Removal and contraction operations to define combinatorial pyramids: application to the design of a spatial modeler

Abstract : Removal and contraction are basic operations for several methods conceived in order to handle irregular image pyramids, for multi-level image analysis for instance. We give the definitions of removal and contraction operations in the generalized maps framework. We propose a first experimentation of irregular pyramid as a basis for a discrete geometrical modeler that can handle both discrete and continuous representations of geometrical objects. This modeler is based on a pyramidal kernel with four coexisting levels between the discrete and the Euclidean representations. We describe how this pyramid can be constructed and updated.
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Image and Vision Computing, Elsevier, 2005, 23 (2), pp.259-269. <10.1016/j.imavis.2004.06.016>
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Guillaume Damiand, Martine Dexet, Pascal Lienhardt, Eric Andres. Removal and contraction operations to define combinatorial pyramids: application to the design of a spatial modeler. Image and Vision Computing, Elsevier, 2005, 23 (2), pp.259-269. <10.1016/j.imavis.2004.06.016>. <hal-00211776>

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