On the Optimality of Valence-based Connectivity Coding

dc.contributor.authorGotsman, Craigen_US
dc.date.accessioned2015-02-16T07:30:16Z
dc.date.available2015-02-16T07:30:16Z
dc.date.issued2003en_US
dc.description.abstractWe show that the average entropy of the distribution of valences in valence sequences for the class of manifold 3D triangle meshes and the class of manifold 3D polygon meshes is strictly less than the entropy of these classes themselves. This implies that, apart from a valence sequence, another essential piece of information is needed for valence-based connectivity coding of manifold 3D meshes. Since there is no upper bound on the size of this extra piece of information, the result implies that the question of optimality of valence-based connectivity coding is still open.en_US
dc.description.number1en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume22en_US
dc.identifier.doi10.1111/1467-8659.t01-1-00649en_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages99-102en_US
dc.identifier.urihttps://doi.org/10.1111/1467-8659.t01-1-00649en_US
dc.publisherBlackwell Publishers, Inc and the Eurographics Associationen_US
dc.titleOn the Optimality of Valence-based Connectivity Codingen_US
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