zernike.hpp File Reference

Working with the Zernike polynomials. More...

Working with the Zernike polynomials.

Author

Jared R. Males (jared.nosp@m.male.nosp@m.s@gma.nosp@m.il.c.nosp@m.om)

Todo:

the basic zernike polys should be in math::func.

Definition in file zernike.hpp.

Go to the source code of this file.

Namespaces
	mx
	The mxlib c++ namespace.

Functions
int	mx::sigproc::noll_nm (int &n, int &m, int j)
	Get the Zernike coefficients n,m corrresponding the Noll index j. More...
int	mx::sigproc::noll_j (unsigned n, int m)
	Get the Noll index j corresponding to Zernike coefficients n,m. More...
int	mx::sigproc::nZernRadOrd (unsigned n)
	Get the number of Zernikes up to and including a radial order. More...
template<typename realT >
int	mx::sigproc::zernikeRCoeffs (std::vector< realT > &c, int n, int m)
	Calculate the coefficients of a Zernike radial polynomial. More...
template<typename realT , typename calcRealT >
realT	mx::sigproc::zernikeR (realT rho, int n, int m, std::vector< calcRealT > &c)
	Calculate the value of a Zernike radial polynomial at a given separation. More...
template<typename realT , typename calcRealT >
realT	mx::sigproc::zernikeR (realT rho, int n, int m)
	Calculate the value of a Zernike radial polynomial at a given separation. More...
template<typename realT , typename calcRealT >
realT	mx::sigproc::zernike (realT rho, realT phi, int n, int m, std::vector< calcRealT > &c)
	Calculate the value of a Zernike radial polynomial at a given radius and angle. More...
template<typename realT , typename calcRealT >
realT	mx::sigproc::zernike (realT rho, realT phi, int n, int m)
	Calculate the value of a Zernike radial polynomial at a given radius and angle. More...
template<typename realT , typename calcRealT >
realT	mx::sigproc::zernike (realT rho, realT phi, int j)
	Calculate the value of a Zernike radial polynomial at a given radius and angle. More...
template<typename arrayT , typename calcRealT , int overscan = 2>
int	mx::sigproc::zernike (arrayT &arr, int n, int m, typename arrayT::Scalar xcen, typename arrayT::Scalar ycen, typename arrayT::Scalar rad=-1)
	Fill in an Eigen-like array with a Zernike polynomial. More...
template<typename arrayT , typename calcRealT >
int	mx::sigproc::zernike (arrayT &arr, int j, typename arrayT::Scalar xcen, typename arrayT::Scalar ycen, typename arrayT::Scalar rad=-1)
	Fill in an Eigen-like array with a Zernike polynomial. More...
template<typename arrayT , typename calcRealT >
int	mx::sigproc::zernike (arrayT &arr, int n, int m, typename arrayT::Scalar rad=-1)
	Fill in an Eigen-like array with a Zernike polynomial. More...
template<typename arrayT , typename calcRealT >
int	mx::sigproc::zernike (arrayT &arr, int j, typename arrayT::Scalar rad=-1)
	Fill in an Eigen-like array with a Zernike polynomial. More...
template<typename cubeT , typename calcRealT >
int	mx::sigproc::zernikeBasis (cubeT &cube, typename cubeT::Scalar rad=-1, int minj=2)
	Fill in an Eigencube-like array with Zernike polynomials in Noll order. More...
template<typename realT >
realT	mx::sigproc::zernikeQNorm (realT k, realT phi, int n, int m)
	Calculate the square-normed Fourier transform of a Zernike polynomial at position (k,phi) More...
template<typename realT >
realT	mx::sigproc::zernikeQNorm (realT k, realT phi, int j)
	Calculate the square-normed Fourier transform of a Zernike polynomial at position (k,phi) More...
template<typename arrayT >
int	mx::sigproc::zernikeQNorm (arrayT &arr, arrayT &k, arrayT &phi, int j)
	Fill in an Eigen-like array with the square-normed Fourier transform of a Zernike polynomial. More...
template<typename realT >
realT	mx::sigproc::zernikePPiston (const realT &kD)
	Calculate the spatial power spectrum of Piston. More...
template<typename realT >
realT	mx::sigproc::zernikePTipTilt (const realT &kD)
	Calculate the spatial power spectrum of Tip & Tilt. More...
template<typename realT >
realT	mx::sigproc::zernikePDefocus (const realT &kD)
	Calculate the spatial power spectrum of Defocus. More...
template<typename realT >
realT	mx::sigproc::zernikePAstig (const realT &kD)
	Calculate the spatial power spectrum of Astigmatism. More...
template<typename realT >
realT	mx::sigproc::zernikePComa (const realT &kD)
	Calculate the spatial power spectrum of Coma. More...
template<typename realT >
realT	mx::sigproc::zernikePTrefoil (const realT &kD)
	Calculate the spatial power spectrum of Trefoil. More...