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In this paper we consider the inverse scattering problem for high-contrast targets. We mathematically analyze the experimentally-observed phenomenon of super-resolution in imaging the target shape. This is the first time that a mathematical…

Mathematical Physics · Physics 2014-10-07 Habib Ammari , Yat Tin Chow , Jun Zou

Cone-beam breast computed tomography (CT) provides true 3D breast images with isotropic resolution and high-contrast information, detecting calcifications as small as a few hundred microns and revealing subtle tissue differences. However,…

Medical Physics · Physics 2019-12-18 Wenxiang Cong , Hongming Shan , Xiaohua Zhang , Shaohua Liu , Ruola Ning , 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…

Medical Physics · Physics 2023-01-25 Yuanwei He , Li Zeng , Qiong Xu , Zhe Wang , Haijun Yu , Zhaoqiang Shen , Zhaojun Yang , Rifeng Zhou

Recent CT Metal Artifacts Reduction (MAR) methods are often based on image-to-image convolutional neural networks for adjustment of corrupted sinograms or images themselves. In this paper, we are exploring the capabilities of a multi-domain…

Computer Vision and Pattern Recognition · Computer Science 2020-05-12 Artem Pimkin , Alexander Samoylenko , Natalia Antipina , Anna Ovechkina , Andrey Golanov , Alexandra Dalechina , Mikhail Belyaev

Industrial X-ray cone-beam CT (XCT) scanners are widely used for scientific imaging and non-destructive characterization. Industrial CBCT scanners use large detectors containing millions of pixels and the subsequent 3D reconstructions can…

Image and Video Processing · Electrical Eng. & Systems 2025-01-24 Aniket Pramanik , Singanallur V. Venkatakrishnan , Obaidullah Rahman , Amirkoushyar Ziabari

Recent advances in diffusion models have spurred research into their application for Reconstruction-based unsupervised anomaly detection. However, these methods may struggle with maintaining structural integrity and recovering the…

Computer Vision and Pattern Recognition · Computer Science 2025-03-27 Farzad Beizaee , Gregory A. Lodygensky , Christian Desrosiers , Jose Dolz

Different technical and physical factors may affect the image quality reconstructed using a Computed Tomography system. We have developed and designed a 2D Gamma Computed Tomography set up to study the effect of some physical parameters.…

Instrumentation and Detectors · Physics 2022-08-19 Kajal Kumari , Mayank Goswami

Convolutional layers in CNNs implement linear filters which decompose the input into different frequency bands. However, most modern architectures neglect standard principles of filter design when optimizing their model choices regarding…

Computer Vision and Pattern Recognition · Computer Science 2021-07-30 Nergis Tomen , Jan van Gemert

Dual-energy computed tomography (DECT) has shown great potential and promising applications in advanced imaging fields for its capabilities of material decomposition. However, image reconstructions and decompositions under sparse views…

Medical Physics · Physics 2016-08-01 Lei Li , Ailong Cai , Linyuan Wang , Bin Yan , Hanming Zhang , Zhizhong Zheng , Wenkun Zhang , Wanli Lu , Guoen Hu

Convolutional neural network (CNN) has achieved unprecedented success in image super-resolution tasks in recent years. However, the network's performance depends on the distribution of the training sets and degrades on out-of-distribution…

Computer Vision and Pattern Recognition · Computer Science 2021-05-20 Aupendu Kar , Prabir Kumar Biswas

We propose a convolutional neural network (CNN) architecture for image classification based on subband decomposition of the image using wavelets. The proposed architecture decomposes the input image spectra into multiple critically sampled…

Computer Vision and Pattern Recognition · Computer Science 2021-03-03 Pavel Sinha , Ioannis Psaromiligkos , Zeljko Zilic

We present a method to reconstruct the dielectric susceptibility (scattering potential) of an inhomogeneous scattering medium, based on the solution to the inverse scattering problem with internal sources. We employ the theory of…

Numerical Analysis · Mathematics 2024-07-18 Yakun Dong , Kamran Sadiq , Otmar Scherzer , John C. Schotland

Computed Tomography (CT) is an essential non-destructive three dimensional imaging modality used in medicine, security screening, and inspection of manufactured components. Typical CT data acquisition entails the collection of a thousand or…

Medical Physics · Physics 2024-10-11 Kyle M. Champley , Michael B. Zellner , Joseph W. Tringe , Harry E. Martz

Scatter processes of photons lead to blurring of images. Multiple scatter can usually be described by one Gaussian convolution kernel. This can be a crude approximation and we need a linear combination of 2/3 Gaussian kernels to account for…

Data Analysis, Statistics and Probability · Physics 2011-09-20 Waldemar Ulmer

In this paper, new results on convolution of spectral components in binary fields have been presented for combiatorial sequences. A novel method of convolution of DFT points through Chinese Remainder Theorem (CRT) is presented which has…

Information Theory · Computer Science 2019-11-27 Muhammad Asad Khan , Sajid Saleem , Amir A Khan

In the study of condensed matter physics, spectral information plays an important role for understand the mechanism of materials. However, it is difficult to obtain the spectrum directly through experiments or simulation. For example, the…

Computational Physics · Physics 2022-12-23 Haidong Xie , Xueshuang Xiang , Yuanqing Chen

Images taken in a low light condition with the presence of camera shake suffer from motion blur and photon shot noise. While state-of-the-art image restoration networks show promising results, they are largely limited to well-illuminated…

Image and Video Processing · Electrical Eng. & Systems 2023-04-07 Yash Sanghvi , Zhiyuan Mao , Stanley H. Chan

We study streaking artifacts caused by beam-hardening effects in X-ray computed tomography (CT). The effect is known to be nonlinear. We show that the nonlinearity can be recovered from the observed artifacts for strictly convex bodies. The…

Analysis of PDEs · Mathematics 2023-04-12 Yiran Wang

The problem of deblurring an image when the blur kernel is unknown remains challenging after decades of work. Recently there has been rapid progress on correcting irregular blur patterns caused by camera shake, but there is still much room…

Computer Vision and Pattern Recognition · Computer Science 2013-02-08 Paul Shearer , Anna C. Gilbert , Alfred O. Hero

Image compression is one of the essential methods of image processing. Its most prominent advantage is the significant reduction of image size allowing for more efficient storage and transfer. However, lossy compression is associated with…

Image and Video Processing · Electrical Eng. & Systems 2021-05-25 Patryk Najgebauer , Rafal Scherer , Leszek Rutkowski
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