Size: px
Start display at page:

Download ""

Transcription

1 2004 TV Indexing Index Auto-Making Soccer Video Digests : U043-0 Katsunori Kawaguchi

2 RGB CMY HSV YCC

3 Index

4

5 RGB CYM RGB

6

7 3.1 Index

8 1 1.1 CS BS TV 1.2 Indexing [1] [4] [5] [6] [7] [8] TV 2 TV TV 7

9 1 Indexing Index

10 x,y 2 (brightness) (gray level value) f(x, y) = g x,y g x,y T x,y

11 2 2.1: (raster) (raster scan image) 2.2: 10

12 2 2.2 (color model,color base) RGB RGB (Red) (Green) (Blue) (additive mixing) 3 R G B (8 ) CMY CYM RGB (cyan) (magenta) (yellow) (subtractive mixing) 3 (black) CMYK 2.4 RGB CMY C = 255 R, M = 255 G, Y = 255 B 2.3: RGB 2.4: CYM 11

13 HSV HSV (Hue angle) (Saturation) (Value) HSV H 0 2π 0 π/3 2π/3 π 4π/3 5π/3 2π 2.5 S V (Value) (Lightness) HSL HLS RGB HSV V = max(r, G, B) { 0 (max(r, G, B) = 0 ) S = 1 min(r, G, B)/ max(r, G, B) ( ) H = 0 (S = 0 ) (G B)/(max(R, G, B) min(r, G, B)) (max(r, G, B) = R ) (B R)/(max(R, G, B) min(r, G, B)) (max(r, G, B) = G ) (R G)/(max(R, G, B) min(r, G, B)) (max(r, G, B) = B ) 2.5: 12

14 YCC YCC NTSC(National Television System Committee) (Y,CIE Y ) (Cb) (Cr) YCbCr YUV YIQ RGB YCC Y = r g b Cb = r g b Cr = r g b M N (density histgram) 2.6,

15 2 2.6: 2.7: RGB (binary image) 2 2 CPU (Affine transformation) 14

16 (x,y) (X,Y) [ ] [ ] X Y W = x y 1 a d 0 b e 0 c f 0 X = ax + by + c, Y = dx + ey + f (x,y,z) (X,Y,Z) 3 [ ] [ ] X Y Z W = x y z 1 a e i 0 b f j 0 c g k 0 d h l (x,y,(0)) (X,Y,Z) 3 Z (X,Y ) 4 15

17 2 [ ] [ ] X Y Z W = x y 0 1 a d p 0 b e q 0 z 1 z 2 z 3 0 c f r 0 X = ax + by + c px + qy + r, Y = dx + ey + f px + qy + r 2.8:

18 2! "$# % 2.9: (pattern matching) (template matching) 17

19 2 P i = (P i,1, P i,2,..., P i,n ) P T = (P T,1, P T,2,..., P T,n ) D u = n (P i,k P T,k ) 2 k=0!#"$!&%')( * 2.10: ( 2.10 ) 18

20 Index Index

21 3 Indexing Index 3. indexing!) * "$#&%('! ;< 8 "$#&%(':8 354 '7698 +,.-0/ : 3.2: 20

22 3 3.2 # #,+ %$&'( -/ "! 67 8:9<;= )%*% 3.3: Indexing 3. Index 4. 1,2 3,4 Index M 1. M S 1, S 2,..., S n T T 1, T 2,..., T n M = {S 1, S 2,..., S n } T = {T 1, T 2,..., T n } 21

23 3 2. Indexing S i Index I Si 1, I Si 2,..., I Si h S i = {I Si 1, I Si 2,..., I Si h} Index O 1, O 2,..., O l 3. P (S i ) P (S i ) = P ({I Si 1, I Si 2,..., I Si h}) = {I Si 1, I Si 2,..., I Si g,..., I Si h} {O 1, O 2,..., O k,..., O l } IndexI Si g Index O k m t 4. t P (S i ) S 1, S 2,..., S m m X P (S i ) m = {S r1, S r2,..., S ri,..., S rj } { X (k {r1, r 2,..., r j }) P (S k ) < X ( ) r i < r i+1 t j T rk k=1 3.3 Index Indexing Index

