Title
On the union of k-curved objects
Abstract
A (not necessarily convex) object C in the plane is kappa-curved for some constant 0 < kappa < 1, if it has constant description complexity, and for each point p on the boundary of C, one can place a disk B subset of or equal to C of radius kappa . diam(C) whose boundary passes through p. We prove that the combinatorial complexity of the boundary of the union of a set C of n kappa-curved objects (e.g., fat ellipses or rounded heart-shaped objects) is O(lambda(s) (n) log n), for some constant s. (C) 1999 Elsevier Science B.V. All rights reserved.
Year
DOI
Venue
1999
10.1016/S0925-7721(99)00036-X
Symposium on Computational Geometry 2013
Keywords
DocType
Volume
k-curved object
Journal
14
Issue
ISSN
Citations 
4
0925-7721
12
PageRank 
References 
Authors
0.69
0
2
Name
Order
Citations
PageRank
Alon Efrat1131293.92
Matthew J. Katz222519.92