Abstract

AbstractIn this paper, for certain classes of functions, we present analytical evaluations of double integral expressions representing approximations of the total variation seminorm. These calculations are carried out by using the Maple computer algebra software package in a sophisticated way.The derived expressions can be used for approximations of the total variation seminorm, and, in particular, can be used for efficient numerical total variation regularization energy minimization.KeywordsDouble IntegrationIntegral ExpressionTotal Variation SeminormQuadruple IntegralDetailed Convergence AnalysisThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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