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We present a pursuit-like algorithm that we call the "superset method" for recovery of sparse vectors from consecutive Fourier measurements in the super-resolution regime. The algorithm has a subspace identification step that hinges on the…

Information Theory · Computer Science 2013-06-11 Laurent Demanet , Deanna Needell , Nam Nguyen

Optimization-based filtering smoothes an image by minimizing a fidelity function and simultaneously preserves edges by exploiting a sparse norm penalty over gradients. It has obtained promising performance in practical problems, such as…

Graphics · Computer Science 2013-05-20 Chengxi Ye , Dacheng Tao , Mingli Song , David W. Jacobs , Min Wu

Hyperspectral imaging offers new perspectives for diverse applications, ranging from the monitoring of the environment using airborne or satellite remote sensing, precision farming, food safety, planetary exploration, or astrophysics.…

Image and Video Processing · Electrical Eng. & Systems 2021-11-19 Théo Bodrito , Alexandre Zouaoui , Jocelyn Chanussot , Julien Mairal

Hyperspectral images are crucial for many research works. Spectral super-resolution (SSR) is a method used to obtain high spatial resolution (HR) hyperspectral images from HR multispectral images. Traditional SSR methods include…

Image and Video Processing · Electrical Eng. & Systems 2020-12-09 Jiang He , Jie Li , Qiangqiang Yuan , Huanfeng Shen , Liangpei Zhang

For high dimensional sparse linear regression problems, we propose a sequential convex relaxation algorithm (iSCRA-TL1) by solving inexactly a sequence of truncated $\ell_1$-norm regularized minimization problems, in which the working index…

Statistics Theory · Mathematics 2024-11-05 Shujun Bi , Yonghua Yang , Shaohua Pan

Spectral-spatial classification of hyperspectral images has been the subject of many studies in recent years. In the presence of only very few labeled pixels, this task becomes challenging. In this paper we address the following two…

Computer Vision and Pattern Recognition · Computer Science 2018-07-24 Jacopo Acquarelli , Elena Marchiori , Lutgarde M. C. Buydens , Thanh Tran , Twan van Laarhoven

Hyperspectral images show similar statistical properties to natural grayscale or color photographic images. However, the classification of hyperspectral images is more challenging because of the very high dimensionality of the pixels and…

Computer Vision and Pattern Recognition · Computer Science 2015-04-13 Gustavo Camps-Valls , Devis Tuia , Lorenzo Bruzzone , Jón Atli Benediktsson

Extensive attention has been widely paid to enhance the spatial resolution of hyperspectral (HS) images with the aid of multispectral (MS) images in remote sensing. However, the ability in the fusion of HS and MS images remains to be…

Image and Video Processing · Electrical Eng. & Systems 2020-07-29 Lianru Gao , Danfeng Hong , Jing Yao , Bing Zhang , Paolo Gamba , Jocelyn Chanussot

Hyperspectral imaging sensors are becoming increasingly popular in robotics applications such as agriculture and mining, and allow per-pixel thematic classification of materials in a scene based on their unique spectral signatures.…

Computer Vision and Pattern Recognition · Computer Science 2016-11-29 Lloyd Windrim , Rishi Ramakrishnan , Arman Melkumyan , Richard Murphy

Shuffled linear regression (SLR) seeks to estimate latent features through a linear transformation, complicated by unknown permutations in the measurement dimensions. This problem extends traditional least-squares (LS) and Least Absolute…

Statistics Theory · Mathematics 2025-04-17 Hang Liu , Anna Scaglione

Spectral Clustering (SC) is one of the most widely used methods for data clustering. It first finds a low-dimensonal embedding $U$ of data by computing the eigenvectors of the normalized Laplacian matrix, and then performs k-means on…

Computer Vision and Pattern Recognition · Computer Science 2018-05-29 Canyi Lu , Shuicheng Yan , Zhouchen Lin

Convolutional neural networks (CNNs) have been applied to learn spatial features for high-resolution (HR) synthetic aperture radar (SAR) image classification. However, there has been little work on integrating the unique statistical…

Computer Vision and Pattern Recognition · Computer Science 2022-05-04 Wenkai Liang , Yan Wu , Ming Li , Peng Zhang , Yice Cao , Xin Hu

Let $x\in\mathbb{C}^n$ be a spectrally sparse signal consisting of $r$ complex sinusoids with or without damping. We consider the spectral compressed sensing problem, which is about reconstructing $x$ from its partial revealed entries. By…

Optimization and Control · Mathematics 2017-08-01 Jian-Feng Cai , Tianming Wang , Ke Wei

Nowadays, hyperspectral image classification widely copes with spatial information to improve accuracy. One of the most popular way to integrate such information is to extract hierarchical features from a multiscale segmentation. In the…

Computer Vision and Pattern Recognition · Computer Science 2016-06-17 Yanwei Cui , Laetitia Chapel , Sébastien Lefèvre

Image interpolation is a special case of image super-resolution, where the low-resolution image is directly down-sampled from its high-resolution counterpart without blurring and noise. Therefore, assumptions adopted in super-resolution…

Image and Video Processing · Electrical Eng. & Systems 2020-10-28 Junchao Zhang

Subspace clustering is a powerful unsupervised approach for hyperspectral image (HSI) analysis, but its high computational and memory costs limit scalability. Superpixel segmentation can improve efficiency by reducing the number of data…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Xianlu Li , Nicolas Nadisic , Shaoguang Huang , Aleksandra Pizurica

We propose two sparsity-aware normalized subband adaptive filter (NSAF) algorithms by using the gradient descent method to minimize a combination of the original NSAF cost function and the l1-norm penalty function on the filter…

Signal Processing · Electrical Eng. & Systems 2018-10-18 Y. Yu , H. Zhao , R. C. de Lamare

This paper proposes a novel two-stage method for the classification of hyperspectral images. Pixel-wise classifiers, such as the classical support vector machine (SVM), consider spectral information only; therefore they would generate noisy…

Image and Video Processing · Electrical Eng. & Systems 2018-06-05 Raymond H. Chan , Kelvin K. Kan , Mila Nikolova , Robert J. Plemmons

This work proposes an adaptive trace lasso regularized L1-norm based graph cut method for dimensionality reduction of Hyperspectral images, called as `Trace Lasso-L1 Graph Cut' (TL-L1GC). The underlying idea of this method is to generate…

Computer Vision and Pattern Recognition · Computer Science 2018-07-30 Ramanarayan Mohanty , S L Happy , Nilesh Suthar , Aurobinda Routray

Compressed sensing aims at reconstructing sparse signals from significantly reduced number of samples, and a popular reconstruction approach is $\ell_1$-norm minimization. In this correspondence, a method called orthonormal expansion is…

Information Theory · Computer Science 2015-05-30 Zai Yang , Cishen Zhang , Jun Deng , Wenmiao Lu
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