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Reconstructing images from their Fourier magnitude measurements is a problem that often arises in different research areas. This process is also referred to as phase retrieval. In this work, we consider a modified version of the phase…

图像与视频处理 · 电气工程与系统科学 2021-10-27 Tobias Uelwer , Nick Rucks , Stefan Harmeling

The principal limitation in many areas of astronomy, especially for directly imaging exoplanets, arises from instability in the point spread function (PSF) delivered by the telescope and instrument. To understand the transfer function, it…

天体物理仪器与方法 · 物理学 2021-09-01 Alison Wong , Benjamin Pope , Louis Desdoigts , Peter Tuthill , Barnaby Norris , Chris Betters

Natural images tend to mostly consist of smooth regions with individual pixels having highly correlated spectra. This information can be exploited to recover hyperspectral images of natural scenes from their incomplete and noisy…

计算机视觉与模式识别 · 计算机科学 2016-11-03 Reza Arablouei , Frank de Hoog

This paper addresses the problem of single image super-resolution (SR), which consists of recovering a high resolution image from its blurred, decimated and noisy version. The existing algorithms for single image SR use different strategies…

计算机视觉与模式识别 · 计算机科学 2016-05-03 Ningning Zhao , Qi Wei , Adrian Basarab , Nicolas Dobigeon , Denis Kouame , Jean-Yves Tourneret

High-contrast imaging of exoplanets hinges on powerful post-processing methods to denoise the data and separate the signal of a companion from its host star, which is typically orders of magnitude brighter. Existing post-processing…

天体物理仪器与方法 · 物理学 2022-10-05 Timothy D. Gebhard , Markus J. Bonse , Sascha P. Quanz , Bernhard Schölkopf

Phase retrieval (PR) aims to recover a signal from the magnitudes of a set of inner products. This problem arises in many audio signal processing applications which operate on a short-time Fourier transform magnitude or power spectrogram,…

声音 · 计算机科学 2021-02-24 Pierre-Hugo Vial , Paul Magron , Thomas Oberlin , Cédric Févotte

Signal processing over hypercomplex numbers arises in many optical imaging applications. In particular, spectral image or color stereo data are often processed using octonion algebra. Recently, the eight-band multispectral image phase…

信息论 · 计算机科学 2024-06-04 Roman Jacome , Kumar Vijay Mishra , Brian M. Sadler , Henry Arguello

This paper presents a hierarchical Bayesian model to reconstruct sparse images when the observations are obtained from linear transformations and corrupted by an additive white Gaussian noise. Our hierarchical Bayes model is well suited to…

数据分析、统计与概率 · 物理学 2011-01-19 Nicolas Dobigeon , Alfred O. Hero , Jean-Yves Tourneret

In the phase retrieval problem, the aim is the recovery of an unknown image from intensity-only measurements such as Fourier intensity. Although there are several solution approaches, solving this problem is challenging due to its nonlinear…

图像与视频处理 · 电气工程与系统科学 2025-01-20 Cagatay Isil , Figen S. Oktem

The problem of reconstruction of digital images from their degraded measurements is regarded as a problem of central importance in various fields of engineering and imaging sciences. In such cases, the degradation is typically caused by the…

计算机视觉与模式识别 · 计算机科学 2010-01-06 E. Shaked , O. Michailovich

Phase retrieval seeks to recover a complex signal from amplitude-only measurements, a challenging nonlinear inverse problem. Current theory and algorithms often ignore signal priors. By contrast, we evaluate here a variety of image priors…

图像与视频处理 · 电气工程与系统科学 2025-09-19 Stanislas Ducotterd , Zhiyuan Hu , Michael Unser , Jonathan Dong

We present a novel algorithm for generating high quality holograms for Computer Generated Holography - Holographic Predictive Search. This approach is presented as an alternative to traditional Holographic Search Algorithms such as Direct…

图像与视频处理 · 电气工程与系统科学 2020-08-27 Peter J. Christopher , Youchao Wang , Timothy D. Wilkinson

Domain adaptive image retrieval includes single-domain retrieval and cross-domain retrieval. Most of the existing image retrieval methods only focus on single-domain retrieval, which assumes that the distributions of retrieval databases and…

计算机视觉与模式识别 · 计算机科学 2020-03-09 Fuxiang Huang , Lei Zhang , Yang Yang , Xichuan Zhou

This paper describes a fast algorithm for recovering low-rank matrices from their linear measurements contaminated with Poisson noise: the Poisson noise Maximum Likelihood Singular Value thresholding (PMLSV) algorithm. We propose a convex…

机器学习 · 统计学 2014-12-22 Yang Cao , Yao Xie

We consider sampling from a Gibbs distribution by evolving a finite number of particles using a particular score estimator rather than Brownian motion. To accelerate the particles, we consider a second-order score-based ODE, similar to…

机器学习 · 统计学 2026-01-19 Hong Ye Tan , Stanley Osher , Wuchen Li

We introduce a novel framework for upsampled Point Spread Function (PSF) modeling using pixel-level Bayesian inference. Accurate PSF characterization is critical for precision measurements in many fields including: weak lensing, astrometry,…

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

Quaternionic signal processing provides powerful tools for efficiently managing color signals by preserving the intrinsic correlations among signal dimensions through quaternion algebra. In this paper, we address the quaternionic phase…

计算机视觉与模式识别 · 计算机科学 2025-05-09 Ren Hu , Pan Lian

This paper investigates the phase retrieval problem, which aims to recover a signal from the magnitudes of its linear measurements. We develop statistically and computationally efficient algorithms for the situation when the measurements…

机器学习 · 统计学 2017-05-19 Huishuai Zhang , Yuejie Chi , Yingbin Liang

In fringe projection profilometry, the high-order harmonics information of non-sinusoidal fringes will lead to errors in the phase estimation. In order to solve this problem, a point-wise posterior phase estimation (PWPPE) method based on…

图像与视频处理 · 电气工程与系统科学 2021-08-03 Cong Liu , Chuang Zhang , Zhuoyi Yin , Xiaopeng Liu , Zhihong Xu