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Re: polar interpolation [message #33519]

Fri, 10 January 2003 08:05

James Kuyper
Messages: 425
Registered: March 2000

Senior Member

Thomas Gutzler wrote:
>
> Good morning,
>
> I am looking for a function that can do a polar interpolation of a
> [2,n]-array.
> What I don't want is to convert polar koordinates to rect, interpolate,
> and reconvert them to polar.

If you have data that comes close to the pole, that's precisely what you
should do. Otherwise, you're going to see some very bizarre results in
that vicinity. The pole is a singular point in that coordinate system,
and you can only approach it by using a coordinate system where it isn't
a singular point.

If you don't come close to the pole, you should be able to use ordinary
interpolation routines, treating rho, theta as if they were x and y.
That won't produce exactly the right results, but anything that produces
exactly the right results is going to be mathematically equivalent to
converting back to rectangular coordinates.

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[Message index]

		Re: polar interpolation By: James Kuyper on Fri, 10 January 2003 08:05
		Re: polar interpolation By: wmconnolley on Fri, 10 January 2003 02:28
		Re: polar interpolation By: Stein Vidar Hagfors H[2] on Mon, 13 January 2003 09:12
		Re: polar interpolation By: Thomas Gutzler on Sun, 12 January 2003 18:33

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