18 December 2012 Space domain interpretation of incoherent moiré superimpositions using FABEMD
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Proceedings Volume 8697, 18th Czech-Polish-Slovak Optical Conference on Wave and Quantum Aspects of Contemporary Optics; 869704 (2012) https://doi.org/10.1117/12.2005907
Event: 18th Czech-Polish-Slovak Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 2012, Ostravice, Czech Republic
Abstract
Fast adaptive bidimensional empirical mode decomposition (FABEMD) is a data-driven image processing method that decomposes 2D signal into a set of bidimensional intrinsic mode functions (BIMFs) and residue via sifting process. FABEMD was recently reported as a promising tool for moiré fringe pattern analysis. In this contribution we propose a modified FABEMD method for extraction of micro and macrostructures present in incoherent superimpositions of both cosinusoidal and binary gratings. A new structure with unique properties is pointed out. One can create it by subtracting the additive moiré pattern from the multiplicative one. The resulting structure consists of a sum of two information carrying (the difference and sum beat frequencies) components easily separable using the FABEMD method. In the case of the so-called digital moiré where one has an access to both gratings (specimen and reference). One can rescale their intensity ranges to [-1,+1] and superimpose them multiplicatively giving rise to a similar structure as obtained by above mentioned subtraction. Numerical studies confirm great potential of the FABEMD method in supporting the space domain interpretation of incoherent moiré superimpositions.
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Maciej Trusiak, Maciej Trusiak, Krzysztof Patorski, Krzysztof Patorski, } "Space domain interpretation of incoherent moiré superimpositions using FABEMD", Proc. SPIE 8697, 18th Czech-Polish-Slovak Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 869704 (18 December 2012); doi: 10.1117/12.2005907; https://doi.org/10.1117/12.2005907
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