Title
Optimal encoding of triangular and quadrangular meshes with fixed topology
Abstract
Extending a bijection recently introduced by Poulalhon and Schaeffer (15) for triangulations of the sphere we design an efficient algorithm for encoding (topological) triangulations and bipartite quadrangulations on an ori- entable surface of fixed topology τ (given by the genus g and number of boundaries b). To our knowledge, our encoding procedure is the first to be asymptotically op- timal (in the information theory sense) with respect to two natural parameters, the number n of inner vertices and the number k of boundary vertices.
Year
Venue
Keywords
2010
CCCG
information theory
Field
DocType
Citations 
Information theory,Discrete mathematics,Combinatorics,Bijection,Polygon mesh,Vertex (geometry),Bipartite graph,Fixed topology,Asymptotically optimal algorithm,Mathematics,Encoding (memory)
Conference
1
PageRank 
References 
Authors
0.34
9
3
Name
Order
Citations
PageRank
Luca Castelli Aleardi1877.96
Eric Fusy2222.40
Thomas Lewiner370043.70