IRMA-International.org: Creator of Knowledge
Information Resources Management Association
Advancing the Concepts & Practices of Information Resources Management in Modern Organizations

Data Visualization Using Weighted Voronoi Diagrams

Data Visualization Using Weighted Voronoi Diagrams
View Sample PDF
Author(s): Raghuveer Devulapalli (University of Minnesota, USA), Neil Peterson (University of Minnesota, USA)and John Gunnar Carlsson (University of Southern California, USA)
Copyright: 2015
Pages: 24
Source title: Geo-Intelligence and Visualization through Big Data Trends
Source Author(s)/Editor(s): Burçin Bozkaya (Sabanci University School of Management, Turkey)and Vivek Kumar Singh (Rutgers, The State University of New Jersey, USA & Massachusetts Institute of Technology, USA)
DOI: 10.4018/978-1-4666-8465-2.ch007

Purchase

View Data Visualization Using Weighted Voronoi Diagrams on the publisher's website for pricing and purchasing information.

Abstract

A Voronoi diagram is a standard spatial tessellation that partitions a domain into sub-regions based on proximity to a fixed set of landmark points. In order to maintain control over the size and shape of these sub-regions, a weighting scheme is often used, in which each landmark has a scalar value associated with it. This suggests a natural “inverse” problem: given a fixed set of landmark points in a given planar region and a set of “desired” areas, is it possible to calculate a set of weights so that each sub-region has a particular area? In this chapter, the authors give a fast scheme for determining these weights based on theory from convex optimization, which is then applied to a variety of problems in data visualization.

Related Content

Salwa Saidi, Anis Ghattassi, Samar Zaggouri, Ahmed Ezzine. © 2021. 19 pages.
Mehmet Sevkli, Abdullah S. Karaman, Yusuf Ziya Unal, Muheeb Babajide Kotun. © 2021. 29 pages.
Soumaya Elhosni, Sami Faiz. © 2021. 13 pages.
Symphorien Monsia, Sami Faiz. © 2021. 20 pages.
Sana Rekik. © 2021. 9 pages.
Oumayma Bounouh, Houcine Essid, Imed Riadh Farah. © 2021. 14 pages.
Mustapha Mimouni, Nabil Ben Khatra, Amjed Hadj Tayeb, Sami Faiz. © 2021. 18 pages.
Body Bottom