Generalized projection theorem for mapping with radio interferometers

Astronomy and Astrophysics – Astronomy

Scientific paper

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Image Reconstruction, Mapping, Projective Geometry, Radio Interferometers, Brightness Distribution, Fourier Transformation, Radio Astronomy, Very Long Base Interferometry

Scientific paper

A theorem, which provides a relationship between the one-dimensional Fourier transform of a line section across two-dimensional (spatial) spectrum and that across the corresponding (brightness) distribution function, is proved. The theorem is then shown to be relevant in some problems in radio astronomy and possibly in other fields connected with image reconstructions from one-dimensional scans through objects or their spectra.

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