Generically sufficient conditions for exact multichannel blind image restoration

Hung-Ta Pai, John Havlicek, Alan Conrad Bovik · 2002

We have previously developed an algorithm and sufficient conditions for exact multichannel blind image restoration. In this paper, we use the resultant matrix theorem and techniques of algebraic geometry to prove that the sufficient conditions hold generically given three blurred versions of the same image and some restrictions on the size of the original image. Moreover, the extension to multichannel blind n-dimensional signal restoration is described.

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