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Emre Baspinar

Ph.D. student @ Alma Mater Studiorum Università di Bologna - Dipartimento di Matematica (UNIBO)

since 10/1/2014 for 3 years.

under the supervision of Prof. Giovanna Citti

Research

Physical motivation for our study is perceptual completion and formation of subjective surfaces performed on corrupted geometric structures in images. Main consideration for such image reconstruction procedure is compatibility of the reconstructed part with the existing contextual information in the corrupted image. In order to handle compatibility problem, we use the geometry of cortical based model of Citti-Sarti, which is the lifting in SE(2) and is motivated from visual cortex architecture. Reconstruction process via this model is realized as a diffusion driven motion by curvature. Therefore, we focus on mean curvature flow for reconstruction of corrupted parts of a surface. We can separate our study into two parts. In the first part, we study new methods, inspired by Bence-Merriman-Osher (BMO) numerical algorithm for tracking the evolution of a surface through time in both R and SE(2).

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Publications and Preprints


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