Paper
27 May 2011 Industrial surface inspection by wavelet analysis
Author Affiliations +
Abstract
Wavelet analysis is a processing method for the description of single- or multi-dimensional signals in multiple scales and therefore well suited for describing technical surfaces with variable resolution. Here optically measured height data of technical surfaces are wavelet-transformed along two dimensions with two different objectives: One is the representation with only a few coefficients in the sense of an efficient data compression, the other is the reliable detection of defects, which can be regarded as a pattern recognition task. A systematic comparison of various wavelet families results in the choice of the biorthogonal pseudo-coiflets for representing the surfaces, and differentiating wavelets like Burt-Adelson-wavelet or short-range Daubechies-wavelets for solving the defect detection problem. It is shown that the representation can be improved by not using the most significant wavelet-values - which can be interpreted as low-pass filtered coefficients, but to maintain those with the largest weights. Thus the variance between the original surface and that reconstructed from the representation data is minimized by a factor up to 4. Defect detection is best performed with separate transformation in two orthogonal directions with subsequent superposition. The procedures obtained here are applied to surfaces like a coin-surface, a copper-mirror surface, and a lacquered surface.
© (2011) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Thomas Kreis, Lars Rosenboom, and Werner Jüptner "Industrial surface inspection by wavelet analysis", Proc. SPIE 8082, Optical Measurement Systems for Industrial Inspection VII, 808234 (27 May 2011); https://doi.org/10.1117/12.889112
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KEYWORDS
Wavelets

Defect detection

Inspection

Wavelet transforms

Optical testing

Data compression

Fourier transforms

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