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Massive Data Delaunay Triangulation Based on Grid Partition Method

Jinxing Hu, Zhaoting Ma

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Abstract

A Delaunay triangulation method is brought forward oriented massive data, which based on the grid partition method. It divides the data set into some grid tiles, constructs Delaunay triangulation for each grid tile by divide-and-conquer algorithm based on self-adapt gird partition, and store some unaffected triangles, then merges adjacent Delaunay triangulations to whole or whole-like Delaunay triangulation. This method requires low computer hardware, fits for parallel processing, can process Delaunay triangulation of massive data.

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What this paper is about

A Delaunay triangulation method is brought forward oriented massive data, which based on the grid partition method. It divides the data set into some grid tiles, constructs Delaunay triangulation for each grid tile by divide-and-conquer algorithm based on self-adapt gird partition, and store some unaffected triangles, then merges adjacent Delaunay triangulations to whole or whole-like Delaunay triangulation. This method requires low computer hardware, fits for parallel processing, can process Delaunay triangulation of massive data.

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Available abstract

A Delaunay triangulation method is brought forward oriented massive data, which based on the grid partition method. It divides the data set into some grid tiles, constructs Delaunay triangulation for each grid tile by divide-and-conquer algorithm based on self-adapt gird partition, and store some unaffected triangles, then merges adjacent Delaunay triangulations to whole or whole-like Delaunay triangulation. This method requires low computer hardware, fits for parallel processing, can process Delaunay triangulation of massive data.

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

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