Compact discrete polar coordinates transform for the restoration of rotational blurred image

In this paper, we present an innovative compact discrete polar coordinates transform for the identification and restoration of rotational blurred image. A relaxed solution of the transform function and its inverse is presented in discrete domain. Based on analysis and assumptions, interpolation is applied in the discrete polar domain to solve the problem of under sampling. The cost function of the compactness is introduced. Based on the experimental results, this coordinates transform can simplify the spatial variant problem to a spatial invariant problem

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