A survey of point insertion techniques in bidimensional Delaunay Triangulations

Triangulations are geometric discretizations essential in many scientific applications, such as engineering simulations, visualizations, and geographic information systems. The preferred shape of a triangle depends on the applications. Theoretical and experimental analysis of numerical methods that...

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Detalles Bibliográficos
Autor: de Oliveira, Sanderson L. G.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2011
País:Brasil
Institución:Universidade Federal de Lavras (UFLA)
Repositorio:INFOCOMP: Jornal de Ciência da Computação
Idioma:inglés
OAI Identifier:oai:infocomp.dcc.ufla.br:article/327
Acceso en línea:https://infocomp.dcc.ufla.br/index.php/infocomp/article/view/327
Access Level:acceso abierto
Palabra clave:Delaunay Triangulation
mesh generation
adaptive triangular mesh refinement
computational geometric modeling.
Descripción
Sumario:Triangulations are geometric discretizations essential in many scientific applications, such as engineering simulations, visualizations, and geographic information systems. The preferred shape of a triangle depends on the applications. Theoretical and experimental analysis of numerical methods that are used in conjunction with triangulations suggest that triangles with no large angles and/or small angles serve well in most applications. This paper is a brief review of a point insertion in 2D Delaunay Triangulations. Important works on the insertion of vertices in Delaunay Triangulations are described as a start point for one who needs to build a quality mesh using adaptive triangular-mesh refinement.