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Table 1 Experimental validation of the theorems

From: Initial condition for efficient mapping of level set algorithms on many-core architectures

 

Values

 

Number of circles (n)

1

22

42

82

162

242

322

642

Bound according to Theorem 1

642

322

256

64

16

9

4

1

Bound according to Theorem 2

127

63

31

15

7

5

3

1

Circle Nit

26

16

9

6

4

3

3

1

Degenerate Nit

145

68

18

7

6

3

3

1

  1. The image was 1282 pixels. Configuration C was set as squares arranged into n rows and n columns in a chessboard-like pattern (see Figure 1A,B). Two different objects were tested: a circle in the center with radius 11 pixels and a snake-like degenerate object. Configuration and objects are presented in Figure 1.