Centre for Mathematics, University of Coimbra - Advances in Image Processing and Inverse Problems: Applications in Medical and Earth Observation Imagery, and Biomathematics (Desciption)

Advances in Image Processing and Inverse Problems: Applications in Medical and Earth Observation Imagery, and Biomathematics


Abstract:	This project focuses on the design and development of image processing and inverse methods for the solution of different problems arising in a variety of important applications, like medical and earth observation imagery, and biomathematics. The problems involve image segmentation, image registration, image denoising, as well as, parameter estimation, for which the intention is to apply partial differential equations and variational based methods, combined with methodologies from numerical mathematics and scientific computing.
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Methodology:	For the biomathematics problems, convection-diffusion equations, combined with homogenization and multiscale methods will be used for handling periodic or oscillatory structures and microstructures. These will be linked with PDE constrained optimization methods for estimating some physiologic parameters. For the image processing problems the main objective is to develop accurate lesion detectors in medical images, namely for identifying bleeding regions (in the small bowel) or colonic polyps (in the large bowel), in wireless capsule endoscopy images, or micro-aneurysms in ophthalmological images. Moreover efficient change detector functions for particular earth observation imagery (including satellite and radar images) will be studied.
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