From IMAGeS team: IMages, leArning, Geometry and Statistics
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| − | == Description of Activities ==
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| − | My activities fall within the mathematics of discrete imagery: topology, geometry, measure.
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| − | ===== Discrete topology =====
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| − | I am interested in topological models for binary discrete images per se, that is, that do not depend on some underlying Euclidean reality.
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| − | This include the graph-theoretical approach or the cellular approach and does not exclude appealing to notions built on continuity, as homotopy, thanks to the use of partial orders on domains. Besides, I am working on extending such models to images whose codomains are partially ordered sets -- from labels images to grey-level images -- so we can take into account not only the topology of each object in an image but also the topological relations between these objects.
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| − | ===== Discretization =====
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| − | My works focus on Hausdorff distance based discretizations with the goal to extend such discretization schemes to grey-level and color images while describing their geometrical, topological and convergence properties.
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| − | ===== Estimation of geometrical parameters =====
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| − | I study how to start the construction of a measure and integration theory
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| − | on a discrete space that must have some convergence property towards the equivalent theory in the Euclidean space.
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| − | ===== Tomography =====
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| − | My research is concerned with deformable object reconctruction from non-oriented projections.
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| | == Publications == | | == Publications == |
Revision as of 23:24, 1 November 2017
