ToolBox for Zernike polynomial surface_Fitting

I have to do surface fitting with a lot of measured data to Zernike polynomial surface. I think I have to install Toolbox to code this program. Let me know which toolboxes I have to buy.

(1) Symbolic Math Toolbox (2) Curve Fitting Toolbox (3) Optimization Toolbox

If Curve Fitting Toolbox just supports built-in function such as spline fitting, I think it's not useful to accomplish our object. Then, is the Optimization Toolbox more useful?

Please advise me for this.

Sincerely yours, Ryu

Answer 1

[John D'Errico]

You can find tools for evaluation of Zernike polynomials on the file exchange, here:

FEX: zernike-polynomial evaluation

That one claims to evaluate them, although it does not appear to perform modeling with them.

This next link claims to be able to estimate Zernike polynomials:

FEX: zernikecalc

Then I find this link for code which claims fast computation of radial Zernike polynomials:

FEX: fast-computation-of-zernike-radial-polynomials

I found some more code posted on Google groups (the old CSSM group)

Zernikes on CSSM

None of the tools listed above claimed to require any special toolboxes that I saw, and did not even require a new MATLAB release.

Were I to recommend any specific toolbox, I might consider the optimization toolbox, but first you would need to look clearly at what those tools provide.