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Stangalini M, Del Moro D, Berrilli F, et al. Zernike basis optimization for solar adaptive optics by using information theory. Appl Opt. 2010;49(11):2090-4doi: 10.1364/AO.49.002090.
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), 2090-4. https://doi.org/10.1364/AO.49.002090
Stangalini, Marco, et al. "Zernike basis optimization for solar adaptive optics by using information theory." Applied optics vol. 49,11 (2010): 2090-4. doi: https://doi.org/10.1364/AO.49.002090
Stangalini M, Del Moro D, Berrilli F, von der Lühe O. Zernike basis optimization for solar adaptive optics by using information theory. Appl Opt. 2010 Apr 10;49(11):2090-4. doi: 10.1364/AO.49.002090. PMID: 20390010.
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Appl Opt. 2010 Apr 10;49(11):2090-4. doi: 10.1364/AO.49.002090.

Zernike basis optimization for solar adaptive optics by using information theory.

Applied optics

Marco Stangalini, Dario Del Moro, Francesco Berrilli, Oskar von der Lühe

Affiliations

  1. Dipartimento di Fisica, Università degli Studi di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133 Rome, Italy. [email protected]

PMID: 20390010 DOI: 10.1364/AO.49.002090

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.

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