19 September 2017 A new similarity measure for complex amplitude holographic data
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In this research, we have adapted our recently proposed Versatile Similarity Measure (VSM) for holographic data analysis. This new measure benefits from nice mathematical properties like boundedness to [0;1], relative error weighting based on the magnitudes of the signals, steerable similarity between original and negative phase; symmetry with respect to ordering of the arguments and the regularity of at least a continuous function. Utilizing its versatile design, here we present a set of VSM constructions specifically tailored to best fit the characteristics of complex wavefield of holograms. Also performance analysis results are provided by comparing the proposed constructions as fast, stand-alone perceptual quality predictors to few available competitors of the field, namely MSE and the average SSIM of the real and imaginary parts of holograms. Comparing their visual quality prediction scores with the mean opinion scores (MOS) of the hologram reconstructions shows a significant gain for all of the VSM constructions proposed in this paper, paving the way towards designing highly efficient perceptual quality predictors for holographic data in the future and also representing the potential of utilizing VSM for other applications working with complex valued data as well.
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Ayyoub Ahar, Ayyoub Ahar, Tobias Birnbaum, Tobias Birnbaum, Christian Jaeh, Christian Jaeh, Peter Schelkens, Peter Schelkens, } "A new similarity measure for complex amplitude holographic data", Proc. SPIE 10396, Applications of Digital Image Processing XL, 103961I (19 September 2017); doi: 10.1117/12.2274761; https://doi.org/10.1117/12.2274761

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