2010Gnss World of ChinaRequires access

Research and Realizing of Algorithm in Construction of Delaunay Triangulation with Boundary Conditions

Zhang Li

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Abstract

Delaunay triangulation is the main route of construct digital terrain model,convex hull is the basic of construct Delaunay triangulation,general search convex hull method only find the polygon with least points,but more points at one edge exist.The paper proposed a new way finding convex hull and deduses the algorithm of construct delaunay triangulation with boundary conditions on the basis of the algorithm of construct delaunay triangulation.Through the test with actual data,this algorithm is effective.

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What this paper is about

Delaunay triangulation is the main route of construct digital terrain model,convex hull is the basic of construct Delaunay triangulation,general search convex hull method only find the polygon with least points,but more points at one edge exist.The paper proposed a new way finding convex hull and deduses the algorithm of construct delaunay triangulation with boundary conditions on the basis of the algorithm of construct delaunay triangulation.Through the test with actual data,this algorithm is effective.

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Available abstract

Delaunay triangulation is the main route of construct digital terrain model,convex hull is the basic of construct Delaunay triangulation,general search convex hull method only find the polygon with least points,but more points at one edge exist.The paper proposed a new way finding convex hull and deduses the algorithm of construct delaunay triangulation with boundary conditions on the basis of the algorithm of construct delaunay triangulation.Through the test with actual data,this algorithm is effective.

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

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