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2007 55 2 235 254 c 2007 1 2 3 3 2007 6 12 2007 11 1 20 8 2 1. 2004 Sakata et al. 2004 1 610 0394 1 3 2 176 8525 2 42 1 3 525 8577 1 1 1

236 55 2 2007 2003 2004 Camurri et al. 1999 2002 2005 CG 1987 1 2. 2 2.1 2 46 A 22 B A 36 51 4 14 16

237 B 60 10 14 2.2 7 1 2.3 Motion Analysis 32 1 12 TRC 8 1 3 48 8 3 2 2 35 9 5 6 3., 1968 3.1, 2000

238 55 2 2007 1.

239 1. 2.

240 55 2 2007 1 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.

241 3. v i [mm/sec] (3.2) v i = d i 60 2 2 3 4 A B mean

242 55 2 2007 4. 3.2 2001 3 3 θ knee 5 Rosenfeld and Johnston 1973 cos θ knee cosθ knee 3 6 7

243 5. 3. cos θ knee

244 55 2 2007 6. cosθ knee 1 y y 4 8 3.3 F = ma F m a 2000 1 v i+1 v i i a i a i[mm/sec 2 ] (3.3) a i = v i+1 v i 3.3 5 9 2 4 6 9

245 7. cosθ knee 2 9 2 4. 7 cos θ knee cosθ knee 14 6 1 3 1 0.436 2 0.276 3 0.080 3 0.792 6 1 2 3

246 55 2 2007 4. 1 2 x y 8 3 xy 10 11 1 2 10 8 5 3 5 1 2

247 8. 10 11 8

248 55 2 2007 5. 8 B A A B 1959 A B

249 9. 2001

250 55 2 2007 6. 10.

251 11. 5. 20 8 2

252 55 2 2007 21 COE 18 A 1 2 Camurri, A., Hashimoto, S., Suzuki, K. and Trocca, R. 1999 KANSEI analysis of dance performance, IEEE International Conference on System, Man and Cybernetics IV, 327 332. Camurri, A., Coletta, P., Mazzarino, B., Trocca, R. and Volpe, G. 2002 Improving the man-machine interface through the analysis of expressiveness in human movement, Proceedings of 2002 IEEE ROMAN Conference, 417 421. 1959. 1975. 1987. 2005 10 1 31 40. 2000

253 24 29 7 12. 2003 102 735 55 60. 2004 4, 71 80. 2001 123 124. 1968. 276 283, Rosenfeld, A. and Johnston, E. 1973. Angle detection on digital curves, IEEE Transactions on Computers, 22, 875 878. Sakata, M., Shiba, M., Maiya, K. and Tadenuma, M. 2004 Human body as the medium in dance movement, International Journal of Human-Computer Interaction, 17 3 427 444. 2001 J84-D, 2644 2653. 2004.

254 Proceedings of the Institute of Statistical Mathematics Vol. 55, No. 2, 235 254 (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.