THE INSTITUTE OF ELECTRONICS, INFORMATION AND COMMUNICATION ENGINEERS TECHNICAL REPORT OF IEICE k

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1 THE INSTITUTE OF ELECTRONICS, INFORMATION AND COMMUNICATION ENGINEERS TECHNICAL REPORT OF IEICE k-nakamura@comm.eng.osaka-u.ac.jp ARToolKit s 1, s 2,, s n n S = {s i i = 1, 2,, n} 1 S t t W (t) t S(t) ( S) t s S(t) w(s; t) t > = 0 W (t) = w(s; t) (1) s S(t) u u+1 s i S(u) = S(u+1) {s i } s S(u+1) s [u, u+1] s S(u+1) w(s; u+1) = w(s; u) (2) (1)(2) u u+1 W (u) W (u+1) = w(s; u) w(s; u+1) s S(u) s S(u+1) 1

2 = w(s i ; u) + {w(s; u) w(s; u+1)} s S(u+1) = w(s i ; u) (3) w(s i; u) s i u w(s i; u) = W (u) W (u+1) (4) v v+1 s i S(v+1) = S(v) {s i } s S(v) s [v, v+1] 1 s S(v) w(s; v+1) = w(s; v) (5) (1)(5) s i v+1 (4) w(s i; v+1) = W (v+1) W (v) (6) (4)(6) [u, u+1] [v, v+1] s i u v+1 w(s i; u) w(s i; v+1) = (W (u) W (u+1)) (W (v+1) W (v)) (7) 1 s i (7) Ŵ (t) W (t) t t k τ k τ k Ŵ (τ k) W (τ k ) [τ k 1, τ k ) Ŵ (t) δ t stable if Ŵ Ŵ (t) is (x) Ŵ (x 1) < = d x=t δ unstable otherwise d t δ t d Ŵ (t) τ k (8) (Ŵ (t) is stable) (Ŵ (t 1) is unstable) (9)

otherwise detected(s; t) t m(s) 1 0 detected(s; t) onscale(s; t) (11) (12) onscale(s; t) = detected(s; t) onscale(s; t) θ onscale(s; t) 1 if onscale(s; t) = 0 if onscale(s; t 1) t detected(s; x) =

3 2 t s onscale(s; t) 1 { 1 if s is on the scale at time t onscale(s; t) = (10) 0 otherwise onscale(s; t) t s 1 0 onscale(s; t) [τ k 1, τ k ) S u (k) S b (k) S u (k) = {s onscale(s; t) = 0, onscale(s; t 1) = 1, τ k 1 < = t < τ k } (11) S b (k) = {s onscale(s; t) = 1, onscale(s; t 1) = 0, τ k 1 < = t < τ k } (12) t s m(s) detected(s; t) { 1 if m(s) is detected at time t detected(s; t) = (13) 0 otherwise detected(s; t) t m(s) 1 0 detected(s; t) onscale(s; t) (11) (12) onscale(s; t) = detected(s; t) onscale(s; t) θ onscale(s; t) 1 if onscale(s; t) = 0 if onscale(s; t 1) t detected(s; x) = θ+1 x=t θ t detected(s; x) = 0 x=t θ otherwise (14) t 3. 2 t 2 t < θ onscale(s; t) = onscale(s; 0) onscale(s; 0) onscale(s; t) onscale(s; 0) ARToolKit [1] detected(s; t) ARToolKit τ k (1) k > = 1 Ŵ (τ k ) = s S(τ k ) w(s; τ k ) (15) S(τ k ) τ k 1 S(τ k 1 ) (11)(12) S u (k), S b (k) τ 0 = 0 2 S(τ k ) = { } S(τ k 1 ) S u (k) S b (k) (16) S u (k) S(τ k 1 ) S b (k) S(τ k 1 ) = ϕ S u (k) = S(τ k ) S(τ k 1 ) (17) S b (k) = S(τ k ) S(τ k 1 ) (18) [τ k 1, τ k ) k > = 1, s S(τ k 1 ) S u (k) w(s; τ k ) = w(s; τ k 1 ) (19) (15)(17)(18)(19) (4) (6) 2 Q ( S) Q Q S \ Q 3