24 : Index 3.4: 23

25 4 TV Index TV [1][3] TV 4.1: 24

26 TV TV 4.2 Indexing Indexing Indexing 10% 50% TV 4.2: 25

27 4 4.2 TV 4.3 Indexing Indexing Index 4.3: 26

28 5 Indexing TV Microsoft VisualC (width) 320,360,640,720 dot (height) 240,480 dot 29.97fps 24bit Color VfW(Video for Windows) Avi M F 1, F 2,..., F framemax F i 27

29 F t F t+1 RGB S(t) k 5.1 M S 1, S 2,..., S n S i F j, F j+1,..., F k j = S i ST, k = S i ED S i ED + 1 = S i+1 ST 255 R(t) = r t+1 (i) r t (i) i=0 S(t) = R(t) + G(t) + B(t) r t (i) : F t r i S(t) k k = M = {S 1, S 2,..., S n } 28

30 S i = {F j, F j+1,..., F k } 5 = {F Si ST,..., F Si ED} 5.1: Y Y < Y cut Y > 255 Y cut Y cut = 40 F t h t h h 20 % H cut i 5.2 h t (i) : F t i Y cut Y 255 Y cut h(i) = framemax t=1 h t (i) 29

31 /. YX -W 0Z^ H cut = MAX(h(i)) 0.2(0 i 359) 5 h(i) H cut i H feild H feild A B CDEF 6b 798 c9d : e ; f < g = h > i 254 \5] `5a 0Z^ 132 [3\ _3` 0Z^ G HG IG JG KLG KMG KNG LKG LOG L PG HGG HHG!" H!I"G # #$&%('*)+,?#@#Q&R(S*TUV 5.2:

32 5 4.3 H feild H feild F Av F CH 6 60 (i 1) H 60 i(1 i 6) 6 8 H(f) f H Av S ted F Av = h i (j H feild ) /(S t ED S t ST + 1) i=s t ST S t ED 1 F CH = h i (j H feild ) h i+1 (j) /(S t ED S t ST ) i=s t ST S t ED H Av = i=s tst H(i) /(S t ED S t ST + 1) H feild F Av F CH H Av F Av,F CH,H Av k 1,k 2,k : F Av k 1 2 : F Av k 2, F CH < k 3, H Av k 4 2 k 1 = 20000, k 2 = 50000, k 3 = 500, k 4 = pass 1 2-pass

33 5 5.3: 5.1: F Av F CH H Av H feild 2 (r, g, b) = (255, 255, 255)

34 5 5.4: (h, w) (H, W ) 3 Ah + Bw + 1 Dh + Ew + 1 H = C, W = F P h + Qw + 1 P h + Qw Hough 2 Affine?? Y 2 S l e 5.3 e = 4πS l 2 33

35 5 5.5: 5.6: s

36 % $ # "! & ' 5 5.2: H(m) W (m) :

37 5 5.7: 5.8: Indexing Indexing 36

38 5 5.9: VTR VTR [d 1, d 2, d 3, d 4, d 5 ] (d 1, d 2 ) : (H, W ) (d 3, d 4 ) : (h, w) d 5 : 37

39 5 5.10: 5.11: 38

40 5 5.3 Index 1. (a) 3m (b) (c) 2. (a) (b) (c) 3. (a) 4. (a) (b) (c)

41 5 V s s A s(n) s 1 0 n W (n) W (n) W V s (s = 0, 1,..., scene MAX ) A s(n) = 1 ( n V s ) = 0 ( V t s W (n) = A s(n) W = Av(W (n) ) n Indexing m Indexing 40

