[SciPy-User] 2d inverse parabolic interpolation
Wed Aug 11 10:20:08 CDT 2010
On Aug 10, 8:49 pm, Neal Becker <ndbeck...@gmail.com> wrote:
> In 1-d, inverse parabolic interpolation is a useful operation. It is
> described in e.g., NRC sec 10.2 (Numerical Recipes in C).
> Is there an equivalent for 2d? Is there any scipy code?
in 2d you need of course 6 xyz points to fit z = a + bx + cy + dx^2
+ exy + fy^2
and even then may get a hyperbola, not a parabola or ellipse.
Nonetheless the idea is interesting for convex optimization
i.e. minimize 2 vars at once in a plane instead of 1 along a line
(but, correct me, convex opt in general is a mighty hammer looking for
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