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Total variation and curves

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We discuss the approximation of data from one- and two-dimensional curves using total variation-based techniques. Our aim will be to minimise complexity among all functions which satisfy a criterion for approximation. Complexity will be measured by the number of local extreme values or variational properties of the functions. Our criteria for approximation will be based on a multiscale analysis of the residuals.

This talk is part of the Statistics series.

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