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COMPGEOM
2009
ACM
15 years 4 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
15 years 10 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
15 years 2 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
14 years 1 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»
15 years 6 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