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Coherent diffraction imaging is a high-resolution imaging technique whose potential can be greatly enhanced by applying the extrapolation method presented here. We demonstrate enhancement in resolution of a non-periodical object…

Light scattering by tissue severely limits how deep beneath the surface one can image, and the spatial resolution one can obtain from these images. Diffuse optical tomography (DOT) is one of the most powerful techniques for imaging deep…

Image and Video Processing · Electrical Eng. & Systems 2021-05-31 Yongyi Zhao , Ankit Raghuram , Hyun K. Kim , Andreas H. Hielscher , Jacob T. Robinson , Ashok Veeraraghavan

Physiological motion can affect the diagnostic quality of magnetic resonance imaging (MRI). While various retrospective motion correction methods exist, many struggle to generalize across different motion types and body regions. In…

Computer Vision and Pattern Recognition · Computer Science 2025-11-12 Qi Wang , Veronika Ecker , Marcel Früh , Sergios Gatidis , Thomas Küstner

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

Texture is an essential information in image representation, capturing patterns and structures. As a result, texture plays a crucial role in the manufacturing industry and is extensively studied in the fields of computer vision and pattern…

Computer Vision and Pattern Recognition · Computer Science 2023-07-11 Jongwook Si , Sungyoung Kim

Inverse problems generally require a regularizer or prior for a good solution. A recent trend is to train a convolutional net to denoise images, and use this net as a prior when solving the inverse problem. Several proposals depend on a…

Computer Vision and Pattern Recognition · Computer Science 2023-07-12 Kyle Luther , H. Sebastian Seung

The optical reflection coefficient of a dielectric medium moving uniformly in the plane spanned by its surface is rigorously calculated using classical electrodynamics and special relativity, and expressed in the Fourier domain, as a…

Refraction is a common physical phenomenon and has long been researched in computer vision. Objects imaged through a refractive object appear distorted in the image as a function of the shape of the interface between the media. This hinders…

Computer Vision and Pattern Recognition · Computer Science 2023-06-01 Antonin Sulc , Imari Sato , Bastian Goldluecke , Tali Treibitz

Single-particle cryo-electron microscopy (cryo-EM) has recently joined X-ray crystallography and NMR spectroscopy as a high-resolution structural method to resolve biological macromolecules. In a cryo-EM experiment, the microscope produces…

Information Theory · Computer Science 2022-10-28 Tamir Bendory , Nicolas Boumal , William Leeb , Eitan Levin , Amit Singer

This paper investigates a class of novel nonlinear reaction-diffusion systems that couple forward-backward with fractional diffusion for image restoration, offering the advantage of preserving both contour features and textures. The…

Analysis of PDEs · Mathematics 2025-07-15 Yihui Tong , Wenjie Liu , Zhichang Guo , Jingfeng Shao , Wenjuan Yao

We derive explicit formulas for the reconstruction of a function from its integrals over a family of spheres, or for the inversion of the spherical mean Radon transform. Such formulas are important for problems of thermo- and photo-…

Analysis of PDEs · Mathematics 2007-05-23 L. Kunyansky

Recent developments in x-ray science provide methods to probe deeply embedded mesoscale grain structures and spatially resolve them using dark field x-ray microscopy (DFXM). Extending this technique to investigate weak diffraction signals…

We present a closed-form image reconstruction method for single pixel imaging based on the generalized inverse of the measurement matrix. Its numerical cost scales linearly with the number of measured samples. Regularization is obtained by…

Image and Video Processing · Electrical Eng. & Systems 2018-07-26 Krzysztof M. Czajkowski , Anna Pastuszczak , Rafal Kotynski

Removing blur caused by moving objects is challenging, as the moving objects are usually significantly blurry while the static background remains clear. Existing methods that rely on local blur detection often suffer from inaccuracies and…

Computer Vision and Pattern Recognition · Computer Science 2024-12-13 Zhongbao Yang , Jiangxin Dong , Jinhui Tang , Jinshan Pan

In this work, a combined strategy of domain decomposition and the direct-line method is implemented to solve the forward and inverse linear elasticity problems of composite materials in general domains with multiple singularities. Domain…

Numerical Analysis · Mathematics 2026-01-27 Qinghua Wei , Xiaopeng Zhu , Zhongyi Huang

Light is a major carrier of information about the world around us, from the microcosmos to the macrocosmos. The present methods of detection are sensitive both to robust features, such as intensity, or polarization, and to more subtle…

Quantum Physics · Physics 2014-02-17 Z. Hradil , J. Rehacek , L. L. Sanchez-Soto

This paper proposes a novel approach to reconstruct changes in a target conductivity from electrical impedance tomography measurements. As in the conventional difference imaging, the reconstruction of the conductivity change is based on…

Computational Physics · Physics 2014-03-27 Dong Liu , Ville Kolehmainen , Samuli Siltanen , Anne maria Laukkanen , Aku Seppanen

Evaluation of residual elastic strain within the bulk of engineering components or natural objects is a challenging task, since in general it requires mapping a six-component tensor quantity in three dimensions. A further challenge concerns…

Recent studies show that deep learning (DL) based MRI reconstruction outperforms conventional methods, such as parallel imaging and compressed sensing (CS), in multiple applications. Unlike CS that is typically implemented with…

Image and Video Processing · Electrical Eng. & Systems 2022-08-22 Hongyi Gu , Burhaneddin Yaman , Steen Moeller , Il Yong Chun , Mehmet Akçakaya

The rapid advancement of diffusion models has significantly improved high-quality image generation, making generated content increasingly challenging to distinguish from real images and raising concerns about potential misuse. In this…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Beilin Chu , Xuan Xu , Xin Wang , Yufei Zhang , Weike You , Linna Zhou