Karhunen-Loève functions represent the best choice for modal wavefront reconstruction. They are usually built up as a linear combination of Zernike polynomials by using principal component analysis methods; thus they are ordered by covariance. Using Shannon information theory, we provide a best reordering procedure based on the concept of mutual information. This enhances reconstruction efficiency, allowing us to reduce the basis dimension while maintaining the same fitting error in wavefront reconstruction
Stangalini, M., DEL MORO, D., Berrilli, F., von der Lühe, O. (2010). Zernike basis optimization for solar adaptive optics by using information theory. APPLIED OPTICS, 49(11), 2090-2094 [10.1364/AO.49.002090].
Zernike basis optimization for solar adaptive optics by using information theory
DEL MORO, DARIO;BERRILLI, FRANCESCO;
2010-04-01
Abstract
Karhunen-Loève functions represent the best choice for modal wavefront reconstruction. They are usually built up as a linear combination of Zernike polynomials by using principal component analysis methods; thus they are ordered by covariance. Using Shannon information theory, we provide a best reordering procedure based on the concept of mutual information. This enhances reconstruction efficiency, allowing us to reduce the basis dimension while maintaining the same fitting error in wavefront reconstruction| File | Dimensione | Formato | |
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