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Stacking analysis is a means of detecting faint sources using a priori position information to estimate an aggregate signal from individually undetected objects. Confusion severely limits the effectiveness of stacking in deep surveys with…

Instrumentation and Methods for Astrophysics · Physics 2015-05-14 Peter Kurczynski , Eric Gawiser

Some audio declipping methods produce waveforms that do not fully respect the physical process of clipping, which is why we refer to them as inconsistent. This letter reports what effect on perception it has if the solution by inconsistent…

Audio and Speech Processing · Electrical Eng. & Systems 2023-03-08 Pavel Záviška , Pavel Rajmic , Ondřej Mokrý

The state of the art in audio declipping has currently been achieved by SPADE (SParse Audio DEclipper) algorithm by Kiti\'c et al. Until now, the synthesis/sparse variant, S-SPADE, has been considered significantly slower than its…

Audio and Speech Processing · Electrical Eng. & Systems 2018-07-19 Pavel Záviška , Pavel Rajmic , Zdeněk Průša , Vítězslav Veselý

This paper studies sparse super-resolution in arbitrary dimensions. More precisely, it develops a theoretical analysis of support recovery for the so-called BLASSO method, which is an off-the-grid generalisation of l1 regularization (also…

Numerical Analysis · Mathematics 2017-09-12 Clarice Poon , Gabriel Peyré

Balanced homodyning, heterodyning and unbalanced homodyning are the three well-known sampling techniques used in quantum optics to characterize all possible photonic sources in continuous-variable quantum information theory. We show that…

Quantum Physics · Physics 2019-07-31 Yong Siah Teo , Hyunseok Jeong , Luis L. Sanchez-Soto

Hyperspectral imaging has the potential to improve intraoperative decision making if tissue characterisation is performed in real-time and with high-resolution. Hyperspectral snapshot mosaic sensors offer a promising approach due to their…

Image and Video Processing · Electrical Eng. & Systems 2023-03-27 Peichao Li , Muhammad Asad , Conor Horgan , Oscar MacCormac , Jonathan Shapey , Tom Vercauteren

In this article, we provide an alternative up-sampling and PSF deconvolution method for the iterative multi-exposure coaddition. Different from the previous works, the new method has a ratio-correction term, which allows the iterations to…

Instrumentation and Methods for Astrophysics · Physics 2022-10-26 Lei Wang , Guoliang Li , Xi Kang

Removing the aberrations introduced by the Point Spread Function (PSF) is a fundamental aspect of astronomical image processing. The presence of noise in observed images makes deconvolution a nontrivial task that necessitates the use of…

Instrumentation and Methods for Astrophysics · Physics 2017-05-03 Samuel Farrens , Jean-Luc Starck , Fred Maurice Ngolè Mboula

Sparse hyperspectral unmixing from large spectral libraries has been considered to circumvent limitations of endmember extraction algorithms in many applications. This strategy often leads to ill-posed inverse problems, which can benefit…

Computer Vision and Pattern Recognition · Computer Science 2018-10-29 Ricardo Augusto Borsoi , Tales Imbiriba , José Carlos Moreira Bermudez , Cédric Richard

We study the problem of passive imaging through convolutive channels. A scene is illuminated with an unknown, unstructured source, and the measured response is the convolution of this source with multiple channel responses, each of which is…

Information Theory · Computer Science 2017-08-25 Kiryung Lee , Felix Krahmer , Justin Romberg

We study an inverse problem where an unknown radiating source is observed with collimated detectors along a single line and the medium has a known attenuation. The research is motivated by applications in SPECT and beam hardening. If…

Functional Analysis · Mathematics 2020-11-10 Tommi Brander , Joonas Ilmavirta , Petteri Piiroinen , Teemu Tyni

We consider the problem of super-resolving the line spectrum of a multisinusoidal signal from a finite number of samples, some of which may be completely corrupted. Measurements of this form can be modeled as an additive mixture of a…

Optimization and Control · Mathematics 2017-03-23 Carlos Fernandez-Granda , Gongguo Tang , Xiaodong Wang , Le Zheng

Diffusion models have proven effective for various applications such as images, audio and graph generation. Other important applications are image super-resolution and the solution of inverse problems. More recently, some works have used…

Computer Vision and Pattern Recognition · Computer Science 2023-01-02 Marcelo dos Santos , Rayson Laroca , Rafael O. Ribeiro , João Neves , Hugo Proença , David Menotti

This paper employs a recently developed asymptotic Bayesian multi-hypothesis testing (MHT) error analysis to treat the problem of superresolution imaging of a pair of closely spaced, equally bright point sources. The analysis exploits the…

Optics · Physics 2015-06-19 Sudhakar Prasad

Accurately estimating scene lighting is critical for applications such as mixed reality. Existing works estimate illumination by generating illumination maps or regressing illumination parameters. However, the method of generating…

Computer Vision and Pattern Recognition · Computer Science 2024-04-22 Xinlong Ji , Fangneng Zhan , Shijian Lu , Shi-Sheng Huang , Hua Huang

Data used in image segmentation are not always defined on the same grid. This is particularly true for medical images, where the resolution, field-of-view and orientation can differ across channels and subjects. Images and labels are…

Image and Video Processing · Electrical Eng. & Systems 2022-06-16 Mikael Brudfors , Yael Balbastre , John Ashburner , Geraint Rees , Parashkev Nachev , Sebastien Ourselin , M. Jorge Cardoso

Ultrasound imaging is widely used for real-time, noninvasive diagnosis, but speckle and related artifacts reduce image quality and can hinder interpretation. We present a diffusion-based ultrasound despeckling method built on the Image…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Shuoqi Chen , Yujia Wu , Geoffrey P. Luke

Multimodal remote sensing technology significantly enhances the understanding of surface semantics by integrating heterogeneous data such as optical images, Synthetic Aperture Radar (SAR), and Digital Surface Models (DSM). However, in…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Tong Wang , Xiaodong Zhang , Guanzhou Chen , Jiaqi Wang , Chenxi Liu , Xiaoliang Tan , Wenchao Guo , Xuyang Li , Xuanrui Wang , Zifan Wang

We investigate the recovery of nodes and amplitudes from noisy frequency samples in spike train signals, also known as the super-resolution (SR) problem. When the node separation falls below the Rayleigh limit, the problem becomes…

Numerical Analysis · Mathematics 2025-02-11 Nuha Diab

In this paper, we address the problem of recovering point sources from two dimensional low-pass measurements, which is known as super-resolution problem. This is the fundamental concern of many applications such as electronic imaging,…

Information Theory · Computer Science 2019-05-17 Iman Valiulahi , Sajad Daei , Farzan Haddadi , Farzad Parvaresh