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Eddy
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Here is my realisation of wavefront decomposition and restoration based on
Zernike polynomials (up to 100th order).
The base functions are:
double *zernfunR(int n, int m, int W, int H, double *norm);
calculates Zernike polynomial of order n and angular order m on
equidistance rectangular grid WxH (norm is NULL or value to store
sum(Z_i^2) for normalisation on decomposition.
double *zernfunNR(int p, int W, int H, double *norm);
the same but in Noll notation
double *Zdecompose(int Nmax, int W, int H, double *image, int *Zsz, int *lastIdx);
decompose image by Zernike polynomials with order <= Nmax,
Zsz is size of returned array (in Noll notation)
lastidx is last non-zero coefficient
double *Zcompose(int Zsz, double *Zidxs, int W, int H);
build image based on Zernike coeffs Zidxs
Zsz - size of array in Noll notation
W, H - size of future image
void set_prec(double val);
set precision of Zernike transforms