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1 c Sakata et al

2 Camurri et al CG A 22 B A

3 237 B Motion Analysis TRC , , 2000

4

5

6 xyz i x y z x i y i z i d i (3.1) d i = (x i x i+1) 2 +(y i y i+1) 2 +(z i z i+1) 2 60[Frame/sec] i 2.

7 v i [mm/sec] (3.2) v i = d i A B mean

8 θ knee 5 Rosenfeld and Johnston 1973 cos θ knee cosθ knee 3 6 7

9 cos θ knee

10 cosθ knee 1 y y F = ma F m a v i+1 v i i a i a i[mm/sec 2 ] (3.3) a i = v i+1 v i

11 cosθ knee cos θ knee cosθ knee

12 x y 8 3 xy

13

14 B A A B 1959 A B

15

16

17

18 COE 18 A 1 2 Camurri, A., Hashimoto, S., Suzuki, K. and Trocca, R KANSEI analysis of dance performance, IEEE International Conference on System, Man and Cybernetics IV, Camurri, A., Coletta, P., Mazzarino, B., Trocca, R. and Volpe, G Improving the man-machine interface through the analysis of expressiveness in human movement, Proceedings of 2002 IEEE ROMAN Conference,

19 , , Rosenfeld, A. and Johnston, E Angle detection on digital curves, IEEE Transactions on Computers, 22, Sakata, M., Shiba, M., Maiya, K. and Tadenuma, M Human body as the medium in dance movement, International Journal of Human-Computer Interaction, J84-D,

20 254 Proceedings of the Institute of Statistical Mathematics Vol. 55, No. 2, (2007) Analysis of Motions for Multiple Roles in Nihon Buyo Quantitative Analysis of Leg Movement in Hokushu Mamiko Sakata 1, Mieko Marumo 2,WoongChoi 3 and Kozaburo Hachimura 3 1 Faculty of Culture and Information Science, Doshisha University 2 College of Art, Nihon University 3 College of Information Science and Engineering, Ritsumeikan University This study is designed to clarify, quantitatively how the eight character roles (Yukyaku, Tayu, Houkan, Bushi, Mago, Shonin, Yujo, Enja) are differentiated in terms of dancing techniques in the nihon buyo entitled Hokushu. The movements of two dancers trained in nihon buyo were measured by means of motion capture to compare and analyze the basic movement common to the eight character roles, i. e., walking (movements of the lower half of the body). In order to analyze the physical movements, we calculated the speed of the hips and the tips of the right and left feet (time quality), the angle of the knees and the height of the hips (spatial quality), and the acceleration of the hips (dynamic quality). The principal component analysis of the feature quantities of the movements revealed that the dancers were clearly differentiating gender, social class and scene in their depiction of the character roles. It was also revealed that the dancers were loyally observing the traditionally preserved basic technical patterns, but at the same time expressing their individual interpretations, expressivities and proficiency within the allowable limits. Key words: Nihon Buyo, leg movement, motion capture, motion analysis.

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