introduces an universal and structure-preserving regularization term, called quantile sparse image (QuaSI) prior. The prior is suitable for denoising images from various medical imaging modalities. We demonstrate its…

We consider distributed optimization methods for problems where forming the Hessian is computationally challenging and communication is a significant bottleneck. We leverage randomized sketches for reducing the problem dimensions as well as…

Optimization and Control · Mathematics 2022-03-21 Burak Bartan , Mert Pilanci

The use of deep learning has successfully solved several problems in the field of medical imaging. Deep learning has been applied to the CT denoising problem successfully. However, the use of deep learning requires large amounts of data to…

Image and Video Processing · Electrical Eng. & Systems 2022-04-04 Mayank Patwari , Ralf Gutjahr , Rainer Raupach , Andreas Maier

The explosive rise of the use of Computer tomography (CT) imaging in medical practice has heightened public concern over the patient's associated radiation dose. However, reducing the radiation dose leads to increased noise and artifacts,…

Computer Vision and Pattern Recognition · Computer Science 2021-07-06 Sutanu Bera , Prabir Kumar Biswas

Dynamic computed tomography perfusion (CTP) imaging is a promising approach for acute ischemic stroke diagnosis and evaluation. Hemodynamic parametric maps of cerebral parenchyma are calculated from repeated CT scans of the first pass of…

Medical Physics · Physics 2020-05-21 Dufan Wu , Hui Ren , Quanzheng Li

Utilizing a low-dose CT approach significantly reduces the radiation exposure for patients, yet it introduces challenges, such as increased noise and artifacts in the resultant images, which can hinder accurate medical diagnostics.…

Image and Video Processing · Electrical Eng. & Systems 2024-04-03 Helena Shawn , Thompson Chyrikov , Jacob Lanet , Lam-chi Chen , Jim Zhao , Christina Chajo

Spectral computed tomography based on a photon-counting detector (PCD) attracts more and more attentions since it has the capability to provide more accurate identification and quantitative analysis for biomedical materials. The limited…

Image and Video Processing · Electrical Eng. & Systems 2023-11-17 Xiaodong Guo , Longhui Li , Dingyue Chang , Peng He , Peng Feng , Hengyong Yu , Weiwen Wu

Image denoising algorithms have been extensively investigated for medical imaging. To perform image denoising, penalized least-squares (PLS) problems can be designed and solved, in which the penalty term encodes prior knowledge of the…

Image and Video Processing · Electrical Eng. & Systems 2025-02-03 Wentao Chen , Tianming Xu , Weimin Zhou

Optical coherence tomography (OCT) is an important interferometric diagnostic technique which provides cross-sectional views of the subsurface microstructure of biological tissues. However, the imaging quality of high-speed OCT is limited…

Computer Vision and Pattern Recognition · Computer Science 2015-03-13 Liheng Bian , Jinli Suo , Feng Chen , Qionghai Dai

Most of the existing denoising algorithms are developed for grayscale images, while it is not a trivial work to extend them for color image denoising because the noise statistics in R, G, B channels can be very different for real noisy…

Computer Vision and Pattern Recognition · Computer Science 2018-12-19 Jun Xu , Lei Zhang , David Zhang , Xiangchu Feng

Recently, low-rank matrix recovery theory has been emerging as a significant progress for various image processing problems. Meanwhile, the group sparse coding (GSC) theory has led to great successes in image restoration (IR) problem with…

Image and Video Processing · Electrical Eng. & Systems 2020-05-26 Yunyi Li , Guan Gui , Xiefeng Cheng

Reconstructing hyperspectral images (HSIs) from a single RGB image is ill-posed and can become physically inconsistent when the camera spectral sensitivity (CSS) and scene illumination are misspecified. We formulate RGB-to-HSI…

Computer Vision and Pattern Recognition · Computer Science 2025-09-22 Xiaoyang Ma , Yiyang Chai , Xinran Qu , Hong Sun

Computed tomography (CT) has been developed as a non-destructive technique for observing minute internal images of samples. It has been difficult to obtain photo-realistic (clean or clear) CT images due to various unwanted artifacts…

Quantum Physics · Physics 2023-09-12 Kyungtaek Jun

Image denoising of low-dose computed tomography (LDCT) is an important problem for clinical diagnosis with reduced radiation exposure. Previous methods are mostly trained with pairs of synthetic or misaligned LDCT and normal-dose CT (NDCT)…

Image and Video Processing · Electrical Eng. & Systems 2025-02-04 Junhao Long , Fengwei Yang , Juncheng Yan , Baoping Zhang , Chao Jin , Jian Yang , Changliang Zou , Jun Xu

We propose a PDE-constrained optimization approach for the determination of noise distribution in total variation (TV) image denoising. An optimization problem for the determination of the weights correspondent to different types of noise…

Optimization and Control · Mathematics 2012-07-17 Juan-Carlos De los Reyes , Carola-Bibiane Schönlieb

In this paper, we use Proximal Cubic regularized Newton Methods (PCNM) to optimize the sum of a smooth convex function and a non-smooth convex function, where we use inexact gradient and Hessian, and an inexact subsolver for the cubic…

Optimization and Control · Mathematics 2019-02-27 Chaobing Song , Ji Liu , Yong Jiang

Dose reduction in computed tomography (CT) is essential for decreasing radiation risk in clinical applications. Iterative reconstruction is one of the most promising ways to compensate for the increased noise due to reduction of photon…

Image and Video Processing · Electrical Eng. & Systems 2021-03-24 Zhuonan He , Yikun Zhang , Yu Guan , Shanzhou Niu , Yi Zhang , Yang Chen , Qiegen Liu

This work tackles the issue of noise removal from images, focusing on the well-known DCT image denoising algorithm. The latter, stemming from signal processing, has been well studied over the years. Though very simple, it is still used in…

Image and Video Processing · Electrical Eng. & Systems 2022-07-13 Sébastien Herbreteau , Charles Kervrann

In second-order optimization, a potential bottleneck can be computing the Hessian matrix of the optimized function at every iteration. Randomized sketching has emerged as a powerful technique for constructing estimates of the Hessian which…

Optimization and Control · Mathematics 2021-07-16 Michał Dereziński , Jonathan Lacotte , Mert Pilanci , Michael W. Mahoney

Large scale optimization problems are ubiquitous in machine learning and data analysis and there is a plethora of algorithms for solving such problems. Many of these algorithms employ sub-sampling, as a way to either speed up the…

Optimization and Control · Mathematics 2016-02-29 Farbod Roosta-Khorasani , Michael W. Mahoney
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