{"title":"A generic Delaunay triangulation algorithm for finite element meshes","authors":"D.A. Field","doi":"10.1016/0961-3552(91)90031-X","DOIUrl":null,"url":null,"abstract":"<div><p>A mathematical framework for the construction of k dimensional meshes embedded in n dimensions is provided. By extending Delaunay triangulations a generic triangulation algorithm is stated along with methods for assessing the shapes of simplices. Planar, surface and solid meshes illustrate the algorithm.</p></div>","PeriodicalId":100044,"journal":{"name":"Advances in Engineering Software and Workstations","volume":"13 5","pages":"Pages 263-272"},"PeriodicalIF":0.0000,"publicationDate":"1991-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0961-3552(91)90031-X","citationCount":"21","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Engineering Software and Workstations","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/096135529190031X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 21
Abstract
A mathematical framework for the construction of k dimensional meshes embedded in n dimensions is provided. By extending Delaunay triangulations a generic triangulation algorithm is stated along with methods for assessing the shapes of simplices. Planar, surface and solid meshes illustrate the algorithm.