Modulation analysis of phase-shifted holographic interferograms

Su, Xuemei; Zarubin, Alexander M.; Bally, Gert von

doi:10.1016/0030-4018(94)90412-x

Cited by 19 publications

(4 citation statements)

References 12 publications

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“…However, modulation is not reliable enough; in some cases, the fringe pattern is of high modulation but is undersampling. In this case, because the modulation cannot cover all the phase extraction reliability points correctly [26,27], the modulus calculated using both the daughter wavelet definitions is not reliable enough to represent the reliability of the phase.…”

Section: B Modulus Calculated Using Two Frequently Used Daughter Wavmentioning

confidence: 99%

“…To limit the error propagation, many robust phase unwrapping methods have been proposed [21]. Among the methods proposed, the reliability-guided phase unwrapping method is popular [21][22][23][24][25][26][27][28]. In this method, the phase unwrapping path is guided by a reliability parameter that can ensure the wrapped phase with a higher reliability value is unwrapped earlier.…”

Section: Introductionmentioning

confidence: 99%

“…This method, in which the reliability parameter plays a very important role, limits error propagation. Several parameters have been proposed by researchers, including modulation and local frequency of the deformed fringe pattern [25][26][27][28]. As reported in [25,26], modulation is selected as a reliability parameter because it represents the brightness and contrast of the fringe pattern.…”

Section: Introductionmentioning

confidence: 99%

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Two-dimensional wavelet transform for reliability-guided phase unwrapping in optical fringe pattern analysis

Wang

et al. 2012

Appl. Opt.

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This paper theoretically discusses modulus of two-dimensional (2D) wavelet transform (WT) coefficients, calculated by using two frequently used 2D daughter wavelet definitions, in an optical fringe pattern analysis. The discussion shows that neither is good enough to represent the reliability of the phase data. The differences between the two frequently used 2D daughter wavelet definitions in the performance of 2D WT also are discussed. We propose a new 2D daughter wavelet definition for reliability-guided phase unwrapping of optical fringe pattern. The modulus of the advanced 2D WT coefficients, obtained by using a daughter wavelet under this new daughter wavelet definition, includes not only modulation information but also local frequency information of the deformed fringe pattern. Therefore, it can be treated as a good parameter that represents the reliability of the retrieved phase data. Computer simulation and experimentation show the validity of the proposed method.

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Section: B Modulus Calculated Using Two Frequently Used Daughter Wavmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Two-dimensional wavelet transform for reliability-guided phase unwrapping in optical fringe pattern analysis

Wang

et al. 2012

Appl. Opt.

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“…For complex objects, the spatial phase unwrapping methods are always path dependent. Thus, many methods based on reliability ordering have been presented in this field aiming to limit the error propagation, such as water flood algorithms, 6 modulation based algorithms, [7][8][9] fringe frequency analysis based algorithms, 10 etc. However, the inevitable necessary to pass through invalid areas with global discontinuities usually causes error accumulation and propagation.…”

Section: Introductionmentioning

confidence: 99%

Phase unwrapping method based on reliability and digital point array

et al. 2011

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Phase unwrapping, which usually involves complicated and time-consuming procedures, is crucial for phase-measuring profilometry. Unwrapping isolated phase regions with global phase discontinuity is challenging for traditional reliability ordering based phase unwrapping methods. This paper presents a novel method that combines the advantages of digital point array based active triangulation profilometry with a reliability of modulation ordering algorithm. Table entries that store spatial coordinates of sampling points are established, and the true phases measured by geometrical relationships are used to direct phase unwrapping. Different from the proposed 2D spatial unwrapping algorithms until now, the fringe order can be easily identified by referencing the patterns of multiple points. Additionally, unwrapping from the interior part of isolated regions following an optimized path is guaranteed. The prevention of penetration through invalid pixels into isolated regions ensures this new method will alleviate errors due to phase ambiguity. Simulation and experimental results demonstrate that the proposed technique can feasibly measure objects with a wide range of height variation. C 2011 Society of Photo-Optical Instrumentation Engineers (SPIE).

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Holographic Interferometry for Studying Time-Varying States of the Human Surface Circulatory System

Tanin¹,

Tanin

2020

Biomedical and Resonance Optics

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Modulation analysis of phase-shifted holographic interferograms

Cited by 19 publications

References 12 publications

Two-dimensional wavelet transform for reliability-guided phase unwrapping in optical fringe pattern analysis

Two-dimensional wavelet transform for reliability-guided phase unwrapping in optical fringe pattern analysis

Phase unwrapping method based on reliability and digital point array

Holographic Interferometry for Studying Time-Varying States of the Human Surface Circulatory System

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