Diff Eq from a slope field?
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Is it possible to generate a differential equation from a slope field? I don''t have a lot of experience with DEs, but I was just toying with an idea about using DEs to dynamically generate terrain vertices and wondered if it was possible.
Since your slope field F of a height field H is given by (x being a vector, 2D in case of terrain construction):
F = (d/dx)H
you could use the differential equation:
(d/dx)H = F.
F = (d/dx)H
you could use the differential equation:
(d/dx)H = F.
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