42 5 5.4: 1 int[2] time[2] int int double double double double int double double double double int double double double double CK(IN) CK(OUT) FK(IN) FK(OUT) GK(IN) GK(OUT) SI(IN) SI(OUT) bool bool bool bool bool bool bool bool double GK int double 41

43 : % %

44 : % 52.2% 80.0% 6.3: % 92.0% % 88.6% % 87.5% % 88.2% %

45 6 6.4: % 67.5% % 53.5% % 84.0% % 68.0% % 68.3% % 62.5% %

46 6 6.5: % 87.5% % 89.1% % 88.3% % 86.2% 6.6: % 67.0% % 87.6% % 77.3% % 80.5% 2 > FK CK FK 4 30% 6.2 Indexing 2 Index 6.1 Index 45

47 6 Indexing (1) Index Index Index Index (2) Index Index Indexing Indexing (3) Index Index 46

48 ' & 6 C +,.- (*),.- / "!$#% $: < >@? <?FEHG = =BADC C ; $: < >@? <?FEHG I =KJ I =JLA INM ILM ILM 6.1: 47

49 7 7.1 Index Indexing OPTA [10] 48

50 7 7.1: 7.2: 49

51 [1],, 2001,Feb 2002 [2],, 2003,Feb 2004 [3],, 2003,Feb 2004 [4],,,, ,Feb 2002 [5],,,, TECHNICAL REPORT OF IEICE. PRMU ,Jan 2001 [6],,,, TECHNICAL REPORT OF IEICE. PRMU ,Jan 2001 [7],,,, TECHNICAL REPORT OF IEICE. PRMU ,Jan 2001 [8],,, - -, TECHNICAL REPORT OF IEICE. IE ,PRMU ,MVE ,Jul 2001 [9],V.V.Vinod, - -, D-ll Vol. J81-D-ll No.9,Sep

52 7 [10] OPTA INDEX 51

53 OB OB OB M2 M

131 71 7 1 71 71 71 71 71 71 71 71 71 71 7 1 71 71 71 71 71 71 71 71 7 1 71 7 1 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 7 1 71 71 71 71 71 71 71 71 71 7 1 71 71 71 71 71 71 71 7 1 71 7 1 71

More information

●70974_100_AC009160_KAPヘ<3099>ーシス自動車約款(11.10).indb

●70974_100_AC009160_KAPヘ<3099>ーシス自動車約款(11.10).indb " # $ % & ' ( ) * +, -. / 0 1 2 3 4 5 6 7 8 9 : ; < = >? @ A B C D E F G H I J K L M N O P Q R S T U V W X Y " # $ % & ' ( ) * + , -. / 0 1 2 3 4 5 6 7 8 9 : ; < = > ? @ A B

More information

Microsoft Word - 触ってみよう、Maximaに2.doc

Microsoft Word - 触ってみよう、Maximaに2.doc i i e! ( x +1) 2 3 ( 2x + 3)! ( x + 1) 3 ( a + b) 5 2 2 2 2! 3! 5! 7 2 x! 3x! 1 = 0 ",! " >!!! # 2x + 4y = 30 "! x + y = 12 sin x lim x!0 x x n! # $ & 1 lim 1 + ('% " n 1 1 lim lim x!+0 x x"!0 x log x

More information

コンピュータグラフィックス - 第4回 色彩の表現

コンピュータグラフィックス - 第4回 色彩の表現 .. 4 2013 10 9 ( ) 2013 10 9 1 / 22 3 3 3 ( ) 2013 10 9 2 / 22 380 nm 780 nm 1 nm = 10 9 m ( ) 2013 10 9 3 / 22 3 3 (S M L ) 3 3 3 ( ) 2013 10 9 4 / 22 加法混色 光の 3 原色を組み合わせることで 様々な色を表現できる 光を重ねて別の色を作ることを加法混色と呼ぶ

