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» Adaptive Algorithms for Planar Convex Hull Problems
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CCCG
2009
13 years 8 months ago
On Directed Graphs with an Upward Straight-line
In this paper we study the problem of computing an upward straight-line embedding of a directed graph G into a point set S, i.e. a planar drawing of G such that each vertex is map...
Carla Binucci, Emilio Di Giacomo, Walter Didimo, A...
WADS
1995
Springer
107views Algorithms» more  WADS 1995»
13 years 11 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
ALGORITHMICA
1998
143views more  ALGORITHMICA 1998»
13 years 7 months ago
On Minimum-Area Hulls
Abstract. We study some minimum-area hull problems that generalize the notion of convex hull to starshaped and monotone hulls. Specifically, we consider the minimum-area star-shap...
Esther M. Arkin, Yi-Jen Chiang, Martin Held, Josep...
COMPGEOM
2007
ACM
13 years 11 months ago
On the hardness of minkowski addition and related operations
For polytopes P, Q Rd we consider the intersection P Q; the convex hull of the union CH(P Q); and the Minkowski sum P + Q. We prove that given rational H-polytopes P1, P2, Q it...
Hans Raj Tiwary
FOCS
2009
IEEE
14 years 2 months ago
Instance-Optimal Geometric Algorithms
We prove the existence of an algorithm A for computing 2-d or 3-d convex hulls that is optimal for every point set in the following sense: for every set S of n points and for ever...
Peyman Afshani, Jérémy Barbay, Timot...