IEEE.org| IEEE Xplore Digital Library| IEEE Standards| IEEE Spectrum| More Sites

Cart (Loading....) | Create Account | 

Close category search window
Author Searchbeta |  Advanced Search  |  Preferences |  Search Tips  |  More Search Options  
 
Browse Conference Publications > Voronoi Diagrams, 2009. ISVD ... Help

On Kinetic Line Voronoi Operations and Finite Fields

Full Text Sign-In or Purchase

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing! close button
puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

4 Author(s)
Mioc, D. ; Nat. Space Inst., Tech. Univ. of Denmark, Lyngby, Denmark ; Anton, F. ; Gold, C. ; Moulin, B.

In this paper, we show an isomorphism between the set of complex operations on the kinetic Voronoi diagram of points and open oriented line segments and the sets of numbers of new / deleted Voronoi regions induced by these operations, and its explanation using the finite field of residual classes of integers modulo 5: F5 = Z/5Z. We show also an isomorphism between the set of complex operations on the kinetic Voronoi diagram of points and open oriented line segments and the set of differences of new and deleted quad-edge edges induced by these operations, and its explanation using the finite field F15 = Z/15Z. We show finally the application of these theoretical results to the logging of a kinetic line Voronoi data structure.

Published in:
Voronoi Diagrams, 2009. ISVD '09. Sixth International Symposium on

Date of Conference: 23-26 June 2009

Page(s):
65 - 70
E-ISBN :
978-0-7695-3781-8
Print ISBN:
978-1-4244-4769-5
INSPEC Accession Number:
11034976
Conference Location :
Copenhagen
Digital Object Identifier :
10.1109/ISVD.2009.39
Product Type:
Conference Publications

IEEE Account

Purchase Details

Profile Information

Need Help?


IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2013 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.