Multiple-object deconvolution (MODE) in support of imagery-based ATP classification of nonstationary TBM astronomical objects

Astronomy and Astrophysics – Astronomy

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Scientific paper

The aim of the present paper is to report preliminary results of development of the image post-processing techniques, called multiple object deconvolution (MODE) and super blind MODE (SBMODE), which are intended for joint restoration of the specified number of consecutive distorted images of a highly-evolving unknown extended object being observed in the presence of unknown phase distortions (PSF). The solution to the problem is treated in the context of incoherent shift-invariant imaging and it is conceptually based on the generalized projecting onto convex sets (POCS), requiring only the qualitative knowledge (isoplanaticity, linearity, finiteness, positivity). Mathematically, the stated task is reduced to solving a class of inverse optical problems being described in form of a system of M (M >= 2) convolution-type Fredholm integral equations containing a common unknown kernel (PSF). All the derived versions of the mODE are self-sufficient and they do recover fairly reliably the blurred images for general compact objects in a relatively small number of iterations. Brief theoretical analysis established uniqueness of a feasible solution and its close proximity to a true one under tolerance of poor (arbitrary) starting guesses. This versatile technique of new operators gives encouraging results, providing a basis for accurate image-based ATP, target 3D-shaping and behavioral classification in near-real-time. The (SB)MODE technique is open to the imagery application n astronomy and defense plus biomedical imaging, including microscopies.

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