Geometrical , Topological , and Hierarchical Structuringof


A model of scene composed of 2D discrete objects is presented. A generalization of 2 1 2 D positioning features usually implemented in 2 1 2 D environments is given, treating object superimposition. The positioning representation lays on an explicit topological and geometrical encoding of object boundaries. This approach allows structured manipulations of objects (intersection, combination, : : :) as it is Euclidean 2D objects and eecient redisplay of scene, such that every modiied pixel is drawn exactly once. Moreover, this model is consistent from a geometrical and topological point of view and allows the construction of a scene from a digital image.

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@inproceedings{BRAQUELAIRE2007GeometricalT, title={Geometrical , Topological , and Hierarchical Structuringof}, author={Jean-Pierre BRAQUELAIRE and Jean-Philippe Domenger}, year={2007} }