[SciPy-user] interpolation questions
Thu Jun 25 03:54:01 CDT 2009
On Thu, Jun 25, 2009 at 1:07 AM, David J Strozzi<firstname.lastname@example.org> wrote:
> I have a few questions about interpolation in scipy. First, it would
> be nice if the documentation included a concrete example, for
> Now for my actual problem: I am specifying some profiles for a
> physics simulation, and would like to give a few (x,y) pairs and have
> a nice, smooth interpolation. Actually, it is common for me to want
> to give extreme points, and get an interpolant that is monotonic and
> without overshoot on each interval. Splines (for order above linear)
> are well-known to be very 'smooth' (lots of continuous derivs) but
> suffer from overshoot and non-monotonicity.
> Perhaps there's a good solution to this in piecewise polynomials?
> But there's no sample usage and I got confused about what 'list of
> lists' for y to use.
> I know of an interpolant, made by some other Livermorons (Frisch?
> SIAM JNA ~1980), which maybe is called pchip in matlab (piecewise
> cubic hermite interpolating polynomial). It's supposed to be
> monotone and better than linear.
> Thanks for your help,
> SciPy-user mailing list
Just to get you started (I don't know anything about this)
help(interpolate.PiecewisePolynomial) is more informative than the online help
There are some examples in the tests in scipy\interpolate\tests\test_polyint.py
There have been questions about monotonic interpolation before on the
mailing list, but I've never seen a positive answer.
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