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In this paper, we aim to reconstruct an n-dimensional real vector from m phaseless measurements corrupted by an additive noise. We extend the noiseless framework developed in [15], based on mirror descent (or Bregman gradient descent), to…

最优化与控制 · 数学 2024-06-21 Jean-Jacques Godeme , Jalal Fadili , Claude Amra , Myriam Zerrad

Noisy images processing is a fundamental task of computer vision. The first example is the detection of faint edges in noisy images, a challenging problem studied in the last decades. A recent study introduced a fast method to detect faint…

计算机视觉与模式识别 · 计算机科学 2021-10-06 Nati Ofir , Yosi Keller

In turbid media, scattering of light scrambles information of the incident beam and represents an obstacle to optical imaging. Noninvasive imaging through opaque layers is challenging for dynamic and wide-field objects due to unreliable…

光学 · 物理学 2018-10-17 Yuan Yuan , Hui Chen

In this paper, we tackle the compressive phase retrieval problem in the presence of noise. The noisy compressive phase retrieval problem is to recover a $K$-sparse complex signal $s \in \mathbb{C}^n$, from a set of $m$ noisy quadratic…

信息论 · 计算机科学 2016-06-03 Dong Yin , Kangwook Lee , Ramtin Pedarsani , Kannan Ramchandran

A hierarchy of statistics of increasing sophistication and accuracy is proposed, to exploit an interesting and fundamental arithmetic structure in the photon bunching noise of incoherent light of large photon occupation number, with the…

天体物理仪器与方法 · 物理学 2017-08-02 Richard Lieu

The acquisition of accurately coloured, balanced images in an optical microscope can be a challenge even for experienced microscope operators. This article presents an entirely automatic mechanism for balancing the white level that allows…

计算机视觉与模式识别 · 计算机科学 2026-05-27 Radoslaw Roszczyk , Artur Krupa , Izabella Antoniuk

Speckle noise is an inherent disturbance in coherent imaging systems such as digital holography, synthetic aperture radar, optical coherence tomography, or ultrasound systems. These systems usually produce only single observation per view…

图像与视频处理 · 电气工程与系统科学 2022-05-19 Tsung-Ming Tai , Yun-Jie Jhang , Wen-Jyi Hwang , Chau-Jern Cheng

We study an approach to solving the phase retrieval problem as it arises in a phase-less imaging modality known as ptychography. In ptychography, small overlapping sections of an unknown sample (or signal, say $x_0\in \mathbb{C}^d$) are…

数值分析 · 数学 2019-10-09 Brian Preskitt , Rayan Saab

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

Semantic noise in image classification datasets, where visually similar categories are frequently mislabeled, poses a significant challenge to conventional supervised learning approaches. In this paper, we explore the potential of using…

计算机视觉与模式识别 · 计算机科学 2025-09-05 Yingxuan Li , Jiafeng Mao , Yusuke Matsui

Phase diversity is a widefield aberration correction method that uses multiple images to estimate the phase aberration at the pupil plane of an imaging system by solving an optimization problem. This estimated aberration can then be used to…

图像与视频处理 · 电气工程与系统科学 2023-08-03 Nikolaj Reiser , Min Guo , Hari Shroff , Patrick J. La Riviere

Image sequences filtering have recently become a very important technical problem especially with the advent of new technology in multimedia and video systems applications. Often image sequences are corrupted by some amount of noise…

计算机视觉与模式识别 · 计算机科学 2013-04-18 Soumaya Hichri , Faouzi Benzarti , Hamid Amiri

Removing noise from the any processed images is very important. Noise should be removed in such a way that important information of image should be preserved. A decisionbased nonlinear algorithm for elimination of band lines, drop lines,…

计算机视觉与模式识别 · 计算机科学 2022-04-22 S. K. Satpathy , S. Panda , K. K. Nagwanshi , S. K. Nayak , C. Ardil

Existing algorithms for fitting the parameters of a sinusoid to noisy discrete time observations are not always successful due to initial value sensitivity and other issues. This paper demonstrates the techniques of FIR filtering, Fast…

综合数学 · 数学 2012-08-27 Francis J. O'Brien, , Nathan Johnnie

Low-light photography produces images with low signal-to-noise ratios due to limited photons. In such conditions, common approximations like the Gaussian noise model fall short, and many denoising techniques fail to remove noise…

计算机视觉与模式识别 · 计算机科学 2025-07-08 Liying Lu , Raphaël Achddou , Sabine Süsstrunk

The impulsive noise in astronomical images originates from various sources. It develops as a result of thermal generation in pixels, collision of cosmic rays with image sensor or may be induced by high readout voltage in Electron…

天体物理仪器与方法 · 物理学 2016-09-28 A. Popowicz , A. R. Kurek , T. Blachowicz , V. Orlov , B. Smolka

We propose a general framework to recover underlying images from noisy phaseless diffraction measurements based on the alternating directional method of multipliers and the plug-and-play technique. The algorithm consists of three-step…

最优化与控制 · 数学 2016-11-07 Huibin Chang , Stefano Marchesini

By harnessing the quantum states of light for illumination, precise phase and absorption estimations can be achieved with precision beyond the standard quantum limit. Despite their significance for precision measurements, quantum states are…

量子物理 · 物理学 2018-08-15 Ming Li , Chang-Ling Zou , Di Liu , Guo-Ping Guo , Guang-Can Guo , Xi-Feng Ren

Coherent X-ray diffraction imaging (CXDI) experiments are intrinsically limited by shot noise, a lack of prior knowledge about the sample's support, and missing measurements due to the experimental geometry. We propose a flexible, iterative…

生物物理 · 物理学 2017-03-03 Liang Shi , Gordon Wetzstein , Thomas J. Lane

Quantum imaging with undetected light has recently emerged as a technique in which quantum correlations and nonlinear interferometry are combined to decouple illumination and detection paths. This approach has been more recently extended…