Mathematics
Scientific paper
Apr 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985esasp.226..165l&link_type=abstract
In ESA Colloq. on Kilometric Opt. Arrays in Space p 165-169 (SEE N86-11096 01-89)
Mathematics
Image Reconstruction, Interpolation, Phase Deviation, Synthetic Apertures, Synthetic Arrays, Algorithms, Diffraction Patterns, Image Resolution, Robustness (Mathematics), Very Long Base Interferometry
Scientific paper
Reconstructing high resolution images from a sparsely sampled two dimensional frequency plane with synthetic aperture spaceborne interferometers is discussed. At the cost of compromise between resolution and robustness, the problem must be stated in terms of interpolation. Using the steepest descent method a very simple and powerful algorithm for interpolation with or without phase data is introduced. The constraint of nonnegativity on limited field is taken into consideration. The Fienup algorithm can be retrieved as a special case and improved by modifying its constraint operator and the implicit choice of its relaxation parameter.
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