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In contrast with the widely used morphological wavelet, the filters in AMULW are no longer fixed.
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1D Morphological wavelet transformation using min-lifting scheme (minLift).
Morphological wavelet decomposition using minLift wavelet is both gray-shift invariant and gray-multiplication invariant [37].
MW-PSNR uses morphological wavelet decomposition of the reference and the DIBR-synthesized images.
The MUDW scheme is developed based on the morphological wavelet (MW) theory for both the extraction of impulse features and noise smoothing in signal processing.
When the morphological wavelet decomposition is used in the first stage of morphological multi-scale IQA framework, multi-scale wavelet mean squared error (MW-MSE) is calculated as weighted sum of ( mathit{mathsf{M}}mathit{mathsf{S}}{mathit{mathsf{E}}}_{mathit{mathsf{j}}mathit{mathsf{i}}} ) values for all subbands at all scales of the two wavelet representations as final pooling (11).
Both separable and true non-separable morphological wavelet decompositions using the lifting scheme have been investigated.
We have explored both separable and true non-separable morphological wavelet decompositions using the lifting scheme.
More precisely, two types of morphological multi-scale decompositions for the multi-scale image quality assessment (IQA) have been explored: morphological bandpass pyramid decomposition in the Morphological Pyramid Peak Signal-to-Noise Ratio measure (MP-PSNR) and morphological wavelet decomposition in the Morphological Wavelet Peak Signal-to-Noise Ratio measure (MW-PSNR).
A general and flexible approach for the construction of non-linear morphological wavelets in the spatial domain is provided by the lifting scheme using morphological lifting operators in prediction (P) step and update (U) step [35], Fig. 5.
In this section, the performances of the Morphological Wavelet Peak Signal-to-Noise Ratio measure, MW-PSNR, are analyzed.
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