2013Cehui kexueRequires access

Algorithm of inserting any constrained line into Delaunay triangulation

YU Ya-lei

Open publisher page 0 citations

Abstract

Constrained Delaunay Triangulation is widely used in Geographic Information System,geo-science,surface object reconstruction,digital city,virtual reality and other fields.It is an effective method of changing Delaunay Triangulation into Constrained Delaunay Triangulation that constrained line is inserted into Delaunay Triangulation.This paper focused on the problem of inserting constrained line into Delaunay Triangulation,and by analyzing the relationship between the constrained line and the original triangulation,gave the pretreatment method of various kinds of constrained lines,and described the process of inserting any constrained line into Delaunay Triangulation based on the iterative algorithm.

About this research paper

What this paper is about

Constrained Delaunay Triangulation is widely used in Geographic Information System,geo-science,surface object reconstruction,digital city,virtual reality and other fields.It is an effective method of changing Delaunay Triangulation into Constrained Delaunay Triangulation that constrained line is inserted into Delaunay Triangulation.This paper focused on the problem of inserting constrained line into Delaunay Triangulation,and by analyzing the relationship between the constrained line and the original triangulation,gave the pretreatment method of various kinds of constrained lines,and described the process of inserting any constrained line into Delaunay Triangulation based on the iterative algorithm.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Constrained Delaunay Triangulation is widely used in Geographic Information System,geo-science,surface object reconstruction,digital city,virtual reality and other fields.It is an effective method of changing Delaunay Triangulation into Constrained Delaunay Triangulation that constrained line is inserted into Delaunay Triangulation.This paper focused on the problem of inserting constrained line into Delaunay Triangulation,and by analyzing the relationship between the constrained line and the original triangulation,gave the pretreatment method of various kinds of constrained lines,and described the process of inserting any constrained line into Delaunay Triangulation based on the iterative algorithm.

Key concepts: Delaunay triangulation, Bowyer–Watson algorithm, Constrained Delaunay triangulation, Pitteway triangulation, Surface triangulation, Minimum-weight triangulation, Point set triangulation, Chew's second algorithm

Related papers

Back to paper searchBrowse research topicsOriginal source
Algorithm of inserting any constrained line into Delaunay triangulation — Research Paper | ScholarLens