Space domain interpretation of incoherent moiré superimpositions using FABEMD

Maciej Trusiak; Krzysztof Patorski

doi:10.1117/12.2005907

18 December 2012 Space domain interpretation of incoherent moiré superimpositions using FABEMD

Maciej Trusiak, Krzysztof Patorski

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.

Citation Download Citation

Maciej Trusiak and 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); https://doi.org/10.1117/12.2005907

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