2011Journal of Xi'an Technological UniversityRequires access

Improved Delaunay Triangulation Algorithm

Gang Cheng

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Abstract

Traditional Delaunay triangulation algorithm is incapable in obtaining ideal partition results for non-convex data set.To solve this problem.An improved Delaunay triangulation algorithm based on convex partition is proposed.The theorem of convex partition for non-convex set is proposed,and convex partition of complex surface on the basis of projection plane is deduced.According to the theorems,the orthogonal plane based Delaunay triangulation can be performed on the complex surface.The experiments performed on head 3D data show that the improved Delaunay triangulation on projection plane is corrected and the robustness is enhanced,which conforms with the theoretical analysis,thus the correctness and effectiveness are testified.

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What this paper is about

Traditional Delaunay triangulation algorithm is incapable in obtaining ideal partition results for non-convex data set.To solve this problem.An improved Delaunay triangulation algorithm based on convex partition is proposed.The theorem of convex partition for non-convex set is proposed,and convex partition of complex surface on the basis of projection plane is deduced.According to the theorems,the orthogonal plane based Delaunay triangulation can be performed on the complex surface.The experiments performed on head 3D data show that the improved Delaunay triangulation on projection plane is corrected and the robustness is enhanced,which conforms with the theoretical analysis,thus the correctness and effectiveness are testified.

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Available abstract

Traditional Delaunay triangulation algorithm is incapable in obtaining ideal partition results for non-convex data set.To solve this problem.An improved Delaunay triangulation algorithm based on convex partition is proposed.The theorem of convex partition for non-convex set is proposed,and convex partition of complex surface on the basis of projection plane is deduced.According to the theorems,the orthogonal plane based Delaunay triangulation can be performed on the complex surface.The experiments performed on head 3D data show that the improved Delaunay triangulation on projection plane is corrected and the robustness is enhanced,which conforms with the theoretical analysis,thus the correctness and effectiveness are testified.

Key concepts: Delaunay triangulation, Pitteway triangulation, Bowyer–Watson algorithm, Surface triangulation, Constrained Delaunay triangulation, Minimum-weight triangulation, Mathematics, Point set triangulation

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