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We consider the problem of fusing an arbitrary number of multiband, i.e., panchromatic, multispectral, or hyperspectral, images belonging to the same scene. We use the well-known forward observation and linear mixture models with Gaussian…

计算机视觉与模式识别 · 计算机科学 2018-07-19 Reza Arablouei

Primal-dual splitting involving proximity operators in order to be able to find some approximation to the minimizer for a general form of Tikhonov type functional is in the focus of this work. This approximation is produced by a pair of…

数值分析 · 数学 2019-03-19 Erdem Altuntac

Restore lost images due to noise and blurred is a burgeoning subject in image processing and despite the different algorithms on this subject, but the effort to improve is always considered. The definition of fractional derivatives in…

信息论 · 计算机科学 2021-10-29 Reza Parvaz

Regularization approaches have demonstrated their effectiveness for solving ill-posed problems. However, in the context of variational restoration methods, a challenging question remains, which is how to find a good regularizer. While total…

最优化与控制 · 数学 2011-10-25 Nelly Pustelnik , Caroline Chaux , Jean-Christophe Pesquet

The total variation filtering technique emerges as a highly effective strategy for restoring signals with discontinuities in various parts of their structure. This study presents and implements a one-dimensional signal filtering algorithm…

最优化与控制 · 数学 2024-10-14 Joyce Oliveira dos Santos , Francisco Márcio Barboza

In this paper we present a novel iterative procedure for multichannel image and data reconstruction using Bregman distances. With the motivation that multiple channels sharing a common subgradient with respect to a suitable regularization…

数值分析 · 数学 2014-12-18 Michael Moeller , Eva-Maria Brinkmann , Martin Burger , Tamara Seybold

In dynamic imaging, a key challenge is to reconstruct image sequences with high temporal resolution from strong undersampling projections due to a relatively slow data acquisition speed. In this paper, we propose a variational model using…

数值分析 · 数学 2018-01-22 Qiaoqiao Ding , Martin Burger , Xiaoqun Zhang

Multiplicative noise models are often used instead of additive noise models in cases in which the noise variance depends on the state. Furthermore, when Poisson distributions with relatively small counts are approximated with normal…

最优化与控制 · 数学 2018-06-08 Ruanui Nicholson , Jari P. Kaipio

Speckle noise suppression is a challenging and crucial pre-processing stage for higher-level image analysis. In this work, a new attempt has been made using telegraph total variation equation and fuzzy set theory for speckle noise…

图像与视频处理 · 电气工程与系统科学 2019-08-07 Sudeb Majee , Subit K Jain , Rajendra K Ray , Ananta K Majee

Multilook coherent imaging is a widely used technique in applications such as digital holography, ultrasound imaging, and synthetic aperture radar. A central challenge in these systems is the presence of multiplicative noise, commonly known…

机器学习 · 统计学 2025-05-30 Xi Chen , Soham Jana , Christopher A. Metzler , Arian Maleki , Shirin Jalali

The Multiscale Hierarchical Decomposition Method (MHDM) was introduced as an iterative method for total variation regularization, with the aim of recovering details at various scales from images corrupted by additive or multiplicative…

数值分析 · 数学 2023-09-28 Stefan Kindermann , Elena Resmerita , Tobias Wolf

The joint problem of reconstruction / feature extraction is a challenging task in image processing. It consists in performing, in a joint manner, the restoration of an image and the extraction of its features. In this work, we firstly…

计算机视觉与模式识别 · 计算机科学 2024-03-06 Emilie Chouzenoux , Marie-Caroline Corbineau , Jean-Christophe Pesquet , Gabriele Scrivanti

Reconstruction of images corrupted by noise is an important problem in Image Analysis. In the standard Bayesian approach the unknown original image is assumed to be a realization of a Markov random field on a finite two dimensional finite…

统计理论 · 数学 2007-07-02 Pablo A. Ferrari , Marco D. Gubitoso , E. Jordao Neves

This paper investigates a fully unsupervised statistical method for edge preserving image restoration and compression using a spatial decomposition scheme. Smoothed maximum likelihood is used for local estimation of edge pixels from mixture…

统计方法学 · 统计学 2016-11-26 Kinjal Basu , Debapriya Sengupta

Light spectra are a very important source of information for diverse classification problems, e.g., for discrimination of materials. To lower the cost for acquiring this information, multispectral cameras are used. Several techniques exist…

图像与视频处理 · 电气工程与系统科学 2022-09-19 Frank Sippel , Jürgen Seiler , Nils Genser , André Kaup

Blind image restoration (IR) is a common yet challenging problem in computer vision. Classical model-based methods and recent deep learning (DL)-based methods represent two different methodologies for this problem, each with their own…

图像与视频处理 · 电气工程与系统科学 2024-05-02 Zongsheng Yue , Hongwei Yong , Qian Zhao , Lei Zhang , Deyu Meng , Kwan-Yee K. Wong

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…

计算机视觉与模式识别 · 计算机科学 2024-01-25 Luciano Carvalho Ayres , Ricardo Augusto Borsoi , José Carlos Moreira Bermudez , Sérgio José Melo de Almeida

In order to determine the 3D structure of a thick sample, researchers have recently combined ptychography (for high resolution) and tomography (for 3D imaging) in a single experiment. 2-step methods are usually adopted for reconstruction,…

图像与视频处理 · 电气工程与系统科学 2020-07-21 Huibin Chang , Pablo Enfedaque , Stefano Marchesini

We consider the estimation of the regularization parameter for the simultaneous deblurring of multiple noisy images via Tikhonov regularization. We approach the problem in three ways. We first reduce the problem to a single-image deblurring…

天体物理学 · 物理学 2009-11-10 R. Vio , P. Ma , W. Zhong , J. Nagy , L. Tenorio , W. Wamsteker

Despite its wide use in medicine, ultrasound imaging faces several challenges related to its poor signal-to-noise ratio and several sources of noise and artefacts. Enhancing ultrasound image quality involves balancing concurrent factors…

计算机视觉与模式识别 · 计算机科学 2024-10-28 Yuxin Zhang , Clément Huneau , Jérôme Idier , Diana Mateus