More information

1 2 3 X-Rite, Incorporated 1998 ALL RIGHTS RESERVED

1 2 3  X-Rite, Incorporated 1998 ALL RIGHTS RESERVED 1 2 3 www.x-rite.com X-Rite, Incorporated 1998 ALL RIGHTS RESERVED 1 1 The Color Guide and Glossary input 2 Color Communication 3 The Color Guide and Glossary 4 Color Communication 5 The Color Guide and

More information

76

76 ! # % & % & %& %& " $ 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 % & &! & $ & " & $ & # & ' 91 92 $ % $'%! %(% " %(% # &)% & 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 !$!$ "% "%

More information

7 27 7.1........................................ 27 7.2.......................................... 28 1 ( a 3 = 3 = 3 a a > 0(a a a a < 0(a a a -1 1 6

7 27 7.1........................................ 27 7.2.......................................... 28 1 ( a 3 = 3 = 3 a a > 0(a a a a < 0(a a a -1 1 6 26 11 5 1 ( 2 2 2 3 5 3.1...................................... 5 3.2....................................... 5 3.3....................................... 6 3.4....................................... 7

More information

欧州特許庁米国特許商標庁との共通特許分類 CPC (Cooperative Patent Classification) 日本パテントデータサービス ( 株 ) 国際部 2019 年 7 月 31 日 CPC 版が発効します 原文及び詳細はCPCホームページのCPC Revision

欧州特許庁米国特許商標庁との共通特許分類 CPC (Cooperative Patent Classification) 日本パテントデータサービス ( 株 ) 国際部 2019 年 7 月 31 日 CPC 版が発効します 原文及び詳細はCPCホームページのCPC Revision 欧州特許庁米国特許商標庁との共通特許分類 CPC (Cooperative Patent Classification) 日本パテントデータサービス ( 株 ) 国際部 2019 年 7 月 31 日 CPC 2019.08 版が発効します 原文及び詳細はCPCホームページのCPC Revisions(CPCの改訂 ) をご覧ください https://www.cooperativepatentclassification.org/cpcrevisions/noticeofchanges.html

More information

- 1 - - 2 - 320 421 928 1115 12 8 116 124 2 7 4 5 428 515 530 624 921 1115 1-3 - 100 250-4 - - 5 - - 6 - - 7 - - 8 - - 9 - & & - 11 - - 12 - GT GT - 13 - GT - 14 - - 15 - - 16 - - 17 - - 18 - - 19 - -

More information

顔認識の為のリアルタイム特徴抽出

顔認識の為のリアルタイム特徴抽出 ... 3... 4... 5... 5.... 5.... 6..... 6..... 8.... 8.... 8... 9.... 9..... 9..... 10.....11..... 12.... 17..... 17.... 19..... 19..... 21..... 23..... 24..... 25.... 26..... 26..... 26... 29.... 29....

More information

2

2 1 2 10 14 945 3000 2012 3 10 4 5 6 7 8 9 10 11 12 2011 11 21 12301430 (1215 ) 13 6 27 17 () ( ) ( ) (112360) 2 (1157) (119099) ((11861231) )( ) (11641205) 3 (1277) 3 4 (1558) (1639)() 12 (1699)( ) 7 (1722)

More information

32 1 7 1 20 ( ) [18 30] [21 00] 2 3 ( ( ) ) ( ) 4 1 2 95 ( 7 3 2 ) 1 2 3 2 a b

32 1 7 1 20 ( ) [18 30] [21 00] 2 3 ( ( ) ) ( ) 4 1 2 95 ( 7 3 2 ) 1 2 3 2 a b 31 1 7 1 ( ) [18 35] [20 40] 2 3 ( ( ) ) ( ) 4 1 2 1 22 1 2 a b T T A c d 32 1 7 1 20 ( ) [18 30] [21 00] 2 3 ( ( ) ) ( ) 4 1 2 95 ( 7 3 2 ) 1 2 3 2 a b 7 1 ( 34 ) 1 7 2 13 ( ) [18 20] [20 00] 2 4 7 3

