Physics – Optics
Scientific paper
Nov 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990spie.1351...38l&link_type=abstract
IN: Digital image synthesis and inverse optics; Proceedings of the Meeting, San Diego, CA, July 9-13, 1990 (A92-18776 05-74). Be
Physics
Optics
Homology, Image Reconstruction, Radar Imagery, Very Long Base Interferometry, Aberration, Convolution Integrals, Spectrum Analysis, Transfer Functions
Scientific paper
In order to develop image-reconstruction algorithms an analysis is conducted of the homological structures inherent in interferometric and imaging mechanisms. Theoretical treatment is given to two operators that describe the logarithm of the transfer function: the phase and amplitude aberrations. The concept of phase and amplitude closures is introduced to characterize the algebraic structures of interferometry in higher-order spectral analysis by means of compilation operators. The operators permit the derivation of spectral information in terms of the aberration operator or the solution for the generalized inverses of the closure operators. The singular value decompositions of the aberration operators and the closure operators are conducted. The analysis confirms the usefulness of homogeneous arrays and shows that the quality of higher-order spectral data depends on it's quality when projected onto the range of the phase or amplitude operator.
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