I apologize up front if this post is vague. My last trig lessons were
35 years ago.
I've been reading Anthony's examples on displacement maps.
I'm working on an script that uses a displacement map to "bend" an
image, that is, to make the left side of the image curve inward and
the right side to curve outward, while leaving the top and bottom
straight and parallel. If I use a displacement map with a gradient
that changes linearly from black in the middle to gray50 on the top
and bottom, the image sides become v-shaped, not curved. (I hope this
is clear.)
Instead of changing linearly, the intensities in the gradient must
change on a curve, that curve being part of the perimeter of a circle
having a specified radius. The radius of the circle defines how deep
the curves on the sides are.
I have code that produces the displacement map using some simple trig
functions to compute each intensity, but it seems to me that this
problem is probably already has a solution and I'm just ignorant of
it. Is there a function in ImageMagick that will produce such a
displacement map?
If necessary I can produce the code (it's in Ruby) and the map I've
got now.
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