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SIAMCOMP
2000
97views more  SIAMCOMP 2000»
14 years 11 months ago
Dynamic Maintenance of Maxima of 2-d Point Sets
This paper describes an efficient scheme for the dynamic maintenance of the set of maxima of a 2-d set of points. Using the fact that the maxima can be stored in a staircase struct...
Sanjiv Kapoor
COMPGEOM
2004
ACM
15 years 5 months ago
Solution of Scott's problem on the number of directions determined by a point set in 3-space
Let P be a set of n points in Ê3 , not all in a common plane. We solve a problem of Scott (1970) by showing that the connecting lines of P assume at least 2n − 7 different dir...
János Pach, Rom Pinchasi, Micha Sharir
COMPGEOM
2010
ACM
15 years 5 months ago
On degrees in random triangulations of point sets
We study the expected number of interior vertices of degree i in a triangulation of a point set S, drawn uniformly at random from the set of all triangulations of S, and derive va...
Micha Sharir, Adam Sheffer, Emo Welzl
CCCG
2008
15 years 1 months ago
Recognition of Largest Empty Orthoconvex Polygon in a Point Set
An algorithm for computing the maximum area empty isothetic orthoconvex polygon among a set of n points in a rectangular region, is presented. The worst case time and space comple...
Subhas C. Nandy, Krishnendu Mukhopadhyaya, Bhargab...
DM
2006
68views more  DM 2006»
14 years 12 months ago
A note on maximally repeated sub-patterns of a point set
We answer a question raised by Brass on the number of maximally repeated sub-patterns in a set of n points in Rd. We show that this number, which was conjectured to be polynomial,...
Véronique Cortier, Xavier Goaoc, Mira Lee, ...