Non-euclidean metrics and chordal space structures

Authors:
José Andrés Díaz Severiano;César Otero Gonzalez;Reinaldo Togores Fernandez;Cristina Manchado del Val
Affiliations:
Geographical Engineering and Graphical Expression Techniques Dept., Civil Engineering Faculty, University of Cantabria, Spain;Geographical Engineering and Graphical Expression Techniques Dept., Civil Engineering Faculty, University of Cantabria, Spain;Geographical Engineering and Graphical Expression Techniques Dept., Civil Engineering Faculty, University of Cantabria, Spain;Geographical Engineering and Graphical Expression Techniques Dept., Civil Engineering Faculty, University of Cantabria, Spain
Venue:
ICCSA'06 Proceedings of the 6th international conference on Computational Science and Its Applications - Volume Part I
Year:
2006

Citing 3
Cited 0

Computational geometry: an introduction

Computational geometry: an introduction
Power diagrams: properties, algorithms and applications

SIAM Journal on Computing
Voronoi diagrams—a survey of a fundamental geometric data structure

ACM Computing Surveys (CSUR)

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper proposes the use of the stereographic projection within the realm of Computational Geometry for the design of tree-dimensional space structures arising from planar power diagrams. In order that such structures (to which we apply the term Chordal) can approximate a broad catalogue of quadrics, it will be necessary to formulate this projection under non-Euclidean metrics.