On eigenstructure-based direct multichannel blind image restoration

Hung-Ta Pai, Alan Conrad Bovik · IEEE Transactions on Image Processing · 2001

Existing eigenstructure-based direct multichannel blind image restoration techniques include nullspace-based and direct deconvolver estimation techniques. The nullspace-based approach can be formulated as an optimization problem. We show that this formulation implies a new subspace-based approach that uses matrix operations. This new approach has the same advantages as the nullspace-based one but requires less computational complexity. Under some mild conditions, its complexity is equal to that of the FFT. Furthermore, the relation among the nullspace-based approach, the direct deconvolver estimation and the new subspace-based approach is studied.

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