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By applying the LBP operator to I T we obtain the LBP image I L. Fig. 7 shows the differences between the pit regions in I T, the pit regions in I T after applying the LBP variant as used in [17], and the same regions after transforming I T using the LBP operator based on block averaging and adaptive thresholding.
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In this study, a quantitative comparison was performed on two corrections, the Brett transform (i.e., "mni2tal"), and the Lancaster transform (i.e., "icbm2tal").
For data comparison, the results were appropriately transformed (i.e. wet or dry basis) when necessary.
As mentioned, some of them become easier under a Cole-Hopf transform; i.e., see [19].
The tuple's val field is transformed (i.e., processed) along the graph.
Finally, H is converted into frequency domain by applying Discrete Fourier Transform, i.e., Hrecon(f).
The waves from the probes are expressed as a Fourier transform, i.e. as a superposition of plane waves.
For data comparison, the reported results were appropriately transformed (i.e. wet or dry basis) when necessary.
Putatively transformed (i.e. hygromycin resistant) plants were potted in peat, hardened in a greenhouse and maintained until seed maturation.
Observed and predicted yield were then compared with non-spatial statistics, but also with wavelet transforms (i.e. the adapted maximal overlap discrete wavelet transform) and geostatistics (i.e. a linear mixed model estimated by residual maximum likelihood).
The Fourier transform of the core of the Hilbert transform, i.e., ⊖ t = 1 π ⋅ t (3) and (4) is ⊖ t = 1 π ⋅ t ⟶ TF − j ⋅ sgn , (5).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com