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In the context of optical interferometry, only undersampled power spectrum and bispectrum data are accessible. It poses an ill-posed inverse problem for image recovery. Recently, a tri-linear model was proposed for monochromatic imaging,…

天体物理仪器与方法 · 物理学 2017-07-11 Jasleen Birdi , Audrey Repetti , Yves Wiaux

As a powerful statistical image modeling technique, sparse representation has been successfully used in various image restoration applications. The success of sparse representation owes to the development of l1-norm optimization techniques,…

计算机视觉与模式识别 · 计算机科学 2015-05-20 Weisheng Dong , Lei Zhang , Guangming Shi , Xiaolin Wu

SAR (Synthetic Aperture Radar) tomography reconstructs 3-D volumes from stacks of SAR images. High-resolution satellites such as TerraSAR-X provide images that can be combined to produce 3-D models. In urban areas, sparsity priors are…

计算机视觉与模式识别 · 计算机科学 2021-03-15 Clément Rambour , Loïc Denis , Florence Tupin , Hélène Oriot , Yue Huang , Laurent Ferro-Famil

With a focus on linear models with smooth functional covariates, we propose a penalization framework (SACR) based on the nonzero centered ridge, where the center of the penalty is optimally reweighted in a supervised way, starting from the…

统计方法学 · 统计学 2020-11-03 Edoardo Belli

In many imaging applications where segmented features (e.g. blood vessels) are further used for other numerical simulations (e.g. finite element analysis), the obtained surfaces do not have fine resolutions suitable for the task. Increasing…

偏微分方程分析 · 数学 2023-09-19 Yiyao Zhang , Ke Chen , Shang-Hua Yang

This paper presents a quadrature compressive sampling (QuadCS) and associated fast imaging scheme for synthetic aperture radar (SAR). Different from other analog-to-information conversions (AIC), QuadCS AICs using independent spreading…

信息论 · 计算机科学 2018-01-12 Huizhang Yang , Shengyao Chen , Feng Xi , Zhong Liu

Concave regularization methods provide natural procedures for sparse recovery. However, they are difficult to analyze in the high dimensional setting. Only recently a few sparse recovery results have been established for some specific local…

机器学习 · 统计学 2012-02-14 Cun-Hui Zhang , Tong Zhang

A comprehensive convergence and stability analysis of some probabilistic numerical methods designed to solve Cauchy-type inverse problems is performed in this study. Such inverse problems aim at solving an elliptic partial differential…

数值分析 · 数学 2025-08-12 Iulian Cîmpean , Andreea Grecu , Liviu Marin

Many tasks in image processing can be tackled by modeling an appropriate data fidelity term $\Phi: \mathbb{R}^n \rightarrow \mathbb{R} \cup \{+\infty\}$ and then solve one of the regularized minimization problems \begin{align*}…

最优化与控制 · 数学 2015-06-30 René Ciak

Synthetic aperture radar (SAR) provides valuable information about the Earth's surface under all weather and illumination conditions. However, the inherent phenomenon of speckle and the presence of sidelobes around bright targets pose…

图像与视频处理 · 电气工程与系统科学 2026-01-06 Antoine De Paepe , Pascal Nguyen , Michael Mabelle , Cédric Saleun , Antoine Jouadé , Jean-Christophe Louvigne

Synthetic Aperture Radar (SAR) images are a valuable asset for a wide variety of tasks. In the last few years, many websites have been offering them for free in the form of easy to manage products, favoring their widespread diffusion and…

图像与视频处理 · 电气工程与系统科学 2022-04-05 Edoardo Daniele Cannas , Nicolò Bonettini , Sara Mandelli , Paolo Bestagini , Stefano Tubaro

The importance of regularization has been well established in image reconstruction -- which is the computational inversion of imaging forward model -- with applications including deconvolution for microscopy, tomographic reconstruction,…

图像与视频处理 · 电气工程与系统科学 2021-06-29 Sanjay Viswanath , Manu Ghulyani , Muthuvel Arigovindan

In this paper we study the topic of signal restoration using complexity regularization, quantifying the compression bit-cost of the signal estimate. While complexity-regularized restoration is an established concept, solid practical methods…

信息论 · 计算机科学 2018-11-14 Yehuda Dar , Michael Elad , Alfred M. Bruckstein

Ptychography is a powerful computational imaging technique that transforms a collection of low-resolution images into a high-resolution sample reconstruction. Unfortunately, algorithms that are currently used to solve this reconstruction…

Synthetic aperture radar (SAR) imaging traditionally requires precise knowledge of system parameters to implement focusing algorithms that transform raw data into high-resolution images. These algorithms require knowledge of SAR system…

信号处理 · 电气工程与系统科学 2025-03-19 Huizhang Yang , Zhong Liu , Jian Yang

This paper introduces a highly efficient algorithm capable of jointly estimating scale and rotation between two images with sub-pixel precision. Image alignment serves as a critical process for spatially registering images captured from…

计算机视觉与模式识别 · 计算机科学 2025-09-30 Shinji Yamashita , Yuma Kinoshita , Hitoshi Kiya

This article introduces a generalization of the discrete optimal transport, with applications to color image manipulations. This new formulation includes a relaxation of the mass conservation constraint and a regularization term. These two…

计算机视觉与模式识别 · 计算机科学 2013-07-23 Sira Ferradans , Nicolas Papadakis , Gabriel Peyré , Jean-François Aujol

Synthetic Aperture Radar (SAR) utilizes the movement of the radar antenna over a specific area of interest to achieve higher spatial resolution imaging. In this paper, we aim to investigate the realization of SAR imaging for a stationary…

信息检索 · 计算机科学 2024-09-19 Yifan Sun , Rang Liu , Zhiping Lu , Honghao Luo , Ming Li , Qian Liu

We present a closed-form image reconstruction method for single pixel imaging based on the generalized inverse of the measurement matrix. Its numerical cost scales linearly with the number of measured samples. Regularization is obtained by…

图像与视频处理 · 电气工程与系统科学 2018-07-26 Krzysztof M. Czajkowski , Anna Pastuszczak , Rafal Kotynski

In dynamic MRI, sufficient time resolution can often only be obtained using imaging protocols which produce undersampled data for each image in the time series. This has led to the popularity of compressed sensing (CS) based image…