2018
DOI: 10.1016/j.measurement.2018.03.060
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Precision of evaluation methods in white light interferometry. Correlogram correlation method

Abstract: In this paper we promote a method for the evaluation of a surface's topography which we call the correlogram correlation method. Employing a theoretical analysis as well as numerical simulations the method is proven to be the most accurate among available evaluation algorithms in the common case of uncorrelated noise. Examples illustrate the superiority of the correlogram correlation method over the common envelope and phase methods.

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Cited by 16 publications
(9 citation statements)
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“…20 Various methods have been developed for reconstructing surface topography from fringes, such as the frequency domain analysis (FDA), 10 envelope detection, 23 and the correlogram correlation method. 24 In practice, it is not always possible to perform the second step of evaluating fringe phase, resulting in a loss of precision as the price for greater tolerance of surface texture. 25 When measuring rough surfaces at scales less than the lateral optical resolution of the microscope objective, the phase of the fringe data may not correlate well with the surface profile and random phase jumps may be observed in the fringe data.…”
Section: Topography Reconstruction Methodsmentioning
confidence: 99%
“…20 Various methods have been developed for reconstructing surface topography from fringes, such as the frequency domain analysis (FDA), 10 envelope detection, 23 and the correlogram correlation method. 24 In practice, it is not always possible to perform the second step of evaluating fringe phase, resulting in a loss of precision as the price for greater tolerance of surface texture. 25 When measuring rough surfaces at scales less than the lateral optical resolution of the microscope objective, the phase of the fringe data may not correlate well with the surface profile and random phase jumps may be observed in the fringe data.…”
Section: Topography Reconstruction Methodsmentioning
confidence: 99%
“…Moreover, the noise type was detected by analyzing autocorrelation coefficients for different noise [ 35 ]. The effect of some noise errors was defined and reduced [ 36 ] with various methods—for example, correlogram correlation [ 37 , 38 ], Fourier reduction, or random phase exclusion methods [ 39 ], by detecting limits of the roughness tester [ 40 ], limitation and matching of bandwidth for stylus or optical instruments, or the low-noise interference microscope approach [ 41 ], reproducing measurement images with Instrument Transfer Functions (ITFs) or Optical Transfer Functions (OTFs) [ 42 ], some optimization methods [ 43 ] for Coherence Scanning Interferometry measurements, z-axis repeatability studies [ 44 ], an orthogonal wavelet de-noising algorithm [ 45 ], thresholding function [ 46 ], or a comprehensively improved algorithm, which combines wavelet packet decomposition and improved complete ensemble empirical modal decomposition of adaptive noise [ 47 ].…”
Section: Introductionmentioning
confidence: 99%
“…The combined WLPSI algorithms can effectively improve the measurement accuracy and offer a large dynamic range without a 2π ambiguity problem, but the trade-off is computational load and processing time. Kiselev et al [ 34 ] proposed a correlogram correlation method that used the covariance of a correlogram measured with the reference correlogram at the best fitting position as the criterion for the appropriateness analysis, providing fewer outliers than the envelope parabola method when measuring a rough groove wall of about 40° pitch.…”
Section: Introductionmentioning
confidence: 99%