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Notes on the discretization of TV-norm regularized inverse potential problems

Published: March 27, 2025 | arXiv ID: 2505.00710v1

By: L Baratchart, D P Hardin, C Villalobos-Guillén

Potential Business Impact:

Makes blurry images sharp by counting tiny parts.

Business Areas:
TV Media and Entertainment, Video

We describe a method to discretize optimization problems arising in the regularization of linear inverse problem having compact forward operator defined on 3-D valed measures, compactly supported on a fixed set. The criterion is a quadratic residual attached to the data, with an additive penalization of the total variation of the measure.

Page Count
16 pages

Category
Mathematics:
Optimization and Control