4 Ŵ (τ k ) Ŵ (τ k 1) = w(s; τ k ) w(s; τ k 1 ) s S(τ k ) s S(τ k 1 ) = w(s; τ k ) w(s; τ k 1 ) (20) s S b (k) s S u (k) (19) (20) w(s; τ k ) w(s; τ k ) Step 1: τ 0 (= 0) Ŵ (τ0) onscale(s; 0) S(τ 0) = {s onscale(s; 0) = 1} S(τ 0) E E = ϕ k k = 1 Step 2: (9) k τ k Ŵ (τ k ) (11)(12)(16) S u (k), S b (k), S(τ k ) (19)(20) E Step 3: E w(s; τ k ) s, k w(s; τ k ) E Step 4: k k+1 Step 2 τ k w(s; τ k ) s τ u τ v w(s, τ u ) w(s, τ v ) (21) 3. 4 τ k s S(τ k ) w(s; τ k ) τ k+1 w(s; τ k ) τ k+1 w(s; τ k ) [τ k 1, τ k ) s i, s j [τ k, τ k+1 ) w(s i ; τ k ) w(s j ; τ k ) 2 w(s i ; τ k ) + w(s j ; τ k ) = Ŵ (τ k) Ŵ (τ k 1) (22) w(s i ; τ k ) w(s j ; τ k ) = Ŵ (τ k+1) Ŵ (τ k) (23) 3 2 w(s i; τ k ) w(s j; τ k ) [τ k, τ k+1 ) s i, s j τ k+1 w(s i; τ k ) w(s j ; τ k ) w(s i ; τ k ) w(s j ; τ k ) unsolvable weight unsolvable weight unsolvable weight unsolvable weight Amidia TX4202N [2] 4200g 0.01g RS232C 9 Ŵ (t) (8) Ŵ (t) 3 Logicool HD Webcam C pixels 15 fps (14) θ = δ = 13, d = 0.06g (8) 4

5 1 g k unknown (w d ) unknown (w t ) - - w d + w t = unknown (w d ) unknown (w t) unknown (w c) unknown (w o) w c + w o = w t = unknown (w c ) unknown (w o ) w d = unknown (w c) unknown (w o) 3.13g unknown (w c ) unknown (w o ) unknown (w c ) unknown (w o ) 3.28g w c = w o = g g g g θ θ [τ k 1, τ k ) τ k 2 ± 2.72 ± ± θ θ unsolvable weight 4. 3 θ θ 3. 1 [τ k 1, τ k ) τ k θ fps θ < = =

6 N u +N b > = N u N b N b N u % 1.5% 0% 0% 0% % 10.6% 1.5% 3.0% 2 4.5% 0% 0% 0% 0% θ 4 θ > = θ θ = unsolvable weight unsolvable weight w(s; τ k ) s w(s; τ k ) τ k s unsolvable weight unsolvable weight 3 N u N b N u, N b N u > = 3 N b > = (= )% 21.2% % 2 unsolvable weight unsolvable weight 4. 1 [3], [4] Chen [5] 6. unsolvable weight JSPS [1] ARToolKit. [2] Amidia TX-N shimadzu.co.jp/balance/products/p01/tx.htm [3] Y. Saeki and F. Takeda. Proposal of Food Intake Measuring System in Medical Use and Its Discussion of Practical Capability, Proc. of 9th Int l Conf. on KES, [4] 4, pp.43-48, [5] Jen-Hao Chen, Peggy Pei-Yu Chi, Hao-Hua Chu, Cheryl Chia-Hui Chen, and Polly Huang. A Smart Kitchen for Nutrition-Aware Cooking, Pervasive Computing, October- December 2010, Vol.9, No.4, pp.58-65,

THE INSTITUTE OF ELECTRONICS, INFORMATION AND COMMUNICATION ENGINEERS TECHNICAL REPORT OF IEICE.

THE INSTITUTE OF ELECTRONICS, INFORMATION AND COMMUNICATION ENGINEERS TECHNICAL REPORT OF IEICE. E-mail: {ytamura,takai,tkato,tm}@vision.kuee.kyoto-u.ac.jp Abstract Current Wave Pattern Analysis for Anomaly