The 71st Midwest Partial Differential Equations Seminar May 11-12, 2013 Room TBA East Hall University of Michigan Ann Arbor, MI   Abstract Detail   Title: Analysis of an adaptive diffusion constrained total variation scheme in image decomposition We consider the image decomposition problem with a variational - partial differential equation (PDE) model. Following Y. Meyer result (Y. Meyer, Oscillating patterns in image processing and nonlinear evolution equations, AMS, 2001) connecting the total variation (TV) with scale of objects in an image, we utilize a linear inhomogenuous linear diffusion constrained TV scheme. An adaptive weight along with TV regularization splits a given image into three components representing the geometrical (cartoon), textural (small scale), and edges (big scale). We study the wellposedness of the coupled variational-PDE scheme along with an efficient convergent numerical scheme and compare with other variational, anisotropic diffusion PDE decomposition models. This is a joint work with Juan. C. Moreno (Univ. Beira Interior, Portugal), Dmitry Vorotnikov (Univ. Coimbra, Portugal) and K. Palaniappan (Univ. Missouri-Columbia, USA). Surya Prasath University of Missouri-Columbia Email:  prasaths@missouri.edu Phone: 5738256782   BACK to Speaker Listing BACK to Conference Home   Sponsors National Science Foundation, Department of Mathematics at the University of Michigan