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WADS
1995
Springer
107views Algorithms» more  WADS 1995»
13 years 9 months ago
Quadrangulations of Planar Sets
We consider the problem of obtaining “nice” quadrangulations of planar sets of points. For many applications “nice” means that the quadrilaterals obtained are convex if po...
Godfried T. Toussaint
CORR
2002
Springer
86views Education» more  CORR 2002»
13 years 5 months ago
Small Strictly Convex Quadrilateral Meshes of Point Sets
In this paper we give upper and lower bounds on the number of Steiner points required to construct a strictly convex quadrilateral mesh for a planar point set. In particular, we sh...
David Bremner, Ferran Hurtado, Suneeta Ramaswami, ...
CJCDGCGT
2005
Springer
13 years 11 months ago
On Convex Quadrangulations of Point Sets on the Plane
V. M. Heredia, Jorge Urrutia
COMBINATORICS
2004
84views more  COMBINATORICS 2004»
13 years 5 months ago
Planar Maps as Labeled Mobiles
We extend Schaeffer's bijection between rooted quadrangulations and welllabeled trees to the general case of Eulerian planar maps with prescribed face valences to obtain a bi...
J. Bouttier, P. Di Francesco, E. Guitter
CORR
2010
Springer
164views Education» more  CORR 2010»
13 years 5 months ago
Schnyder decompositions for regular plane graphs and application to drawing
Schnyder woods are decompositions of simple triangulations into three edge-disjoint spanning trees crossing each other in a specific way. In this article, we define a generalizatio...
Olivier Bernardi, Éric Fusy