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Table 2 Correlation coefficient, r s , o , between the joint trajectories of the assessed dance Sequence, s, and the captured dance sequence, o, and mean variance, v ̄ s , among the metric cycles composing the assessed sequence in relation to the dimensionality, Dim, and level of reduction, Reduction, of its respective representation model

From: A parameterizable spatiotemporal representation of popular dance styles for humanoid dancing characters

Style

Sequence

rs,o

v ̄ s ( m m 2 )

Dim(J,S,W)

Reduction

ei(%)

Samba

      
 

Original

0.86

646.84 (846.86)

20 × 3 × N

0

NA

 

Fixed-1

0.46 (0.00)

133.12 (527.68)

20 × 3 × 2 = 120

0.50 × N

2.11

 

Fixed-2

0.81 (0.00)

60.45 (314.44)

20 × 3 × 4 = 240

0.25 × N

1.08

 

Fixed-4

0.89 (0.00)

24.56 (66.47)

20 × 3 × 8 = 480

0.13 × N

0.31

 

Fixed-8

0.88 (0.00)

13.73 (31.96)

20 × 3 × 16 = 960

0.06 × N

0.62

 

Variability-1

0.41 (0.01)

539.59 (683.64)

20 × (3 + 1) × 2 = 160

0.38 × N

1.61

 

Variability-2

0.77 (0.01)

258.50 (406.60)

20 × (3 + 1) × 4 = 320

0.19 × N

0.23

 

Variability-4

0.87 (0.00)

131.52 (166.68) 52

20 × (3 + 1) × 8 = 640

0.09 × N

0.09

 

Variability-8

0.87 (0.00)

64.94 (91.46)

20 × (3 + 1) × 16 = 1280

0.05 × N

0.10

Charleston

     
 

Original

0.87

3772.72 (5793.63)

20 × 3 × N

0

NA

 

Fixed-1

0.74 (0.00)

157.14 (540.80)

20 × 3 × 4 = 240

0.25 × N

5.82

 

Fixed-2

0.87 (0.00)

21.27 (77.07)

20 × 3 × 8 = 480

0.13 × N

2.31

 

Fixed-4

0.90 (0.00)

6.89 (16.33)

20 × 3 × 16 = 960

0.06 × N

1.93

 

Fixed-8

0.89 (0.00)

7.07 (18.18)

20 × 3 × 32 = 1920

0.03 × N

2.53

 

Variability-1

0.73 (0.01)

319.27 (336.48)

20 × (3 + 1) × 4 = 320

0.19 × N

4.60

 

Variability-2

0.86 (0.00)

241.19 (275.32)

20 × (3 + 1) × 8 = 640

0.09 × N

1.11

 

Variability-4

0.89 (0.00)

88.40 (156.87)

20 × (3 + 1) × 16 = 1280

0.05 × N

0.19

 

Variability-8

0.89 (0.00)

26.16 (65.19)

20 × (3 + 1) × 32 = 2560

0.03 × N

0.05

  1. The mean error caused by the used interpolation method in each synthesized dance sequence is given by e i . The numbers in parentheses refer to the standard deviation of, respectively, the mean r s , o and the mean v ̄ s across the ten synthesized dance sequences for each applied parameterization.