Title
A Fast Parallel Algorithm for Convex Hull Problem of Multi-Leveled Images
Abstract
In this paper, we propose a parallel algorithm to solve the convex hull problem for an (n×n) multi-leveled image using a reconfigurable mesh connected computer of the same size as a computational model. The algorithm determines parallely the convex hull of all the connected components of the multileveled image. It is based on some geometric properties and a top-down strategy. The complexity of the algorithm is O(log n) times. Using some approximations on the component contours, this complexity is reduced to O(log m) times where m is the number of the vertices of the convex hull of the biggest component of the image.This complexity is reached thanks to the polymorphic properties of the mesh where all the components are simultaneously and separately processed.
Year
DOI
Venue
2002
10.1023/A:1015083706590
Journal of Intelligent and Robotic Systems
Keywords
Field
DocType
reconfigurable mesh computer,convex hulls,image processing,parallel processing
Orthogonal convex hull,Discrete mathematics,Alpha shape,Control theory,Convex combination,Convex hull,Algorithm,Convex set,Convex polytope,Output-sensitive algorithm,Gift wrapping algorithm,Mathematics
Journal
Volume
Issue
ISSN
33
3
1573-0409
Citations 
PageRank 
References 
2
0.39
9
Authors
3
Name
Order
Citations
PageRank
Omar Bouattane11110.43
J. Elmesbahi241.11
A. Rami330.75