Polynomial approxiamation


Chernomor
05-23-2004, 03:31 AM
Has anyone here heard about Zernike orthogonal polynomials?
Well, I have a problem of computing fitting coefficients for a set of data.
In details, I'm given an array with some values defined on the cirlce at the certain points inside this circle. I need to approximate this data with Zernike polynomials.
Well I just need a person who could describe me a step-by-step algorithm.
I'm ready to give additional information.
Probably, this explanation is not quite full, but.... that's all I can express in English for this moment.
:rolleyes: :confused: Here is more info about Zernike polynomials
http://research.opt.indiana.edu/Library/HVO/Handbook_NF.html#Chap1

jaje
07-22-2004, 06:34 AM
You may want to look here:

Zernike Polynomial (MathWorld)
http://mathworld.wolfram.com/ZernikePolynomial.html

or look at http://www.optics.arizona.edu/jcwyant/Zernikes/ZernikePolynomialsForTheWeb.pdf

Hope this helps.

Jan M. (^_^)

kutta
04-10-2007, 08:49 AM
Has anyone here heard about Zernike orthogonal polynomials?
Well, I have a problem of computing fitting coefficients for a set of data.
In details, I'm given an array with some values defined on the cirlce at the certain points inside this circle. I need to approximate this data with Zernike polynomials.
Well I just need a person who could describe me a step-by-step algorithm.
I'm ready to give additional information.
Probably, this explanation is not quite full, but.... that's all I can express in English for this moment.
:rolleyes: :confused: Here is more info about Zernike polynomials
http://research.opt.indiana.edu/Library/HVO/Handbook_NF.html#Chap1

Hello Chernomor,pl expedite this javaprog :)