Rank: 750 based on 96 downloads (last 30 days) and 5 files submitted
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Paul Fricker

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Files Posted by Paul View all
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07 Nov 2011 Screenshot Pseudo-Zernike Functions Computes the pseudo-Zernike functions (an orthogonal basis on the unit disk). Author: Paul Fricker image processing, mathematics, physics, optics 19 0
24 Oct 2011 Screenshot Zernike polynomials Zernike polynomials and functions (orthogonal basis on the unit circle). Author: Paul Fricker orthogonal basis, optics, zernike, physics, chemistry, circular domain 62 16
  • 4.66667
4.7 | 15 ratings
24 Oct 2011 Screenshot Gavrielides functions. Computes the Gavrielides functions of order N and frequency M on the unit circle. Author: Paul Fricker mathematics, medical, physics 5 0
12 Oct 2006 Screenshot showregions.m Display selected regions of a label matrix. Author: Paul Fricker gui, display, annotation, bwlabel, watershed, label matrix 6 1
  • 4.5
4.5 | 2 ratings
06 Jan 2003 quadcc Numerical integration using Clenshaw-Curtis quadrature. Author: Paul Fricker integration, intergration, quadrature, clenshawcurtis, mathematics 4 1
  • 5.0
5.0 | 1 rating
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14 Nov 2011 Zernike polynomials Zernike polynomials and functions (orthogonal basis on the unit circle). Author: Paul Fricker Shahab

Hi,

Does anybody know about the discrete Zernike Transform (DZT)?
I am so eager to implement that.

thank you in advance
14 Nov 2011 Zernike polynomials Zernike polynomials and functions (orthogonal basis on the unit circle). Author: Paul Fricker Vic

Thanks for the code! I have a question about the unit of the zernike polynomials generated by this code, is it in [number of waves] or [micrometer]?

Thanks again!
10 Mar 2011 Zernike polynomials Zernike polynomials and functions (orthogonal basis on the unit circle). Author: Paul Fricker Graetzel, Chauncey

I was running into problems when using my fitted terms in another program: the same coefficients did not give the same surface.
I found the cause: the cosine and sine terms are inverted in zernfun. M>0 should be a cosine, while M<0 should be a sine.

I've corrected this, starting at line 193

if any(idx_pos)
    z(:,idx_pos) = y(:,idx_pos).*cos(theta*m(idx_pos)');
end
if any(idx_neg)
    z(:,idx_neg) = y(:,idx_neg).*sin(theta*-m(idx_neg)');
end

% note the required sign change "-m" in the sine term
30 Aug 2010 Zernike polynomials Zernike polynomials and functions (orthogonal basis on the unit circle). Author: Paul Fricker Bob

Very great functions! But the normalization with the 'norm' - option seems to be wrong. I've changed in:

zernfun.m

% For the normalized polynomials the line 177:
y(:,j) = y(:,j)*sqrt((1+(m(j)~=0))*(n(j)+1)/pi);

% I have to replaced by:
if m(j)==0
        y(:,j) = y(:,j)*sqrt((n(j)+1));
else
        y(:,j) = y(:,j)*sqrt(2*(n(j)+1));
end
30 Mar 2010 Zernike polynomials Zernike polynomials and functions (orthogonal basis on the unit circle). Author: Paul Fricker Elia

I am still becoming accustomed to MATLAB. When I run the zernfun.m by itself without any modifications, I get this error

??? Input argument "n" is undefined.
Error in ==> zernfun at 88
if ( ~any(size(n)==1) ) || ( ~any(size(m)==1) ).

However, when I initialized n, m, r, & theta, I get this error

??? Maximum recursion limit of 500 reached. Use set(0,'RecursionLimit',N)
to change the limit. Be aware that exceeding your available stack space can
crash MATLAB and/or your computer.

Error in ==> meshgrid

Does anybody have any thoughts about making zernfun.m to work? Any help would be greatly appreciated.
Top Tags Applied by Paul
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mathematics, physics, optics, annotation, bwlabel
Files Tagged by Paul View all
  • 1 - 5 of
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Updated   File Tags Downloads
(last 30 days) 		Comments Rating
07 Nov 2011 Screenshot Pseudo-Zernike Functions Computes the pseudo-Zernike functions (an orthogonal basis on the unit disk). Author: Paul Fricker image processing, mathematics, physics, optics 19 0
24 Oct 2011 Screenshot Zernike polynomials Zernike polynomials and functions (orthogonal basis on the unit circle). Author: Paul Fricker orthogonal basis, optics, zernike, physics, chemistry, circular domain 62 16
  • 4.66667
4.7 | 15 ratings
24 Oct 2011 Screenshot Gavrielides functions. Computes the Gavrielides functions of order N and frequency M on the unit circle. Author: Paul Fricker mathematics, medical, physics 5 0
12 Oct 2006 Screenshot showregions.m Display selected regions of a label matrix. Author: Paul Fricker gui, display, annotation, bwlabel, watershed, label matrix 6 1
  • 4.5
4.5 | 2 ratings
06 Jan 2003 quadcc Numerical integration using Clenshaw-Curtis quadrature. Author: Paul Fricker integration, intergration, quadrature, clenshawcurtis, mathematics 4 1
  • 5.0
5.0 | 1 rating

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