Open Access

ARTICLE

A Systematic Review of Algorithms with Linear-time Behaviour to Generate Delaunay and Voronoi Tessellations

by S,erson L. Gonzaga de Oliveira¹, Jéssica Renata Nogueira¹, JoãoManuel R. S. Tavares²

1 Departamento de Ciência da Computação, Universidade Federal de Lavras, Lavras, MG, Brazil, sanderson@dcc.ufla.br, jes.r.nogueira@gmail.com
2 Instituto de Engenharia Mecânica e Gestão Industrial, Departamento de Engenharia Mecânica, Faculdade de Engenharia, Universidade do Porto, Porto, Portugal, tavares@fe.up.pt

Computer Modeling in Engineering & Sciences 2014, 100(1), 31-57. https://doi.org/10.3970/cmes.2014.100.031

Abstract

Triangulations and tetrahedrizations are important geometrical discretization procedures applied to several areas, such as the reconstruction of surfaces and data visualization. Delaunay and Voronoi tessellations are discretization structures of domains with desirable geometrical properties. In this work, a systematic review of algorithms with linear-time behaviour to generate 2D/3D Delaunay and/or Voronoi tessellations is presented.

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