Original article: A local refinement algorithm for the longest-edge trisection of triangle meshes

Authors:
ÁNgel Plaza;Sergio FalcóN;José P. SuáRez;Pilar Abad
Affiliations:
Department of Mathematics, University of Las Palmas de Gran Canaria, Spain;Department of Mathematics, University of Las Palmas de Gran Canaria, Spain;Department of Cartography and Graphic Engineering, University of Las Palmas de Gran Canaria, Spain;Department of Cartography and Graphic Engineering, University of Las Palmas de Gran Canaria, Spain
Venue:
Mathematics and Computers in Simulation
Year:
2012

Citing 8
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Abstract

Abstract: In this paper we present a local refinement algorithm based on the longest-edge trisection of triangles. Local trisection patterns are used to generate a conforming triangulation, depending on the number of non-conforming nodes per edge presented. We describe the algorithm and provide a study of the efficiency (cost analysis) of the triangulation refinement problem. The algorithm presented, and its associated triangle partition, afford a valid strategy to refine triangular meshes. Some numerical studies are analysed together with examples of applications in the field of mesh refinement.