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Conference on Optical Metrology and Inspection for Industrial Applications

作者： Wang Gang Yan Ji-xiang Beijing Inst Technol Sch Optoelect Beijing 100081 Peoples R China

ISBN: (纸本)9780819483850

When applying phase-stepping interferometry to measure wavefront with aberration, distortion is caused by various factors and the main one is phase-shifting error from phase shifter. In this paper, the calculation theory and consequence in measurement error of the phase shift algorithm are discussed. These algorithms include traditional three-phase algorithm, traditional four-phase algorithm, traditional five-phase algorithm, carre algorithm, new compensating four-phase algorithm and new compensating five-phase algorithm. According to the theory analysis and computer stimulation, these methods are compared through introduce phase-shifting error, wavefront aberration and Gauss noise, the results show the new compensating five-phase algorithm is immune to phase-shifting error, and its result is insensitive to Gauss noise, it can improve measurement accuracy effectively.

关键词： phase shift algorithm phase-shifting error computer stimulation

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Theory and application of robust linear phase-shift algorithm for phase-shift deflectometry method

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SCIENTIFIC REPORTS 2024年第1期14卷 1-21页

作者： Yang, Song Zhu, Xianyong Cao, Zhirui Zhao, Jiali Xiao, Xiong Lv, Changchun Du, Yang Wang, Ruiqing Wu, Peng Wang, Zheyuan Jilin Univ Sch Mech & Aerosp Engn Changchun 130025 Jilin Peoples R China Chinese Acad Sci Changchun Inst Opt Fine Mech & Phys Changchun 130033 Jilin Peoples R China FAW VOLKSWAGEN Changchun 130000 Jilin Peoples R China Second Hosp Jilin Univ Changchun 130041 Jilin Peoples R China Changchun Baoze Technol Co Ltd Changchun 130051 Peoples R China Internet Informat Ctr Tiexi Siping 136000 Peoples R China

Based on the polynomial theory, the error propagation characteristics of the widely used N-step discrete Fourier transform (N-DFT) phase-shift algorithm were analyzed via theoretical analysis, under the effect of Gamma distortion and phase detuning. The results showed that the N-DFT algorithm could not simultaneously suppress both types of error. A robust linear phase-shift (RLPS) algorithm was designed, the performance of the RLPS and 8-DFT algorithms in terms of spectral response, detuning robustness, and GS/N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${G}_{S/N}$$\end{document} was briefly analysis by Manuel Servin method. The Simulation analysis and comparison of the results show that the RLPS algorithm could suppress both types of error simultaneously, which exhibited better stability and accuracy than N-DFT and exponential algorithms, particularly in gradient measurement stability, peak-to-valley (PV) and root-mean-square (RMS) error suppression. Moreover, a physical experiment apparatus was built to test unidirectionally inclined plane mirror and concave mirror using the RLPS, N-DFT, and exponential algorithms. The results showed that the RLPS algorithm could significantly improve the measurement stability and accuracy in the presence of detuning and without screen Gamma calibration.

关键词： phase-shift deflectometry Gamma distortion Detuning error phase shift algorithm

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Computer simulation of phase-shift algorithm

Computer simulation of phase-shift algorithm

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2010亚洲光电子会议应用于工业的光学计量学和检验分会场

作者： WANG Gang,YAN Ji-xiang(School of Optoelectronics,Beijing Institute of Technology,Beijing 100081,China)

When applying phase-stepping interferometry to measure wavefront with aberration,distortion is caused by various factors and the main one is phase-shifting error from phase *** this paper,the calculation theory and consequence in measurement error of the phase shift algorithm are *** algorithms include traditional three-phase algorithm,traditional four-phase algorithm,traditional five-phase algorithm,carre algorithm,new compensating four-phase algorithm and new compensating five-phase *** to the theory analysis and computer stimulation,these methods are compared through introduce phase-shifting error,wavefront aberration and Gauss noise,the results show the new compensating five-phase algorithm is immune to phase-shifting error,and its result is insensitive to Gauss noise,it can improve measurement accuracy effectively.

关键词： phase shift algorithm phase-shifting error computer stimulation

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Optical current sensor using phase shift algorithms

Optical current sensor using phase shift algorithms

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Conference on Fiber Optic Sensors and Applications V

作者： Flores, Jorge L. Garcia-Torales, G. Ortiz, Victor H. Univ Guadalajara Dept Elect Engn Guadalajara 44840 Jalisco Mexico

ISBN: (纸本)9780819469304

A new fiber-optic current sensor (FOCS) is described which employs phase shifting algorithms to process the optical signal. In this approach the sensing element consists of a coil low birefringence fiber placed between one polarizer and four analyzers. In the polarimeter layout, the output light from the current sensing element is divided into four beams through three nonpolarizing beamsplitters, and in each beam path is placed an analyzer and a detector. This paper discusses the characteristics of the optical current sensors, specifically for relaying applications were measurement of fault current is required. The design of the sensor, results and shift algorithms for electrical current characterization will be presented.

关键词： Faraday effect fiber optical current sensors phase shift algorithm

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A four-frame phase shift method insensitive to phase shifter nonlinearity

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JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS 2006年第3期8卷 300-303页

作者： Zhong, XH Shanghai Inst Opt & Fine Mech Lab Informat Opt Shanghai 201800 Peoples R China

A four-frame phase shift method and an associated algorithm using unequal phase steps are presented. The unique advantage of this method is that it becomes insensitive to phase shifter nonlinearity because of the performance of a special procedure, in which the phase shifts are shared out between the reference beam and the object beam. By this means, any phase shifter can work as long as one phase shift is accurately known. On the basis of the technique, a simple calibration method for the linear phase shifter is suggested. The influences of phase shifter miscalibration, detector nonlinearity and random noise on the algorithm are investigated, and the optimal phase shifts are given.

