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The paper presents an alternative way to classical stereocorrelation. First, 2D image processing of random patterns is described. Sub-pixel displacements are determined using phase analysis. Then distortion evaluation is presented. The…

Classical Physics · Physics 2013-11-18 Jérôme Molimard , Gaetan Boyer , Hassan Zahouani

Fringe projection profilometry (FPP) has become increasingly important in dynamic 3-D shape measurement. In FPP, it is necessary to retrieve the phase of the measured object before shape profiling. However, traditional phase retrieval…

Image and Video Processing · Electrical Eng. & Systems 2020-04-22 Haotian Yu , Xiaoyu Chen , Zhao Zhang , Yi Zhang , Dongliang Zheng , Jing Han

To achieve high data rates defined in 5G, the use of millimeter-waves and massive-MIMO are indispensable. To benefit from these technologies, an accurate estimation of the channel parameters is crucial. We propose a novel two-stage…

Signal Processing · Electrical Eng. & Systems 2020-07-15 Fazal-E-Asim , Felix Antreich , Charles C. Cavalcante , André L. F. de Almeida , Josef A. Nossek

One of the key tasks in grating based x-ray phase contrast imaging is to accurately retrieve local phase gradients of a sample from measured intensity fringe shifts. To fulfill this task in dual phase grating interferometry, one needs to…

Medical Physics · Physics 2020-01-08 Aimin Yan , Xizeng Wu , Hong Liu

We propose a probabilistic framework for performing simultaneous estimation of source structure and fringe-fitting parameters in Very Long Baseline Interferometry (VLBI) observations. As a first step, we demonstrate this technique through…

Instrumentation and Methods for Astrophysics · Physics 2020-06-10 Iniyan Natarajan , Roger Deane , Ilse van Bemmel , Huib Jan van Langevelde , Des Small , Mark Kettenis , Zsolt Paragi , Oleg Smirnov , Arpad Szomoru

A new method recovers phase difference of interfering wavefronts from a pattern of interference fringes, avoiding discontinuity problem. The continuous phase is a solution of the first order differential equation of the interferogram…

Data Analysis, Statistics and Probability · Physics 2024-04-24 V. Berejnov , B. Y. Rubinstein

In this short note we propose a simple two-stage sparse phase retrieval strategy that uses a near-optimal number of measurements, and is both computationally efficient and robust to measurement noise. In addition, the proposed strategy is…

Numerical Analysis · Mathematics 2015-04-27 Mark Iwen , Aditya Viswanathan , Yang Wang

Sure Independence Screening is a fast procedure for variable selection in ultra-high dimensional regression analysis. Unfortunately, its performance greatly deteriorates with increasing dependence among the predictors. To solve this issue,…

Methodology · Statistics 2018-11-15 Yixin Wang , Stefan Van Aelst

The current ghost imaging phase reconstruction schemes require either complex optical systems, Fourier transform steps, or iterative algorithms, which may increase the difficulty of system design, cause phase retrieval error or take too…

Optics · Physics 2023-02-09 Ziyan Chen , Heng Wu , Jing Cheng

We introduce a novel Bayesian phase estimation technique based on adaptive grid refinement method. This method automatically chooses the number particles needed for accurate phase estimation using grid refinement and cell merging strategies…

Quantum Physics · Physics 2020-09-18 Ramakrishna Tipireddy , Nathan Wiebe

A distortion calibration method for wide-angle lens is proposed based on fringe-pattern phase analysis. Firstly, according to the experimental result of the radial distortion of the image not related to the recording depth of field, but…

Image and Video Processing · Electrical Eng. & Systems 2019-11-28 Weishuai Zhou , Jiawen Weng , Junzheng Peng , Jingang Zhong

The analysis of signals created by a variety of instruments involves calculating the phase of a sinusoidal type signal. One widely used method to extract this information is through the use of Fourier transforms, but it is known that…

Optics · Physics 2018-11-02 Andrew John Henning , Dawei Tang , Xiangqian , Jiang

In ultrahigh dimensional setting, independence screening has been both theoretically and empirically proved a useful variable selection framework with low computation cost. In this work, we propose a two-step framework by using marginal…

Methodology · Statistics 2017-08-11 Haolei Weng , Yang Feng , Xingye Qiao

Phase-shifting profilometry (PSP) enables high-accuracy 3D reconstruction but remains highly susceptible to object motion. Although numerous studies have explored compensation for motion-induced errors, residual inaccuracies still persist,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Geyou Zhang , Kai Liu , Ao Li , Ce Zhu

We present a variational method for recovering the phase term from the information obtained from phase-shifting methods. First we introduce the new method based on a variational approach and then describe the numerical solution of the…

Image and Video Processing · Electrical Eng. & Systems 2020-01-29 Ricardo Legarda-Saenz , Alejandro Téllez Quiñones , Carlos Brito-Loeza , Arturo Espinosa-Romero

The 2-D phase unwrapping problem aims at retrieving a "phase" image from its modulo $2\pi$ observations. Many applications, such as interferometry or synthetic aperture radar imaging, are concerned by this problem since they proceed by…

Optimization and Control · Mathematics 2014-07-31 Adriana Gonzalez , Laurent Jacques

We consider the robust phase retrieval problem of recovering the unknown signal from the magnitude-only measurements, where the measurements can be contaminated by both sparse arbitrary corruption and bounded random noise. We propose a new…

Machine Learning · Statistics 2018-01-08 Jinghui Chen , Lingxiao Wang , Xiao Zhang , Quanquan Gu

In this paper phase of a signal has been viewed from a different angle. According to this view a signal can have countably infinitely many phases, one associated with each Fourier component. In other words each frequency has a phase…

Neurons and Cognition · Quantitative Biology 2008-04-25 Kaushik Majumdar

We provide a new efficient adaptive algorithm for performing phase estimation that does not require that the user infer the bits of the eigenphase in reverse order; rather it directly infers the phase and estimates the uncertainty in the…

Quantum Physics · Physics 2016-07-06 Nathan Wiebe , Christopher E Granade

It is well-known that adaptive homodyne estimation of continuously varying optical phase provides superior accuracy in the phase estimate as compared to adaptive or non-adaptive static estimation. However, most phase estimation schemes rely…

Optimization and Control · Mathematics 2015-09-14 Shibdas Roy , Ian R. Petersen , Elanor H. Huntington