Total variation and curves
Seminar Room 2, Newton Institute Gatehouse
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.