Iterations begin with an initial guess for the image model. ![]() For both transforms, direction dependent instrumental effects can be accounted for via carefully constructed convolution functions. The image to data transform is called the prediction step and it evaluates the measurementĮquation to convert a model of the sky brightness into a list of model visibilities that are later subtracted from the data to form residual visibilities. This step is equivalent to calculating the normal equations as part of a least squares solution. Operationally, weighted visibilities are convolutionally resampled onto a grid of spatial-frequency cells, inverse Fourier transformed, and normalized. ![]() Image reconstruction in radio interferometry is the process of solving the linear system of equations \(\vec]\) is computed and applied to the visibilities.
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