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For a linear matrix function $f$ in $X \in \R^{m\times n}$ we consider inhomogeneous linear matrix equations $f(X) = E$ for $E \neq 0$ that have or do not have solutions. For such systems we compute optimal norm constrained solutions…

Numerical Analysis · Mathematics 2021-08-03 Frank Uhlig , An-Bao Xu

Hyperspectral remote sensing is a prominent research topic in data processing. Most of the spectral unmixing algorithms are developed by adopting the linear mixing models. Nonnegative matrix factorization (NMF) and its developments are used…

Computer Vision and Pattern Recognition · Computer Science 2018-12-31 Sara Khoshsokhan , Roozbeh Rajabi , Hadi Zayyani

In this paper we introduce a method for nonparametric density estimation on geometric networks. We define fused density estimators as solutions to a total variation regularized maximum-likelihood density estimation problem. We provide…

Methodology · Statistics 2018-12-06 Robert Bassett , James Sharpnack

Pansharpening aims at fusing a panchromatic image with a multispectral one, to generate an image with the high spatial resolution of the former and the high spectral resolution of the latter. In the last decade, many algorithms have been…

Infrared and visible image fusion has been a hot issue in image fusion. In this task, a fused image containing both the gradient and detailed texture information of visible images as well as the thermal radiation and highlighting targets of…

Computer Vision and Pattern Recognition · Computer Science 2020-09-04 Zixiang Zhao , Shuang Xu , Chunxia Zhang , Junmin Liu , Jiangshe Zhang

Rapid growth in the field of quantitative digital image analysis is paving the way for researchers to make precise measurements about objects in an image. To compute quantities from the image such as the density of compressed materials or…

Computer Vision and Pattern Recognition · Computer Science 2017-07-31 Marylesa Howard , Margaret C. Hock , B. T. Meehan , Leora Dresselhaus-Cooper

Natural images tend to mostly consist of smooth regions with individual pixels having highly correlated spectra. This information can be exploited to recover hyperspectral images of natural scenes from their incomplete and noisy…

Computer Vision and Pattern Recognition · Computer Science 2016-11-03 Reza Arablouei , Frank de Hoog

Spectral variability is one of the major issue when conducting hyperspectral unmixing. Within a given image composed of some elementary materials (herein referred to as endmember classes), the spectral signature characterizing these classes…

Image and Video Processing · Electrical Eng. & Systems 2019-06-26 Tatsumi Uezato , Mathieu Fauvel , Nicolas Dobigeon

Unsupervised change detection techniques are generally constrained to two multi-band optical images acquired at different times through sensors sharing the same spatial and spectral resolution. This scenario is suitable for a straight…

Image and Video Processing · Electrical Eng. & Systems 2018-04-10 Vinicius Ferraris , Nicolas Dobigeon , Marie Chabert

Hyperspectral analysis has gained popularity over recent years as a way to infer what materials are displayed on a picture whose pixels consist of a mixture of spectral signatures. Computing both signatures and mixture coefficients is known…

Optimization and Control · Mathematics 2017-06-29 Adrien Faivre , Clément Dombry

Owing to the edge preserving ability and low computational cost of the total variation (TV), variational models with the TV regularization have been widely investigated in the field of multiplicative noise removal. The key points of the…

Computer Vision and Pattern Recognition · Computer Science 2015-03-18 Dai-Qiang Chen , Li-Zhi Cheng

Deploying depth estimation networks in the real world requires high-level robustness against various adverse conditions to ensure safe and reliable autonomy. For this purpose, many autonomous vehicles employ multi-modal sensor systems,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Ukcheol Shin , Kyunghyun Lee , Jean Oh

We propose a federated algorithm for reconstructing images using multimodal tomographic data sourced from dispersed locations, addressing the challenges of traditional unimodal approaches that are prone to noise and reduced image quality.…

Optimization and Control · Mathematics 2025-01-13 Geunyeong Byeon , Minseok Ryu , Zichao Wendy Di , Kibaek Kim

Multimodal image fusion aims to combine relevant information from images acquired with different sensors. In medical imaging, fused images play an essential role in both standard and automated diagnosis. In this paper, we propose a novel…

Computer Vision and Pattern Recognition · Computer Science 2021-02-18 Farshad G. Veshki , Nora Ouzir , Sergiy A. Vorobyov , Esa Ollila

Neuroimaging is the growing area of neuroscience devoted to produce data with the goal of capturing processes and dynamics of the human brain. We consider the problem of inferring the brain connectivity network from time dependent…

Methodology · Statistics 2021-05-28 Saverio Ranciati , Alberto Roverato , Alessandra Luati

In hyperspectral sparse unmixing, a successful approach employs spectral bundles to address the variability of the endmembers in the spatial domain. However, the regularization penalties usually employed aggregate substantial computational…

Computer Vision and Pattern Recognition · Computer Science 2024-01-25 Luciano Carvalho Ayres , Ricardo Augusto Borsoi , José Carlos Moreira Bermudez , Sérgio José Melo de Almeida

It is challenging to align multi-exposed images due to large illumination variations, especially in presence of saturated regions. In this paper, a novel image alignment algorithm is proposed to cope with the multi-exposed images with…

Image and Video Processing · Electrical Eng. & Systems 2020-12-22 Jun Jiang , Zhengguo Li , Shoulie Xie , Shiqian Wu , Liangcai Zeng

In order to improve classification accuracy different image representations are usually combined. This can be done by using two different fusing schemes. In feature level fusion schemes, image representations are combined before the…

Computer Vision and Pattern Recognition · Computer Science 2012-07-17 Can Demirkesen , Hocine Cherifi

In this paper, we study the MUltiple SIgnal Classification (MUSIC) algorithm often used to image small targets when multiple measurement vectors are available. We show that this algorithm may be used when the imaging problem can be cast as…

Numerical Analysis · Mathematics 2019-01-23 Miguel Moscoso , Alexei Novikov , George Papanicolaou , Chrysoula Tsogka

A novel multi-focus image fusion algorithm performed in spatial domain based on similarity characteristics is proposed incorporating with region segmentation. In this paper, a new similarity measure is developed based on the structural…

Computer Vision and Pattern Recognition · Computer Science 2022-02-01 Ya-Qiong Zhang , Xiao-Jun Wu , Hui Li