Bart:
This is with really quick testing, but the "generic" scheme that corresponds to sharpening at 50% (with a deblur that falls halfway between EWA LanczosSharpest 3 and Lanczos 3, which happens to be about halfway between LanczosRadius 3 and LanczosSharp 3) looks quite good to me when used to enlarge.
Haloing is mild, the result is fairly sharp, it's not too aliased, and it actually sort of looks like an image taken slightly out of focus, which is pretty good for an enlargement. (There definitely are things to argue here...)
The usual artifacts are all there, but none of them jumps at you. Good in a not bad way, in other words.
Let's see if this opinion holds up with further testing etc.
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P.S. I've also tried the scheme that corresponds to maximal sharpening/deblur, a.k.a. LanczosSharpest 3, and given how sharp it is, it produces quite good looking results. It corresponds to
convert \( input.png -depth 16 -set colorspace sRGB -colorspace RGB \) \
\( -clone 0 -gamma 3 -define filter:lobes=4 -define filter:blur=0.88549061701764 -filter Lanczos -distort Resize 6400% -gamma 0.3333333333333333 \) \
\( -clone 0 -define filter:lobes=4 -define filter:blur=0.88549061701764 -filter Lanczos -distort Resize 6400% \) \
-delete 0 \
\( -clone 1 -colorspace gray -auto-level \) \
-compose over -composite \
-set colorspace RGB -colorspace sRGB \
output.png
(I've moved the -delete to, hopefully, free memory halfway through the pipeline. The syntax being that of a stack, what used to be -clone 2 is now -clone 1.)
Here are the results of a contrived test, which nonetheless I find quite telling, a 64x enlargement. The original is at the bottom (8x8 image).
P.S. I made a mistake and what is shown above is almost EWA LanczosSharpest 4 instead of EWA LanczosSharpest 3. See the following posts.