Computer-aided analysis of holographic interferograms using the phase-shift method

Breuckmann, Bernd; Thieme, Werner

doi:10.1364/ao.24.002145

Cited by 79 publications

(35 citation statements)

References 7 publications

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“…To retrieve the phase information, two techniques are partly used in digital holography. One is the phase shift interferometry, [30][31][32] in which several fringe patterns are recorded by varying the known phase shift introduced to one of the beams in the interferometer system. The other one is spatial filtering for the hologram using the Fourier transform method.…”

Section: Basic Principles Of a Digital Holography Systemmentioning

confidence: 99%

Phase extraction and unwrapping using rotational and direct compensators for digital hologram

2013

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Abstract. The growing interest in the applications of digital holography interferometry has led to an increasing demand for reliable phase unwrapping techniques. In digital holography, the phase carries three-dimensional surface information about the object. However, phase mapping is ambiguous as the extracted phase is returned in a form that suffers from 2π phase jumps. Furthermore, the presence of noise in the measured data, in which many singular points (SP) are found, often makes general phase unwrapping algorithms fail to produce accurate unwrapped results. Therefore, it is necessary to use a powerful phase unwrapping method to recover the desired smooth phase surface. For this reason, we developed a phase unwrapping algorithm that is applicable to digital hologram maps. The developed algorithm solves the singularity problem caused by SPs as a result of compensating its effect by using rotational and direct compensators. We show a difference in performance between our developed phase unwrapping algorithm and other well known phase unwrapping methods for digital holographic data. In addition, the methods to extract phase information of the object from hologram maps are also investigated. Results show that the developed algorithm gives satisfactory unwrapped results with low computational time cost. © The Authors. Published by SPIE under a Creative Commons Attribution 3.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.

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Section: Basic Principles Of a Digital Holography Systemmentioning

confidence: 99%

Phase extraction and unwrapping using rotational and direct compensators for digital hologram

2013

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“…Methods were established to extract vectorial object displacement from the fringes, their parallax and their localization required in their applications . The search for simpler techniques of fringe analysis in holographic interferometry initiated various studies [20] . The theories developed so far simplify the analysis and make it easier for the engineer to understand and apply it .…”

Section: Engineering Application Of Holographic Interferometrymentioning

confidence: 99%

Optical methods for precision measurements

Tiziani

1989

Opt Quant Electron

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Contactless measuring techniques are becoming increasingly important for industrial applications . The use of a laser, solid-state detector arrays and powerful small computers leads to a very efficient fringe analysis in holography as well as in Moire and speckle techniques . Due to the computer analysis, much more information can be extracted from interferograms, leading to higher sensitivities and accuracies . The application of different fringe analysis procedures is discussed, together with some potentials of the application of interferometry, holography, and speckle and Moire techniques . . IntroductionInterferometry, holography, speckle and Moire techniques are becoming useful tools for precision measurements in research and for industrial applications . Computer analysis is increasingly important for fringe analysis . The use of solid-state detector arrays . image memory boards together with microprocessors and computers for the extraction of the information from the interferograms and high-resolution graphic hoards finds important application in optical metrology . Much more information can he extracted from the interferograms, leading to higher sensitivities and accuracies .Fringe analysis procedures including fringe peak detection and fringe order determination are tedious and time-consuming . Automatic fringe analysis and precision phase measuring techniques are very important in applying interferometric techniques . Automatic quantitative evaluation of interferograms requires accurate interference phase measurements . independent of fringe position and intensity variations superposed onto the interferograms . In many interferometric arrangements . phase shifting or heterodyne techniques have been introduced for automatic fringe analysis .In the phase shifting technique or quasi-heterodyne technique the relative phase is changed continuously or stepwise, using at least three phase shifts of 90° or 120°, for instance . The phase of the interference patterns can then he computed from the different measured intensity values . The phase shifting technique is very appropriate for digital processing and TV techniques . Interferometry and two-reference-beam holography together with video electronic processing lead to a sensitivity of 1 100 of a fringe at any point of the fringe pattern in the TV image . In heterodyne methods the relative phase increases linearly

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“…In these systems, fringe patterns are measured by digital devices such as CCD cameras, then phase information is retrieved using Fourier domain filtering [1][2][3] or phase shift techniques [2,4,5]. The retrieved phase is a principal value of phase that is bounded between −π; π.…”

Section: Introductionmentioning

confidence: 99%

Phase unwrapping for noisy phase map using localized compensator

Tomioka

Nishiyama

2012

Appl. Opt.

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Phase unwrapping for a noisy image suffers from many singular points. Singularity-spreading methods are useful for the noisy image to regularize the singularity. However, the methods have a drawback of distorting phase distribution in a regular area that contains no singular points. When the singular points are confined in some local areas, the regular region is not distorted. This paper proposes a new phase unwrapping algorithm that uses a localized compensator obtained by clustering and by solving Poisson's equation for the localized areas. The numerical results demonstrate that the proposed method can improve the accuracy compared with other singularity-spreading methods.

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Computer-aided analysis of holographic interferograms using the phase-shift method

Cited by 79 publications

References 7 publications

Phase extraction and unwrapping using rotational and direct compensators for digital hologram

Phase extraction and unwrapping using rotational and direct compensators for digital hologram

Optical methods for precision measurements

Phase unwrapping for noisy phase map using localized compensator

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