关键词： phase shifting interferometry phase shift algorithm phase retrieval phase shift calibration

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Uncertainty analysis for optical time-of-flight sensors based on four-phase-shift range calculation

Uncertainty analysis for optical time-of-flight sensors base...

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9th IEEE Sensors Applications Symposium (SAS)

作者： Edeler, Torsten Hussmann, Stephan Knoll, Florian Univ Appl Sci Hamburg Dept Media Technol Hamburg Germany West Coast Univ Appl Sci Fac Engn Heide Germany

ISBN: (纸本)9781479921805

Time-of-flight (Tof) range imaging is a new suitable choice for measurement and modeling in many different applications such as robotics, machine vision, medical imaging, multimedia and so forth. But due to the technology's relatively new appearance on the market the knowledge of its capabilities is very low. This paper presents an uncertainty analysis for optical Tof sensors based on a four-phase-shift algorithm for range value calculation. The measurement uncertainty indicates the interval of the values that the quantity to be measured (in this paper range information) may assume, after all systematic biases have been corrected. The uncertainty analysis is evaluated by simulation. At the end of the paper the results are discussed.

关键词： Measurement uncertainty phase shift algorithm time-of-flight (TOF) optical distance measurement sensor photonic mixer devices (PMD)

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A multi-party quantum key distribution protocol based on phase shift operation

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LASER PHYSICS 2019年第10期29卷 105201-105201页

作者： Li, Lei Li, Zhi Xidian Univ Sch Mechanoelect Engn Xian 710071 Shaanxi Peoples R China

A multiparty quantum key distribution protocol is proposed in this paper. The distributor uses a phase shift operation to encode the key sequence into some EPR sequences. The participants perform a phase shift operation on the particles from Bell states according to their private keys, and t out of n participants can use the Lagrange interpolation to recover the EPR sequences. Furthermore, two cooperating participants, one from each of the two disjoint groups, can always reconstruct the original key sequence by only a single-photon measurement. Performance analysis shows that the proposed protocol is simpler and more efficient than the existing schemes.

关键词： quantum key distribution phase shift algorithm (t, n) threshold Lagrangian interpolation formula

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One-phase algorithm for Continuous Wave TOF Machine Vision Applications

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IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT 2013年第5期62卷 991-998页

作者： Hussmann, Stephan Hermanski, Alexander West Coast Univ Appl Sci Fac Engn D-25746 Heide Germany West Coast Univ Appl Sci Inst Machine Vis Technol Ma Vi Tec D-25746 Heide Germany

During the last years, time-of-flight (TOF) sensors achieved a significant impact onto research fields in machine vision. In comparison to other common 3-D sensing devices, they combine the advantages of active sensors providing accurate distance measurements and camera-based systems recording a 2-D matrix at a high frame rate. In this paper, a new approach is presented which increases the range calculation time by a factor of four. Experimental results show that the proposed algorithm is well suited for real-time processing of the range images of continuous wave TOF cameras.

关键词： Optical distance measurement component phase measurement phase shift algorithm photonic mixer devices (PMD) real-time image processing time-of-flight (TOF)

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Modulation Method Including Noise Model for Minimizing the Wiggling Error of TOF Cameras

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IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT 2014年第5期63卷 1127-1136页

作者： Hussmann, Stephan Knoll, Florian Edeler, Torsten West Coast Univ Appl Sci Dept Engn D-25746 Heide Germany Univ Appl Sci Hamburg Dept DMI D-20099 Hamburg Germany

Registered depth and intensity data at a high frame rate, a compact design, low weight, and a reduced power consumption have motivated the increasing usage of lock-in time-of-flight (TOF) cameras in research areas such as computer graphics, machine vision, and robotics. The state-of-the-art practice is to use continuous wave modulation with square waves for TOF cameras. Square waves can be easily generated digitally with a high accuracy and stability using programmable logic devices. In this paper, a modulation method based on sine waves is proposed, which significantly reduces the depth distortion offset (wiggling effect) of lock-in TOF cameras. Furthermore, a model for the noise distribution in the depth image is derived. This model can predict the performance of the proposed modulation method for each pixel in real time.

关键词： Optical distance measurement component phase measurement phase shift algorithm photonic mixer devices (PMDs) time-of-flight (TOF)

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Camera calibration by using fringe patterns and 2D phase-difference pulse detection

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OPTIK 2014年第2期125卷 671-674页

作者： Ma, MengChao Chen, XiangCheng Wang, KeYi Univ Sci & Technol China Dept Precis Machinery & Precis Instrumentat Hefei 230026 Anhui Peoples R China

Camera calibration is the most essential and usually the first step in computer vision applications. The results highly depend on the accuracy of the feature extraction. Conventional feature extraction methods suffer from perspective and lens distortion. In this paper, a novel feature extraction method is proposed by using fringe patterns groups as calibration target. Each group comprises six sinusoidal, in which, three are used for calculating vertical phases and the other three for horizontal phases. A three-step phase shift algorithm is used for wrapped phase calculation. Then, feature points are detected with a 2D phase-difference pulse detection method and refinement is done by simple interpolation. Finally, camera calibration is done by using these features as control points, experimental results indicated the proposed method accurate and robust. (C) 2013 Elsevier GmbH. All rights reserved.

关键词： Camera calibration phase shift algorithm Feature detection 2D phase-difference pulse detection

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