Discrete linear objects in dimension n: the standard model

Abstract : A new analytical description model, called the standard model, for the discretization of Euclidean linear objects (point, m-flat, m-simplex) in dimension n is proposed. The objects are defined analytically by inequalities. This allows a global definition independent of the number of discrete points. A method is provided to compute the analytical description for a given linear object. A discrete standard model has many properties in common with the supercover model from which it derives. However, contrary to supercover objects, a standard object does not have bubbles. A standard object is (n-1)-connected, tunnel-free and bubble-free. The standard model is geometrically consistent. The standard model is well suited for modelling applications.
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Contributeur : Eric Andres <>
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Dernière modification le : lundi 21 mars 2016 - 17:26:55
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Eric Andres. Discrete linear objects in dimension n: the standard model. Graphical Models, Elsevier, 2003, 65 (1-3), pp.92 - 111. 〈10.1016/S1524-0703(03)00004-3〉. 〈hal-00354729〉

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