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Table 1 Numerical results on the conversion of the V-representation into the H-representation : computation time [ sec] (upper) and the number of generated half-spaces (lower)

From: Boundary modeling in model-based calibration for automotive engines via the vertex representation of the convex hulls

n

m

5

7

9

11

13

15

50

0.34

0.15

1.23

11.25

72.05

391.27

 

566

5084

42,430

279,804

1,517,292

6,898,066

100

0.04

0.42

8.41

107.85

1506.60

 

1326

16,382

229,218

2,399,099

25,526,149

200

0.06

1.20

32.88

699.06

 

1970

42,918

851,321

13,002,403

1000

0.15

7.44

394.21

 

6724

238,486

8,053,847

2000

0.24

13.87

980.61

 

9262

427,048

17,550,631