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The blind image deconvolution is a challenging, highly ill-posed nonlinear inverse problem. We introduce a Multiscale Hierarchical Decomposition Method (MHDM) that is iteratively solving variational problems with adaptive data and…

Numerical Analysis · Mathematics 2025-08-21 Tobias Wolf , Stefan Kindermann , Elena Resmerita , Luminita Vese

Objective: Quantitative technique based on In-line phase-contrast computed tomography with single scanning attracts more attention in application due to the flexibility of the implementation. However, the quantitative results usually suffer…

Medical Physics · Physics 2022-06-13 Suyu Liao , Shiwo Deng , Yining Zhu , Huitao Zhang , Peiping Zhu , Kai Zhang , Xing Zhao

The resurgence of deep neural networks has created an alternative pathway for low-dose computed tomography denoising by learning a nonlinear transformation function between low-dose CT (LDCT) and normal-dose CT (NDCT) image pairs. However,…

Image and Video Processing · Electrical Eng. & Systems 2022-11-04 Sutanu Bera , Prabir Kumar Biswas

Depth estimation from a single image is an active research topic in computer vision. The most accurate approaches are based on fully supervised learning models, which rely on a large amount of dense and high-resolution (HR) ground-truth…

Computer Vision and Pattern Recognition · Computer Science 2021-09-27 Jialei Xu , Yuanchao Bai , Xianming Liu , Junjun Jiang , Xiangyang Ji

Background: Dual-energy CT (DECT) and material decomposition play vital roles in quantitative medical imaging. However, the decomposition process may suffer from significant noise amplification, leading to severely degraded image…

Compressed Sensing (CS) significantly speeds up Magnetic Resonance Image (MRI) processing and achieves accurate MRI reconstruction from under-sampled k-space data. According to the current research, there are still several problems with…

Image and Video Processing · Electrical Eng. & Systems 2023-10-24 Junpeng Tan , Chunmei Qing , Xiangmin Xu

By acquiring two sets of tomographic measurements at distinct X-ray spectra, the dual-energy CT (DECT) enables quantitative material-specific imaging. However, the conventionally decomposed material basis images may encounter severe image…

In spectral CT reconstruction, the basis materials decomposition involves solving a large-scale nonlinear system of integral equations, which is highly ill-posed mathematically. This paper proposes a model that parameterizes the attenuation…

Image and Video Processing · Electrical Eng. & Systems 2026-04-07 Ligen Shi , Ping Yang , Chang Liu , Wei Zhang , Xing Zhao , Jun Qiu

Low-dose Computed Tomography (LDCT) reconstruction is an important task in medical image analysis. Recent years have seen many deep learning based methods, proved to be effective in this area. However, these methods mostly follow a…

Image and Video Processing · Electrical Eng. & Systems 2023-02-08 Runyi Li

Limited Angle Computed Tomography (LACT) often faces significant challenges due to missing angular information. Unlike previous methods that operate in the image domain, we propose a new method that focuses on sinogram inpainting. We…

Computer Vision and Pattern Recognition · Computer Science 2025-11-26 Jiaqi Guo , Santiago Lopez-Tapia , Aggelos K. Katsaggelos

We consider the problem of signal reconstruction for computed tomography (CT) under a nonlinear forward model that accounts for exponential signal attenuation, a polychromatic X-ray source, general measurement noise (e.g., Poisson shot…

Image and Video Processing · Electrical Eng. & Systems 2026-02-12 Mengqi Lou , Kabir Aladin Verchand , Sara Fridovich-Keil , Ashwin Pananjady

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$^\circ$…

Computer Vision and Pattern Recognition · Computer Science 2018-07-12 Rushil Anirudh , Hyojin Kim , Jayaraman J. Thiagarajan , K. Aditya Mohan , Kyle Champley , Timo Bremer

We consider image denoising using a nonlinear diffusion process, where we solve unsteady partial differential equations with nonlinear coefficients. The noised image is given as an initial condition, and nonlinear coefficients are used to…

Numerical Analysis · Mathematics 2025-05-14 Maria Vasilyeva , Aleksei Krasnikov , Kelum Gajamannage , Mehrube Mehrubeoglu

Computed tomography is a widely used imaging modality with applications ranging from medical imaging to material analysis. One major challenge arises from the lack of scanning information at certain angles, resulting in distortion or…

Many clinical applications depend critically on the accurate differentiation and classification of different types of materials in patient anatomy. This work introduces a unified framework for accurate nonlinear material decomposition and…

Medical Physics · Physics 2018-03-19 Wei Zhao , Don Vernekohl , Fei Han , Bin Han , Hao Peng , Lei Xing , James K Min

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…

Medical Physics · Physics 2018-01-11 Wenxiang Cong , Ge Wang

Ultrasound computed tomography (USCT) is an emerging modality for breast imaging. Image reconstruction methods that incorporate accurate wave physics produce high resolution quantitative images of acoustic properties but are computationally…

Image and Video Processing · Electrical Eng. & Systems 2025-02-14 Luke Lozenski , Hanchen Wang , Fu Li , Mark A. Anastasio , Brendt Wohlberg , Youzuo Lin , Umberto Villa

Self-supervised monocular depth estimation (SSMDE) has gained attention in the field of deep learning as it estimates depth without requiring ground truth depth maps. This approach typically uses a photometric consistency loss between a…

Computer Vision and Pattern Recognition · Computer Science 2025-03-31 Wonhyeok Choi , Kyumin Hwang , Minwoo Choi , Kiljoon Han , Wonjoon Choi , Mingyu Shin , Sunghoon Im

The work seeks to develop an algorithm for image reconstruction by directly inverting the non-linear data model in spectral CT. Using the non-linear data model, we formulate the image-reconstruction problem as a non-convex optimization…

Medical Physics · Physics 2021-02-23 Buxin Chen , Zheng Zhang , Dan Xia , Emil Y. Sidky , Xiaochuan Pan

Multi-focus is a technique of focusing on different aspects of a particular object or scene. Wireless Visual Sensor Networks (WVSN) use multi-focus image fusion, which combines two or more images to create a more accurate output image that…

Computer Vision and Pattern Recognition · Computer Science 2023-05-22 Krishnendu K. S.