The Newton-Gauss regularized method - Application to point-spread-function determination in CCD frames

Details The Newton-Gauss regularized method - Application to point-spread-function determination in CCD frames The Newton-Gauss regularized method - Application to point-spread-function determination in CCD frames

Oct 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987aj.....94.1095b&link_type=abstract

Astronomical Journal (ISSN 0004-6256), vol. 94, Oct. 1987, p. 1095-1100.

Astronomy and Astrophysics

Astronomy

13

Astronomy, Charge Coupled Devices, Normal Density Functions, Parameter Identification, Point Spread Functions, Newton Theory, Nonlinear Systems, Numerical Stability, Stellar Models

Scientific paper

Modification of the Newton-Gauss linearization method in the Tikhonov regularization sense is described. Its ability to give reliable estimates of a large number of parameters is shown by application to the PSF determination from CCD frames. Extension of the Van Altena and Auer star-image model using a weighted sum of two Gaussians, and explicitly taking its integration on the pixel into account, enables the authors to determine the PSF up to about 10 mag below the central value with an error fit in the range 0.01 - 0.03 mag arcsec-2.

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