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SIAMCOMP
2000
97views more  SIAMCOMP 2000»
13 years 9 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
14 years 3 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
14 years 3 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
13 years 11 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»
13 years 10 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, ...