Department of Mathematics

Details

Integro-differential equations and multiscale representations

by Prashant Athavale | University of Toronto/Fields Institute
Time: 13:10  (Friday, Feb. 17, 2012)
Location: BA6183, Bahen Center, 40 St. George St.
Abstract:
In this talk we will discuss various aniosotropic PDEs methods for applications to image processing. We will then discuss integro-differential equations inspired from $(BV, L^2)$ and $(BV, L^1)$ decompositions. Although, the original motivation came from a variational approach, the resulting IDEs can be extended using standard techniques from PDE-based image processing. We use filtering, edge preserving and tangential smoothing to yield a family of modified IDE models with applications to image denoising and image deblurring problems.

Dates in this series

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· Friday, Apr. 16, 2010: Entropy method for line energies (Radu Ignat)

· Friday, May. 14, 2010: Semiclassical evolution for the nonlinear Schrödinger equation (Alessandro Selvitella)

· Thursday, Jul. 08, 2010: Improving sharp Hardy-Sobolev inequalities by optimal remainder norms (Adele Ferone)

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· Friday, Nov. 19, 2010: Coarsening in energy-driven systems (Dejan Slepcev)

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· Friday, Feb. 10, 2012: On Singularity Formation Under Mean Curvature Flow (Gang Zhou)

· Friday, Feb. 17, 2012: Integro-differential equations and multiscale representations (Prashant Athavale)

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