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COMPGEOM
2009
ACM
13 years 11 months ago
Computing hereditary convex structures
Color red and blue the n vertices of a convex polytope P in R3 . Can we compute the convex hull of each color class in o(n log n)? What if we have χ > 2 colors? What if the co...
Bernard Chazelle, Wolfgang Mulzer
ICPR
2008
IEEE
14 years 6 months ago
Robust decomposition of a digital curve into convex and concave parts
We propose a linear in time and easy-to-implement algorithm that robustly decomposes a digital curve into convex and concave parts. This algorithm is based on classical tools in d...
Tristan Roussillon, Isabelle Sivignon, Laure Tougn...
IPPS
2002
IEEE
13 years 10 months ago
An Associative Static and Dynamic Convex Hull Algorithm
This paper presents a new static and dynamic recursive parallel algorithm for the convex hull problem. This algorithm is a parallel adaptation of the Graham Scan and Quick Hull al...
Maher M. Atwah, Johnnie W. Baker
COMPGEOM
2011
ACM
12 years 8 months ago
Three problems about dynamic convex hulls
We present three results related to dynamic convex hulls: • A fully dynamic data structure for maintaining a set of n points in the plane so that we can find the edges of the c...
Timothy M. Chan
SODA
2010
ACM
176views Algorithms» more  SODA 2010»
14 years 2 months ago
Self-improving Algorithms for Convex Hulls
We describe an algorithm for computing planar convex hulls in the self-improving model: given a sequence I1, I2, . . . of planar n-point sets, the upper convex hull conv(I) of eac...
Kenneth L. Clarkson, Wolfgang Mulzer, C. Seshadhri