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Spectral unmixing methods incorporating spatial regularizations have demonstrated increasing interest. Although spatial regularizers which promote smoothness of the abundance maps have been widely used, they may overly smooth these maps…

Image and Video Processing · Electrical Eng. & Systems 2018-08-01 Tatsumi Uezato , Mathieu Fauvel , Nicolas Dobigeon

Ptychography is a coherent diffraction imaging method that uses phase retrieval techniques to reconstruct complex-valued images. It achieves this by sequentially illuminating overlapping regions of a sample with a coherent beam and…

Image and Video Processing · Electrical Eng. & Systems 2024-12-04 Alexander Denker , Johannes Hertrich , Zeljko Kereta , Silvia Cipiccia , Ecem Erin , Simon Arridge

A standard model for image reconstruction involves the minimization of a data-fidelity term along with a regularizer, where the optimization is performed using proximal algorithms such as ISTA and ADMM. In plug-and-play (PnP)…

Optimization and Control · Mathematics 2021-04-22 Pravin Nair , Ruturaj G. Gavaskar , Kunal N. Chaudhury

Over the past decade, Plug-and-Play (PnP) has become a popular method for reconstructing images using a modular framework consisting of a forward and prior model. The great strength of PnP is that an image denoiser can be used as a prior…

Computer Vision and Pattern Recognition · Computer Science 2023-06-14 Charles A. Bouman , Gregery T. Buzzard

Spectral unmixing (SU) is a technique to characterize mixed pixels in hyperspectral images measured by remote sensors. Most of the spectral unmixing algorithms are developed using the linear mixing models. To estimate endmembers and…

Computer Vision and Pattern Recognition · Computer Science 2019-02-21 Sara Khoshsokhan , Roozbeh Rajabi , Hadi Zayyani

Plug & Play methods combine proximal algorithms with denoiser priors to solve inverse problems. These methods rely on the computability of the proximal operator of the data fidelity term. In this paper, we propose a Plug & Play framework…

Computer Vision and Pattern Recognition · Computer Science 2024-05-24 Charles Laroche , Andrés Almansa , Eva Coupeté , Matias Tassano

Hyperspectral anomaly detection refers to identifying pixels in the hyperspectral images that have spectral characteristics significantly different from the background. In this paper, we introduce a novel model that represents the…

Optimization and Control · Mathematics 2025-07-25 Xiaoxia Liu , Shijie YU

One key ingredient of image restoration is to define a realistic prior on clean images to complete the missing information in the observation. State-of-the-art restoration methods rely on a neural network to encode this prior. Typical image…

Image and Video Processing · Electrical Eng. & Systems 2025-11-14 Marien Renaud , Eliot Guez , Arthur Leclaire , Nicolas Papadakis

In hyperspectral images, some spectral bands suffer from low signal-to-noise ratio due to noisy acquisition and atmospheric effects, thus requiring robust techniques for the unmixing problem. This paper presents a robust supervised spectral…

Machine Learning · Statistics 2017-10-11 Fei Zhu , Abderrahim Halimi , Paul Honeine , Badong Chen , Nanning Zheng

This paper presents a new convergent Plug-and-Play (PnP) algorithm. PnP methods are efficient iterative algorithms for solving image inverse problems formulated as the minimization of the sum of a data-fidelity term and a regularization…

Machine Learning · Statistics 2023-04-06 Samuel Hurault , Antonin Chambolle , Arthur Leclaire , Nicolas Papadakis

Achieving high-quality Magnetic Resonance Imaging (MRI) reconstruction at accelerated acquisition rates remains challenging due to the inherent ill-posed nature of the inverse problem. Traditional Compressed Sensing (CS) methods, while…

Image and Video Processing · Electrical Eng. & Systems 2024-11-05 Pierre-Antoine Comby , Benjamin Lapostolle , Matthieu Terris , Philippe Ciuciu

Regularized optimization has been a classical approach to solving imaging inverse problems, where the regularization term enforces desirable properties of the unknown image. Recently, the integration of flow matching generative models into…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Ji Li , Chao Wang

Plug-and-play (PnP) denoising is a popular iterative framework for solving imaging inverse problems using off-the-shelf image denoisers. Their empirical success has motivated a line of research that seeks to understand the convergence of…

Numerical Analysis · Mathematics 2023-07-19 Andreas Hauptmann , Subhadip Mukherjee , Carola-Bibiane Schönlieb , Ferdia Sherry

Hyperspectral images provide much more information than conventional imaging techniques, allowing a precise identification of the materials in the observed scene, but because of the limited spatial resolution, the observations are usually…

Image and Video Processing · Electrical Eng. & Systems 2019-03-29 Lucas Drumetz , Travis R. Meyer , Jocelyn Chanussot , Andrea L. Bertozzi , Christian Jutten

Deep-unrolling and plug-and-play (PnP) approaches have become the de-facto standard solvers for single-pixel imaging (SPI) inverse problem. PnP approaches, a class of iterative algorithms where regularization is implicitly performed by an…

Image and Video Processing · Electrical Eng. & Systems 2025-05-30 Ping Wang , Lishun Wang , Gang Qu , Xiaodong Wang , Yulun Zhang , Xin Yuan

The plug-and-play (PnP) method uses a deep denoiser within a proximal algorithm for model-based image reconstruction (IR). Unlike end-to-end IR, PnP allows the same pretrained denoiser to be used across different imaging tasks, without the…

Image and Video Processing · Electrical Eng. & Systems 2025-08-05 Arghya Sinha , Trishit Mukherjee , Kunal N. Chaudhury

Mixed pixels are presented in hyperspectral images due to low spatial resolution of hyperspectral sensors. Spectral unmixing decomposes mixed pixels spectra into endmembers spectra and abundance fractions. In this paper using of robust…

Computer Vision and Pattern Recognition · Computer Science 2012-12-06 Roozbeh Rajabi , Hassan Ghassemian

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

Plug-and-play priors (PnP) is a popular framework for regularized signal reconstruction by using advanced denoisers within an iterative algorithm. In this paper, we discuss our recent online variant of PnP that uses only a subset of…

Signal Processing · Electrical Eng. & Systems 2018-11-12 Yu Sun , Brendt Wohlberg , Ulugbek S. Kamilov

State-space models (SSM) are common in signal processing, where Kalman smoothing (KS) methods are state-of-the-art. However, traditional KS techniques lack expressivity as they do not incorporate spatial prior information. Recently, [1]…

Image and Video Processing · Electrical Eng. & Systems 2026-02-16 Benjamin Hawkes , Mike Davies , Victor Elvira , Audrey Repetti