Retrieval of astronomical images using the Hartley transform

Details Retrieval of astronomical images using the Hartley transform Retrieval of astronomical images using the Hartley transform

Feb 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993azh....70..201b&link_type=abstract

Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 70, no. 1, p. 201-208.

Mathematics

2

Astronomical Photography, Image Reconstruction, Transformations (Mathematics), Algorithms, Image Processing, Nonlinear Equations

Scientific paper

Methods for retrieving astronomical images based on Tikhonov's regularization theory are described. The linear algorithm minimizes the objective function (Tikhonov's functional) without any constraints; it employs the 2D fast Hartley transform procedure. For the minimization, the nonlinear algorithm uses the method of gradient projection on a nonnegative function set. The nonlinear constraint makes it possible to take a priori information about the solution into account and leads to improved results and to superresolution. The Hartley transform is also used to calculate the objective function and the gradient in the spatial frequency domain. Results of numerical experiments and the image retrieval of the M 31 nucleus are presented.

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