English

Spherical Layout Implementation using Centroidal Voronoi Tessellations

Computational Geometry 2009-12-22 v1

Abstract

The 3D tree visualization faces multiple challenges: the election of an appropriate layout, the use of the interactions that make the data exploration easier and a metaphor that helps in the process of information understanding. A good combination of these elements will result in a visualization that effectively conveys the key features of a complex structure or system to a wide range of users and permits the analytical reasoning process. In previous works we presented the Spherical Layout, a technique for 3D tree visualization that provides an excellent base to achieve those key features. The layout was implemented using the TriSphere algorithm, a method that discretized the spheres's surfaces with triangles to achieve a uniform distribution of the nodes. The goal of this work was centered in a new algorithm for the implementation of the Spherical layout; we called it the Weighted Spherical Centroidal Voronoi Tessellations (WSCVT). In this paper we present a detailed description of this new implementation and a comparison with the TriSphere algorithm.

Keywords

Cite

@article{arxiv.0912.3974,
  title  = {Spherical Layout Implementation using Centroidal Voronoi Tessellations},
  author = {Martin Larrea and Dana Urribarri and Sergio Martig and Silvia Castro},
  journal= {arXiv preprint arXiv:0912.3974},
  year   = {2009}
}
R2 v1 2026-06-21T14:26:17.438Z