V Phase-Measurement Interferometry Techniques

Creath, Katherine

doi:10.1016/s0079-6638(08)70178-1

Cited by 1,005 publications

(574 citation statements)

References 69 publications

Supporting

Mentioning

543

Contrasting

Unclassified

Order By: Relevance

“…Computer simulation results obtained using our method are in very good agreement with those produced using phaseshifting methods [13]. To validate the performance of the proposed technique, it has been further tested on experimental fringe patterns.…”

Section: Introductionsupporting

confidence: 63%

Single Frame Fringe Pattern Analysis for Phase Recovery with Analytic Signal

et al. 2012

View full text Add to dashboard Cite

We consider a new application of the normalized Hilbert-Huang transform to extract directly the phase from a single fringe pattern. We present a technique to provide, with good accuracy, the phase distribution from a single interferogram without unwrapping step and this by a new exploitation of the analytic signal corresponding to each intrinsic mode function, resulting from onedimensional empirical mode decomposition of the fringe pattern. A theoretical analysis was carried out for this technique, followed by computer simulations and a real experimental fringe pattern for verification.

show abstract

Section: Introductionsupporting

confidence: 63%

Single Frame Fringe Pattern Analysis for Phase Recovery with Analytic Signal

et al. 2012

View full text Add to dashboard Cite

show abstract

“…Where both images overlap in the image plane (the grey area in Figure 1(b)), interference occurs and gives rise to a socalled shearogram whose intensity profile in each pixel located in the camera plane can be described as (1) where and are the intensities of object waves reflected respectively by mirror M1 and M2, and which are displaced one another in the direction (shear direction) by an amount (shear amplitude). The phase can be computed if one considers the phase-shifting technique [8] which consists of acquiring a set of shearograms with an additional known phase step between each frame capture. For that purpose a piezoelectric translator (PZT) moves mirror M1 to produce a given phase step.…”

Section: Basics Of Shearographymentioning

confidence: 99%

“…In order to recover the EOF, we have to add a transformation. If we multiply this by the transposed matrix, it comes (7) Rewriting the bracket differently, we obtain (8) By similarity between (5) and (8), we can compute the EOF, having found the eigenfunctions from (6). The EOF are vectors with dimension .…”

Section: Application Of Pca To Shearographymentioning

confidence: 99%

Improvement of defect detection in shearography by using principal component analysis

2014

View full text Add to dashboard Cite

A post-processing technique based on principal components analysis (PCA) is proposed for shearography for defect detection. PCA allows decomposing a time series of images into a set of images called Empirical Orthogonal Functions (EOF), each showing features with a given variability in the time series. We have applied PCA on composite samples containing various defects at different depths and which undergo transient thermal wave. Analyzing the temporal series shows the shallow defects appearing first whereas the deeper ones appear later. With PCA all the defects appear in one or two of the EOF, easing the identification of defects.

show abstract

“…There are three major reasons for this procedure: (1) Equation (2) cannot be applied so long as A(x, y) and B(x, y) remain unknown. (2) It is impossible to determine ϕ mod uniquely from ϕ arc . A contradiction may arise if ϕ mod containing an error continues to be used.…”

Section: Phase Restoration Using Inverse Cosine Functionmentioning

confidence: 99%

“…The fringe pattern scanning method [1] is based on multiple interference fringe pattern images obtained by continuously scanning the interference fringe pattern. The phase-shift method [2] uses three or four interference fringe pattern images obtained by shifting the phase by π/4.…”

Section: Introductionmentioning

confidence: 99%

Interference fringe pattern analysis using inverse cosine function

Okada

Yokoyama

Miike

2006

Electron Comm Jpn Pt II

View full text Add to dashboard Cite

SUMMARYThe analysis of interference fringe patterns is a technique which is indispensable in estimating the shape of an object or the refractive index field of a solution from the interference fringe pattern image. In the methods proposed to date, however, satisfactory analysis has been difficult in situations where the image contains only a few fringes, the object shape is not smooth, or the target of measurement is continuously changing with time. This paper proposes the following method of analysis. The inverse cosine function (arccos function) is applied to the interference fringe pattern image after normalizing the intensity. Then the phase inversion is estimated by assuming a monotonically increasing phase. The method is a combination of simple ideas derived from the principles of interference fringe patterns, but can be used to calculate the phase for each pixel from a single interference fringe pattern image. Depending on the conditions, analysis with higher temporal and spatial resolutions than in the Fourier transform method can be achieved.

show abstract

V Phase-Measurement Interferometry Techniques

Cited by 1,005 publications

References 69 publications

Single Frame Fringe Pattern Analysis for Phase Recovery with Analytic Signal

Single Frame Fringe Pattern Analysis for Phase Recovery with Analytic Signal

Improvement of defect detection in shearography by using principal component analysis

Interference fringe pattern analysis using inverse cosine function

Contact Info

Product

Resources

About