Scale-sensitive (multiscale) deconvolution of astronomical interferometric images

Physics – Optics

Scientific paper

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Scientific paper

We describe a scale sensitive deconvolution algorithm for interferometric images. An ideal sky model should be able to pick up correlated emission on all scales and of all shapes. Though the problem can be well formulated mathematically, there are two issues: (1) it is computationally prohibitive, and (2) the choice of an appropriate basis to represent the image is not clear. The work presented here is an interim step towards developing a fully scale sensitive deconvolution algorithm which is computationally efficient as well. This approach, though restrictive as compared to the most general model for the sky, is an enormous improvement over other scale insensitive algorithms and forms the logical limit of multi-resolution CLEAN approach. The sky image is represented using parameterized basis functions with finite support and the algorithm solves for these parameters. The computational load in this approach is reduced by working with an analytical approximation of the Point Spread Function.

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