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Generalized Sampling: A Variational Approach. Part I: Theory
(IEEE, 2002-08)
We consider the problem of reconstructing a multidimensional vector function fin: Rm→Rn from a finite set of linear measures. These can be irregularly sampled responses of several linear filters. Traditional approaches ...
Generalized Sampling: A Variational Approach. Part II: Applications
(IEEE, 2002-08)
The variational reconstruction theory from a companion paper finds a solution consistent with some linear constraints and minimizing a quadratic plausibility criterion. It is suitable for treating vector and multidimensional ...