Delaunay criteria for triangulating surfaces

David A. Field

doi:10.1117/12.131750

1 November 1992 Delaunay criteria for triangulating surfaces

David A. Field

Proceedings Volume 1830, Curves and Surfaces in Computer Vision and Graphics III; (1992) https://doi.org/10.1117/12.131750
Event: Applications in Optical Science and Engineering, 1992, Boston, MA, United States

Abstract

Computer aided design and manufacturing processes frequently map planar triangulations onto surfaces. Due to their properties relevant to finite element analysis, Delaunay triangulations have become popular for triangulating arbitrary planar domains that are subsequently mapped onto surfaces. Although surface triangulations cannot enjoy all the properties of planar triangulations, utilization of as many of the properties of Delaunay triangulations as possible in algorithms for triangulating surfaces can have advantages as well as disadvantages. This paper focuses on the advantages and disadvantages of using Delaunay criteria in triangulating surfaces.

Citation Download Citation

David A. Field "Delaunay criteria for triangulating surfaces", Proc. SPIE 1830, Curves and Surfaces in Computer Vision and Graphics III, (1 November 1992); https://doi.org/10.1117/12.131750

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