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Image decomposition models into cartoon and texture
Applied Math| Speaker: | Luminita Vese, University of California, Los Angeles |
| Location: | 693 Kerr |
| Start time: | Fri, Dec 2 2005, 4:10PM |
Description
In this talk, I will present new variational models for
decomposing a given image into a geometric, piecewise-smooth component u,
and an oscillatory component v (texture or noise). To model u, we use
the standard space of functions of bounded variations. However, to model
v, we use weaker norms than the standard L^2 norm, motivated by remarks
of Y. Meyer and of D. Mumford-B. Gidas. In particular, v is modeled as a
generalized function
in a dual space (for instance, in Sobolev spaces with negative exponent,
in div(BMO), or in generalized homogeneous Besov spaces). Computational
techniques and improved results will be presented. This is joint work with
Triet Le and Linh Lieu.