Processing of Flat and Non-flat Image Information on Arbitrary Manifolds Using Partial Differential Equations
نویسنده
چکیده
In this work we have tried to solve several problems that involve scalar and vectorial image information lying on the plane or on 3D surfaces. We will present and discuss four novel algorithms devised to solve those problems: tracking of objects in movies, tracking of regions on deforming 3D surfaces, restoration of damaged pictures, removal of objects from images, and solving of PDE’s on implicit surfaces for denoising, texture synthesis and flow visualization. Examples are shown and future lines of research are suggested, both to improve performance and to extend the present techniques to new applications.
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