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Fig 1.

The algorithm to find the LIC based on Voronoi and medial axis.

(a) Voronoi diagram of a simple polygon. (b) Medial axis diagram of a simple polygon. (c) Voronoi diagram of a complex polygon. (d) Medial axis diagram of a complex polygon.

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Fig 1 Expand

Fig 2.

Voronoi generation tree based on “divide-and-conquer” method.

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Fig 3.

Voronoi diagram generation algorithm based on the binary tree principle for a simple polygon.

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Fig 4.

Several basic Voronoi diagram generation results.

(a) Voronoi calculation method for a line segment. (b) Voronoi calculation method for a point and a line segment. (c) Voronoi calculation method for two segments. (d) Voronoi calculation method (∠ABC is an acute angle). (e) Voronoi calculation method (∠ABC is an obtuse angle).

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Table 1.

Algorithm to seek the LIC.

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Fig 5.

Comparison charts of medial axis simplification and LIC seeking.

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Table 2.

Intersection number comparison for MAS.

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Table 3.

Pseudo code of ACEP in C++.

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Table 4.

Efficiency comparison of different data partition policies.

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Fig 6.

Time comparison of different data partition policy in Tab.4.

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