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Representations succinctes optimales pour les maillages

Summary: Repr´esentations succinctes
optimales pour les maillages
Luca Castelli Aleardi
(en collaboration avec Olivier Devillers et Gilles Schaeffer)
19 octobre 2006, ENST Paris
Projet Geometrica LIX
INRIA Sophia-Antipolis Ecole Polytechnique
Repr´esentations succinctes optimales pour les maillages ­ p.1/35
Succinct and compact representations
Given a class Cm of objects of size m, the goal is to design a
space efficient data structure such that:
ˇ queries on objects are answered in constant time;
ˇ the encoding is succinct: the cost of an object R Cm
matches asymptotically the entropy of the class
size(R) = log2 Cm (1 + o(1))
ˇ or compact: we content of a cost
size(R) = O(log2 Cm )
ˇ for dynamic data structures: updates are supported in
m) amortized time


Source: Aleardi, Luca Castelli - Département d'Informatique, Université Libre de Bruxelles


Collections: Computer Technologies and Information Sciences