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This is due to the higher overall NEQ values of the "sharpen edges" filtered image calculated from the integral in (10).
The "sharpen edges" filter exhibits a CV of 0.630%.
From Table 3, the best filtering method, regarding resolution and noise, for all the spatial frequency ranges is still the "sharpen edges" filter.
Similarly, the "sharpen edges" filter was found to raise MTF at frequencies above 1.7 mm−1.7
who postulated that the microcalcifications were clearly more visible in the "sharpen edges" filtered image.
The image in the center (middle) has been filtered by the "sharpen edges" filter, while the image on the right has been filtered by the "sharpen more" filter.
In particular, the "sharpen edges" filtered image shows improved overall sharpness, providing more distinctive borders in the breast structures.
The "sharpen edges" image (FIQ T : 1906.1) appears sharper than the raw one, while no added noise is present.
In the medium to high spatial frequency range (2 5 mm−1), NEQ of the "sharpen edges" filtered image is clearly higher than the corresponding values of the raw image data.
This version of Photoshop incorporates three basic sharpening filters hereafter referred to as: (a) "sharpen," (b) "sharpen more," and (c) "sharpen edges".
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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