Physics
Scientific paper
Sep 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...183..170k&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 183, no. 1, Sept. 1987, p. 170-176.
Physics
1
Data Smoothing, Fourier Analysis, Image Reconstruction, Radio Physics, Computerized Simulation, Maximum Entropy Method, Statistical Analysis
Scientific paper
A direct surface smoothing procedure is proposed which efficiently estimates the sky image f from noisy and incomplete visibility observations z in the Fourier domain of f. The formulation of the reconstruction problem involves two steps: the construction of the pseudodata d, a suitable image domain representation of the visibilites, and the choice of an appropriate stabilizer. Efficient computational methods for direct surface smoothing are described. The observation times associated with radio astronomy measurements are used in the construction of d. The necessity of using a stabilizer in the reconstruction process is discussed. Simulations with noisy and incomplete visibility data of one-dimensional sky images are described. These demonstrate the good performance of direct surface smoothing and show that the stabilizers lead to more faithful reconstructions than the entropy stabilizers.
Anderssen Robert S.
Koch Inge
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