If you are getting glitched with affine, you do not have the latest with at least the new -interpolate settings.
Also up until the latest release Affine was broken. It is now 9for the first time in years) properly fixed, though some cleanup work is still being looked at, though that only effects pixel level results.
Note an Afffine Transform can include the 45 degree rotation as part of the matrix, however working out the exact matrix needed is more difficult. I am developing external script which given the way 3 points are translated from source to destination, will return the affine matrix needed to produce that effect. It is however still being debugged.
see IM Examples
http://www.cit.gu.edu.au/~anthony/graph ... ne_scripts
How to scale an image to a isometric perspective?
- anthony
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Anthony Thyssen -- Webmaster for ImageMagick Example Pages
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https://imagemagick.org/Usage/