| 16:00-17:00 in MS 6229 Prashant Athavale (UCLA) Novel Integro-Differential Equations in Image Processing Abstract. The hierarchical ($BV, L^2$) multiscale image representation of
Tadmor, Nezzar and Vese, [2004], gives rise to a novelintegro-differential
equation (IDE) for a multiscale image representation.To this end, one
integrates in inverse scale space a succession ofrefined, recursive `slices'
of the image, which are balanced by a typicalcurvature term at the finer
scale. The importance of the IDE lies in thefact that even though its
motivation comes from a variational problem, wecan manipulate the IDE
suitable to our image processing needs. We proposedifferent forms of the IDE
with filtering, tangential smoothing, anddeblurring.
I will also present (time permitting) an IDE based on Chan, Esedoglu's
(BV, L^1) image decomposition with some new results.
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