University of Minnesota
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Junior Colloquium

Singular Value Decomposition and Deblurring of Images

Jose Orozco-Rodriguez

The purpose of this talk is to acquaint the audience with the concepts ill-posedness and regularization. To do this, we consider a specific inverse problem: image deblurring. We attempt to regularize the solution to this problem, which is ill-posed, by using the singular value decomposition (SVD) of a matrix associated with the direct problem. To make the talk more self-contained and accessible to everybody, a good amount of time will be devoted to SVD itself.

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