IPSJ SIG Technical Report An Evaluation Method for the Degree of Strain of an Action Scene Mao Kuroda, 1 Takeshi Takai 1 and Takashi Matsuyama 1

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1 1 1 An Evaluation Method for the Degree of of an Action Scene Mao Kuroda, 1 Takeshi Takai 1 and Takashi Matsuyama 1 The purpose of our research is to investigate structure of an action scene scientifically. We focus on the accumulation and the release in the action scene, and we assume that the degree of strain which is represented by them characterizes the action scene. In this paper, we have evaluated the validity of the models of the degree of strain, and found that there is a specific pattern of the degree of strain for each work. Moreover, we have measured amounts of perspiration with a bioinstrumentation while watching an action movie and confirmed that there is correlation between the degree function of strain and perspiration. 1. 1.1 1 Graduate School of Informatics, Kyoto University 1). 1.2 2) 3) 1 c 29 Information Processing Society of Japan

1.3. 4) 5) 6), 5),6) 7). 1 7). 2. 2 2.1 2.1 8) 2.2 3. 3.1 1.2 9) S f 2 c 29 Information Processing Society of Japan

S f = { f i f f i f } g( f i )s( f i ) (1) g( f i ) 3.2 s( f i ) 3.3 g( f i ) s( f i ) (1) g( f i )s( f i ) 3.1.1 I 1 1 1 (1) f f = f S f = g( f i )s( f i ) (2) { f i f f i f } 3.1.2 II 1) 1 1 2 (1) f f = f i 6 S f = g( f i )s( f i ) (3) { f i f i 6 f i f } g(tc) 2 1.5 1.5 5 1 15 2 1 g(t c ) : i (α = 1) Fig. 1 g(t c ) : Assumption i (α = 1). 3.2 3.2.1 i g(tc) 1.5 -.5 LS,FS MS CS,CU -1 5 1 15 2 2 g(t c ) : ii (α = 1) Fig. 2 g(t c ) : Assumption ii (α = 1). 2.2. 15 11) 1 g(t c ) g(t c ) = 1/{1 + exp[α(t c τ)]} + 1 (4) τ = 1 g( f i ) g( f i ) = g(t c ) (5) 3.2.2 ii 11) g(t c ) 8 1 5 7 3 4 2 g(t c ) LS, FS 2/{1 + exp[ α(t c T a )]} 1 ( T c < T d ) g(t c ) = 1 (T d T c T e ) 2/{1 + exp[α(t c T b )]} 1 (T e < T c ) (6) 3 c 29 Information Processing Society of Japan

MS 2/[1 + exp( αt c )] 1 ( T c < T g ) g(t c ) = 1 (T g T c T h ) 2/{1 + exp[α(t c T f )]} 1 (T h < T c ) (7) Table 1 1 Designing of the degree function of strain based on assumptions. g( f i ) i ii 1 I A B C II D E F CS, CU 2/{1 + exp[ α(t c T i )]} 1 ( T c < T k ) g(t c ) = 1 (T k T c T l ) (8) 2/{1 + exp[α(t c T j )]} 1 (T l < T c ) T a, T b, T d, T e, T f, T g, T h, T i, T j, T k, T l 11) 3, 15, 8, 1, 12, 5, 7, -2, 9, 3, 4 g( f i ) g( f i ) = g(t c ) (9) 3.3 1.2 3.3.1 ( 11 ) avelength ( f i ) 3.3.2 s( f i ) s( f i ) f i s( f i ) f i s( f i ) s( f i ) s( f i ) = exp[ β( f i l)] 1 (1) l 3.4 4. 4.1 3.1 3.2 1 6 g( f i ) 1 6 α = 1 β = 1 2 1 1 3 4 c 29 Information Processing Society of Japan

6 A B 4 C D 2 E F -2-4 -6 6 7 8 9 (a) scene 1 35 3 25 2 15 1 5-5 -1 5 1 15 2 25 (b) scene 2 A B C D E F 8 6 4 2-2 -4-6 -8-1 2 4 6 8 1121416 (a) scene 1 A B C D E F 15 1 5-5 -1-15 (b) scene 2 A B C D E F Fig. 3 3 Comparing the degree functions of strain in Youjinbou. Fig. 4 4 Comparing the degree functions of strain in a Fistful of Dollars. 72 48 1 3 72 48 72 48 2 a Fistful of Dollars 4.2 4.1 6 3 4 4.2.1 6 4.1 6 (a). 1 3(a) 3(a) 1 1 1 3(a) 65 75 (b). 2 17 3(b) s( f i ) g( f i ) (c). 1 5 c 29 Information Processing Society of Japan

