Paul wavelet-based algorithm for optical phase distribution evaluation

Afifi, Mohamed; Fassi-Fihri, A.; Marjane, M.; Nassim, K.; Sidki, M.; Rachafi, S.

doi:10.1016/s0030-4018(02)01828-x

Cited by 85 publications

(32 citation statements)

References 8 publications

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“…In this study, the phase mapping of the fringe pattern is obtained by wavelet phase evaluation method [8]. Fro m a carrier fringe pattern, the continuous wavelet transform is used to ext ract the localized spatial frequencies.…”

Section: Wavelet Optical Phase Extractionmentioning

confidence: 99%

“…The phas e ev alu at io n met hods can b e class ified as methods without a spatial carrier such as the phase shifting methods [3][4][5] and methods with a spatial carrier such as the Fourier transform method [6,7] and the wavelet method [8,9]. Fo r th e wavelet phase ext ract io n algorith m, the spat ial carrier is introduced digitally and the entire process is carried out directly in the computer [10].…”

Section: Introductionmentioning

confidence: 99%

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Squeezed Carrier Interferogram for Wavelet Phase Recovery

Dembele¹,

Assid²,

Alaoui³

et al. 2012

OPTICS

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The purpose of the present work is the use of the Phase evaluation CWT algorith m to extract the phase from squeezing interferogram. The squeezing interfero metry technique generates a spatial carrier interferogram named squeezed interferogram by numerical co mbination of M shifted fringes patterns. The M shifted fringes patterns are digitally generated fro m co mb ination of t wo π/2 shifted fringe patterns. Fro m squeezed interferogram the phase is extracted in wavelet domain using CWT algorith m which leads directly to the phase distribution without the complex step of phase unwrapping. Simu lated fringe pattern are used to test our technique and real fringe pattern are used to improve the accuracy of this technique.

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Section: Wavelet Optical Phase Extractionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Squeezed Carrier Interferogram for Wavelet Phase Recovery

Dembele¹,

Assid²,

Alaoui³

et al. 2012

OPTICS

View full text Add to dashboard Cite

show abstract

“…Compared with Fourier transform, wavelet based method is a more localized method and is more suitable for extraction of phase encoded information [11]. Another advantage of CWT especially for MI is that it can directly retrieve the derivative of phase function without phase unwrapping and differentiation [17,19]. This characteristic makes it an ideal tool for signal processing algorithm for automatic MI.…”

Section: Continuous Wavelet Transform (Cwt)mentioning

confidence: 99%

Automatic Full Strain Field Moiré Interferometry Measurement with Nano-scale Resolution

Chen

Basaran

2008

Exp Mech

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Moiré Interferometry (MI) theoretically can provide real-time full strain field measurements in dynamic environment. So it's extensively used in reliability analysis of electronic packaging. Due to the nature of specimen preparations procedure, the optical noise is usually too strong so that an accurate phase-based information processing is not possible. In this paper, a 164 nm/pixel spatial resolution Moiré Interferometer with automated full strain field calculation is proposed. Provided by two-level zooming system, the high spatial resolution increase the signal intensity and eliminate some optical noise which allows accurate full strain field map generated automatically by the combination of phase shifting technique and continuous wavelet transform (CWT). Furthermore, the calculation procedure of CWT proposed here does not require unwrapping and differentiation, which avoid the possible numerical noise introduced in these two steps. In the proposed system, pixel by pixel in-plane strain tensors will be calculate from the intensity map of interferograms using phase-based method. The resulting strain tensor can be used to model constitutive relationship or compare with finite element analysis results. A thermal experiment on BGA packaging is used to demonstrate the advantages of the proposed new design.

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“…Many phase retrieval algorithms have been conceived which differ in the adopted approach such as Fourier transform method [2], phase shifting [3], direct phase detection and wavelet transform method [4]. The wavelet transform and other space frequency or space scale approaches are now considered standard tools by researchers in signal processing, and many applications have been proposed that point out the interest of these techniques [5].…”

Section: Introductionmentioning

confidence: 99%