Article | REF: TE5235 V1

Inverse problems in signal and image processing

Authors: Guy DEMOMENT, Jérôme IDIER, Jean-François GIOVANNELLI, Ali MOHAMMAD-DJAFARI

Publication date: November 10, 2001, Review date: June 28, 2019

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3. Regularization

When the image ImA of a linear operator to be inverted is not closed, then the inverse A –1 , or the generalized inverse A , is not defined everywhere on and is not continuous. This is the case, for example, with non-degenerate (or non-finite rank) compact operators, and it's easy to see that the number of conditions in the problem is infinite. Appropriate solution techniques are then required,...

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Regularization