87 4(a) 78 87 (b) 4(a) 114 136 114 (d). 2 39 4(b) 1 (a) (d) D F D F (c) 1 114 136 (c) 127 114 1 3 114 4(a) F 114 127 D 114 D D 4.2.2 (a) 5(a) 1 2 (b) 5(b) 2 15 1 5-5 -1 5 1 15 2 25 scene1 snene2 (a) Youjinbou. Fig. 5 15 1 5-5 -1-15 scene1 snene2 (b) a Firstful of Dollars. 12 1 8 6 4 2-2 5 Comparing the degree functions of strain in each work. 5 1 15 2 25 3 35 story1 story2 story3 (c) Mitokoumon. 1 (c) 5(c) 3 2 5 4.2.3 4.1 2 5 (GSR,Galvanic Skin Reflex) GSR GSR 1 12) GSR 6 7 8 GSR GSR 3 2 2 2 7 5 3 6 c 29 Information Processing Society of Japan

2 2 (i) 5 1 (i) Table 2 Correlation witbetween the degree function of strain and bioinstrumentation in the second scene of Youjinbou. Table 5 Correlation between sound intensity and bioinstrumentation in the first scene of a Firstful of Dollars. [ ] +2. +3.3 +2. +2. +2. [ ] +5.77 +.76 +1.4 +. +9.21.2.84 -.58 -.15.84.51.16.45.17.23 3 2 (i) 6 2 Table 3 Correlation between sound intensity and bioinstrumentation in the second scene of Youjinbou. Table 6 Correlation between the degree function of strain and bioinstrumentation in the second work of Mitokoumon. [ ] +.352 +18.4 +18.4 +16.1 +.81 [ ] +. +5.8 +11. +17. +9..38 -.35.3.44 -.66 -.23.47.4.29.7 4 1 (i) 7 2 Table 4 Correlation between the degree function of strain and bioinstrumentation in the first scene of a Firstful of Dollars. Table 7 Correlation between sound intensity and bioinstrumentation in the second work of Mitokoumon. [ ] +2. +16.4 +13.9 +5.4 +2. [ ] +15. +2. +2. +2. +4.43.27.31 -.3.23.39 +.15 -.91 -.42.96 -.9 (a) 2 6 111.8 194.6 (i) 2 (i) 3 (i) 3.3.63 (b) 1 7 65. 114.1 (i) 4 (i) 5 (i) 6..45 (c) 2 3 8 22 55. 173. (i) 6 (i) 7 (i) 13.93 (a) (c) 5. 7 c 29 Information Processing Society of Japan

6 15 1 5-5 -1 5 1 15 2 25 (a) Degree function of strain. GSR[S] Intensity[dB] 8 6 4 2-2 p1 p2 p3 p4 p5-4 5 1 15 2 25 (b) Bioinstrumentation. 8 75 7 65 6 55 5 5 1 15 2 25 (c) Sound intensity. 2 7 Fig. 6 Degree function of strain, bioinstrumentation and sound intensity in the second scene of Youjinbou. GSR[S] Intensity[dB] 8 6 4 2-2 -4-6 -8-2 2 4 6 8 1 12 14 16 5 1 15 2 25 (a) Degree function of strain. 18 16 14 12 1 8 6 4 2-2 p1 p2 p3 p4 p5 2 4 6 8 1 12 14 16 (b) Bioinstrumentation. 7 65 6 55 5 45 4 35 3 2 4 6 8 1 12 14 16 (c) Sound intensity. 1 8 Fig. 7 Degree function of strain, bioinstrumentation and sound intensity in the first scene of a Fistful of Dollars. 12 1 GSR[S] Intensity[dB] 8 6 4 2 (a) Degree function of strain. 1 8 6 4 2-2 p1 p2 p3 p4 p5-4 5 1 15 2 25 (b) Bioinstrumentation. 8 75 7 65 6 55 5 5 1 15 2 25 (c) Sound intensity. 2 Fig. 8 Degree function of strain, bioinstrumentation and sound intensity in the second work of Mitokoumon. JST CREST 1) pp.26 28, 86 87, (23). 2) p.17, (26). 3) pp.25 27, 35 36, 597 599, (198). 4) : (3) Vol.46, No.6, pp.57 66 (2331). 5) (,, ) Vol.47, No.6, pp. 1696 177 (26615). 6) CVIM, pp.49 54 (28/11). 7). Vol.24, No.3, pp.33 4 (24115). 8) pp.234 241, (22). 9) I pp.133 142, (23). 1) (9) No.16 (27/5). 11) TKdesign: http://tkdesign.jp/oyabakavideoclub/video kouza 1.html. 12) J ( )pp.44 61, (1996). 8 c 29 Information Processing Society of Japan