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Permutation synchronization is an important problem in computer science that constitutes the key step of many computer vision tasks. The goal is to recover $n$ latent permutations from their noisy and incomplete pairwise measurements. In…

Statistics Theory · Mathematics 2024-05-13 Duc Nguyen , Anderson Ye Zhang

This paper presents a new Bayesian model and algorithm for nonlinear unmixing of hyperspectral images. The model proposed represents the pixel reflectances as linear combinations of the endmembers, corrupted by nonlinear (with respect to…

Methodology · Statistics 2015-10-06 Yoann Altmann , Marcelo Pereyra , Stephen McLaughlin

In this paper, we propose a novel approach to hyperspectral image super-resolution by modeling the global spatial-and-spectral correlation and local smoothness properties over hyperspectral images. Specifically, we utilize the tensor…

Computer Vision and Pattern Recognition · Computer Science 2016-01-26 Shiying He , Haiwei Zhou , Yao Wang , Wenfei Cao , Zhi Han

Hyperspectral image (HSI) super-resolution is commonly used to overcome the hardware limitations of existing hyperspectral imaging systems on spatial resolution. It fuses a low-resolution (LR) HSI and a high-resolution (HR) conventional…

Image and Video Processing · Electrical Eng. & Systems 2021-04-27 Xiuheng Wang , Jie Chen , Qi Wei , Cédric Richard

Hyperspectral super-resolution (HSR) is a problem that aims to estimate an image of high spectral and spatial resolutions from a pair of co-registered multispectral (MS) and hyperspectral (HS) images, which have coarser spectral and spatial…

Image and Video Processing · Electrical Eng. & Systems 2020-10-28 Ruiyuan Wu , Wing-Kin Ma , Xiao Fu , Qiang Li

Hyperspectral image (HSI) has some advantages over natural image for various applications due to the extra spectral information. During the acquisition, it is often contaminated by severe noises including Gaussian noise, impulse noise,…

Image and Video Processing · Electrical Eng. & Systems 2020-07-03 Zhen Long , Yipeng Liu , Sixing Zeng , Jiani Liu , Fei Wen , Ce Zhu

The dissection of hyperspectral images into intrinsic components through hyperspectral intrinsic image decomposition (HIID) enhances the interpretability of hyperspectral data, providing a foundation for more accurate classification…

Computer Vision and Pattern Recognition · Computer Science 2023-11-28 Zhiqiang Gong , Xian Zhou , Wen Yao , Xiaohu Zheng , Ping Zhong

We develop an interpolation-based modeling framework for parameter-dependent partial differential equations arising in control, inverse problems, and uncertainty quantification. The solution is discretized in the physical domain using…

Numerical Analysis · Mathematics 2026-04-20 Erik Burman , Mats G. Larson , Karl Larsson , Jonatan Vallin

We develop a fast solver for the spectral element method (SEM) applied to the two-sided fractional diffusion equation on uniform, geometric and graded meshes. By approximating the singular kernel with a degenerate kernel, we construct a…

Numerical Analysis · Mathematics 2018-08-10 Xianjuan Li , Zhiping Mao , Fangying Song , Hong Wang , George Em Karniadakis

Learning the manifold structure of remote sensing images is of paramount relevance for modeling and understanding processes, as well as to encapsulate the high dimensionality in a reduced set of informative features for subsequent…

Computer Vision and Pattern Recognition · Computer Science 2022-05-04 Gulsen Taskin , Gustau Camps-Valls

To overcome inherent hardware limitations of hyperspectral imaging systems with respect to their spatial resolution, fusion-based hyperspectral image (HSI) super-resolution is attracting increasing attention. This technique aims to fuse a…

Image and Video Processing · Electrical Eng. & Systems 2022-01-25 Xiuheng Wang , Jie Chen , Cédric Richard

This paper presents a nonlinear mixing model for joint hyperspectral image unmixing and nonlinearity detection. The proposed model assumes that the pixel reflectances are linear combinations of known pure spectral components corrupted by an…

Methodology · Statistics 2015-06-16 Yoann Altmann , Nicolas Dobigeon , Steve McLaughlin , Jean-Yves Tourneret

When considering the problem of unmixing hyperspectral images, most of the literature in the geoscience and image processing areas relies on the widely used linear mixing model (LMM). However, the LMM may be not valid and other nonlinear…

Data Analysis, Statistics and Probability · Physics 2015-06-15 Nicolas Dobigeon , Jean-Yves Tourneret , Cédric Richard , José C. M. Bermudez , Stephen McLaughlin , Alfred O. Hero

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 address hyperspectral image (HSI) synthesis, a problem that has garnered growing interest yet remains constrained by the conditional generative paradigms that limit sample diversity. While diffusion models have emerged as a…

Computer Vision and Pattern Recognition · Computer Science 2025-08-20 Shiyu Shen , Bin Pan , Ziye Zhang , Zhenwei Shi

While Spectral Methods have long been used for Principal Component Analysis, this survey focusses on work over the last 15 years with three salient features: (i) Spectral methods are useful not only for numerical problems, but also discrete…

Data Structures and Algorithms · Computer Science 2010-04-09 Ravindran Kannan

This paper addresses the fusion of a pair of spatially unregistered hyperspectral image (HSI) and multispectral image (MSI) covering roughly overlapping regions. HSIs offer high spectral but low spatial resolution, while MSIs provide the…

Image and Video Processing · Electrical Eng. & Systems 2026-04-02 Jiahui Song , Sagar Shrestha , Xiao Fu

The development of signal unmixing algorithms is essential for leveraging multimodal datasets acquired through a wide array of scientific imaging technologies, including hyperspectral or time-resolved acquisitions. In experimental physics,…

We consider the problem of jointly modeling and clustering populations of tensors by introducing a high-dimensional tensor mixture model with heterogeneous covariances. To effectively tackle the high dimensionality of tensor objects, we…

Methodology · Statistics 2024-11-21 Biao Cai , Jingfei Zhang , Will Wei Sun

Hyperspectral remote sensing images (HSIs) usually have high spectral resolution and low spatial resolution. Conversely, multispectral images (MSIs) usually have low spectral and high spatial resolutions. The problem of inferring images…

Computer Vision and Pattern Recognition · Computer Science 2015-06-23 Miguel Simões , José Bioucas-Dias , Luis B. Almeida , Jocelyn Chanussot