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I propose a spatial-mode demultiplexing (SPADE) measurement scheme for the far-field imaging of spatially incoherent optical sources. For any object too small to be resolved by direct imaging under the diffraction limit, I show that SPADE…

Optics · Physics 2017-03-01 Mankei Tsang

Spherical deconvolution (SD) methods are widely used to estimate the intra-voxel white-matter fiber orientations from diffusion MRI data. However, while some of these methods assume a zero-mean Gaussian distribution for the underlying…

Intrinsic and experimental mechanisms frequently lead to broadening of spectral features in excited-state spectroscopies. For example, intrinsic broadening occurs in x-ray absorption spectroscopy (XAS) measurements of heavy elements where…

Materials Science · Physics 2009-11-13 T. T. Fister , G. T. Seidler , J. J. Rehr , J. J. Kas , W. T. Elam , J. O. Cross , K. P. Nagle

This paper develops a mathematical theory of super-resolution. Broadly speaking, super-resolution is the problem of recovering the fine details of an object---the high end of its spectrum---from coarse scale information only---from samples…

Information Theory · Computer Science 2012-11-15 Emmanuel Candes , Carlos Fernandez-Granda

Conventional super-resolution methods suffer from two drawbacks: substantial computational cost in upscaling an entire large image, and the introduction of extraneous or potentially detrimental information for downstream computer vision…

Computer Vision and Pattern Recognition · Computer Science 2023-12-12 Tianyi Zhang , Kishore Kasichainula , Yaoxin Zhuo , Baoxin Li , Jae-sun Seo , Yu Cao

Convolution is spatially-symmetric, i.e., the visual features are independent of its position in the image, which limits its ability to utilize contextual cues for visual recognition. This paper addresses this issue by introducing a…

Computer Vision and Pattern Recognition · Computer Science 2018-04-04 Yan Wang , Lingxi Xie , Siyuan Qiao , Ya Zhang , Wenjun Zhang , Alan L. Yuille

We consider the limits of super-resolution using imaging constraints. Due to various theoretical and practical limitations, reconstruction-based methods have been largely restricted to small increases in resolution. In addition, motion-blur…

Computer Vision and Pattern Recognition · Computer Science 2025-10-24 Gabby Litterio , Juan-David Lizarazo-Ferro , Pedro Felzenszwalb , Rashid Zia

Diffusion magnetic resonance imaging (dMRI) often suffers from low spatial and angular resolution due to inherent limitations in imaging hardware and system noise, adversely affecting the accurate estimation of microstructural parameters…

Image and Video Processing · Electrical Eng. & Systems 2025-01-28 Ruoyou Wu , Jian Cheng , Cheng Li , Juan Zou , Wenxin Fan , Hua Guo , Yong Liang , Shanshan Wang

Application of deconvolution algorithms to astronomical images is often limited by variations in PSF structure over the domain of the images. One major difficulty is that Fourier methods can no longer be used for fast convolutions over the…

Astrophysics · Physics 2009-11-07 Tod R. Lauer

The spatial resolution of images of living samples obtained by fluorescence microscopes is physically limited due to the diffraction of visible light, which makes the study of entities of size less than the diffraction barrier (around 200…

Image and Video Processing · Electrical Eng. & Systems 2023-03-21 Vasiliki Stergiopoulou , Subhadip Mukherjee , Luca Calatroni , Laure Blanc-Féraud

Two maximum likelihood-based algorithms for unfolding or deconvolution are considered: the Richardson-Lucy method and the Data Unfolding method with Mean Integrated Square Error (MISE) optimization [10]. Unfolding is viewed as a procedure…

Data Analysis, Statistics and Probability · Physics 2025-11-18 Nikolay D. Gagunashvili

We study the problem of deconvolution for light-sheet microscopy, where the data is corrupted by spatially varying blur and a combination of Poisson and Gaussian noise. The spatial variation of the point spread function (PSF) of a…

We present the deconvolution between two smooth function vectors as a Cauchy sequence of weight functions. From this we develop a Taylor series expansion of the convolution problem that leads to a non-local approximation for the…

Classical Analysis and ODEs · Mathematics 2015-12-01 Jack Dyson , Gianni Albertini

A point-spread function describes the optics of an imaging system and can be used to correct collected images for instrumental effects. The state of the art for deconvolving images with the point-spread function is the Richardson-Lucy…

Instrumentation and Methods for Astrophysics · Physics 2024-05-07 Stefan Johann Hofmeister

Image super-resolution (SR) research has witnessed impressive progress thanks to the advance of convolutional neural networks (CNNs) in recent years. However, most existing SR methods are non-blind and assume that degradation has a single…

Computer Vision and Pattern Recognition · Computer Science 2021-07-05 Jiahui Zhang , Shijian Lu , Fangneng Zhan , Yingchen Yu

Existing real-world super-resolution (RSR) methods based on generative priors have achieved remarkable progress in producing high-quality and globally consistent reconstructions. However, they often struggle to recover fine-grained details…

Computer Vision and Pattern Recognition · Computer Science 2026-03-26 Zixin Guo , Kai Zhao , Luyan Zhang

Optic deconvolution in light microscopy (LM) refers to recovering the object details from images, revealing the ground truth of samples. Traditional explicit methods in LM rely on the point spread function (PSF) during image acquisition.…

Quantitative Methods · Quantitative Biology 2026-03-24 Rui Li , Mikhail Kudryashev , Artur Yakimovich

Successful fine-grained image classification methods learn subtle details between visually similar (sub-)classes, but the problem becomes significantly more challenging if the details are missing due to low resolution. Encouraged by the…

Computer Vision and Pattern Recognition · Computer Science 2017-10-17 Dingding Cai , Ke Chen , Yanlin Qian , Joni-Kristian Kämäräinen

Look-up table(LUT)-based methods have shown the great efficacy in single image super-resolution (SR) task. However, previous methods ignore the essential reason of restricted receptive field (RF) size in LUT, which is caused by the…

Image and Video Processing · Electrical Eng. & Systems 2023-07-18 Guandu Liu , Yukang Ding , Mading Li , Ming Sun , Xing Wen , Bin Wang

We present a new method of removing PSF artifacts and improving the resolution of multidimensional data sources including imagers and spectrographs. Rather than deconvolution, which is translationally invariant, this method is based on…