More information

掲示用ヒート表 第34回 藤沢市長杯 2017

掲示用ヒート表 第34回 藤沢市長杯 2017 34 8 4 2 Round 1 Round 2 SEMI FINAL 30 16 8 H1 H5 H1 H1 Red 12401821 2 Red 12601360 2 1-1 Red 12501915 1 1-1 Red 12501915 4 White 12900051 4 White 12600138 3 3-1 White 12802412 2 3-1 White 12801091 1 Yellow

More information

1.1 EPS... 3 1.2 EPS... 3 1.2.1... 3 1.2.2... 4 1.3... 5 2.1 BMP... 6 2.2 BMP... 6 2.2.1... 6 2.2.2... 6 2.2.3 (Appendix )... 7 3.1 TIFF... 8 3.2 TIFF... 8 3.2.1... 8 3.2.2... 9 3.2.3 (Appendix )... 9

More information

r 1 m A r/m i) t ii) m i) t B(t; m) ( B(t; m) = A 1 + r ) mt m ii) B(t; m) ( B(t; m) = A 1 + r ) mt m { ( = A 1 + r ) m } rt r m n = m r m n B

r 1 m A r/m i) t ii) m i) t B(t; m) ( B(t; m) = A 1 + r ) mt m ii) B(t; m) ( B(t; m) = A 1 + r ) mt m { ( = A 1 + r ) m } rt r m n = m r m n B 1 1.1 1 r 1 m A r/m i) t ii) m i) t Bt; m) Bt; m) = A 1 + r ) mt m ii) Bt; m) Bt; m) = A 1 + r ) mt m { = A 1 + r ) m } rt r m n = m r m n Bt; m) Aert e lim 1 + 1 n 1.1) n!1 n) e a 1, a 2, a 3,... {a n

More information

1/68 A. 電気所 ( 発電所, 変電所, 配電塔 ) における変圧器の空き容量一覧 平成 31 年 3 月 6 日現在 < 留意事項 > (1) 空容量は目安であり 系統接続の前には 接続検討のお申込みによる詳細検討が必要となります その結果 空容量が変更となる場合があります (2) 特に記載

1/68 A. 電気所 ( 発電所, 変電所, 配電塔 ) における変圧器の空き容量一覧 平成 31 年 3 月 6 日現在 < 留意事項 > (1) 空容量は目安であり 系統接続の前には 接続検討のお申込みによる詳細検討が必要となります その結果 空容量が変更となる場合があります (2) 特に記載 1/68 A. 電気所 ( 発電所, 変電所, 配電塔 ) における変圧器の空き容量一覧 平成 31 年 3 月 6 日現在 < 留意事項 > (1) 空容量は目安であり 系統接続の前には 接続検討のお申込みによる詳細検討が必要となります その結果 空容量が変更となる場合があります (2) 特に記載のない限り 熱容量を考慮した空き容量を記載しております その他の要因 ( 電圧や系統安定度など ) で連系制約が発生する場合があります

More information

D端子 RGBコンバータ ユーザーズマニュアル

D端子 RGBコンバータ ユーザーズマニュアル LDC-RGB V0W D-COMPONENT to RGB Converter D -RGB LDC-RGB ... 1... 4... 4...5... 6... 6... 8... 13... 14... 14... 17... 17... 19... 0... 4... 6... 9... 31... 35... 37... 39... 4... 44... 44... 48 D... 54...

More information

-1-1 1 1 1 1 12 31 2 2 3 4

-1-1 1 1 1 1 12 31 2 2 3 4 2007 -1-1 1 1 1 1 12 31 2 2 3 4 -2-5 6 CPU 3 Windows98 1 -3-2. 3. -4-4 2 5 1 1 1 -5- 50000 50000 50000 50000 50000 50000 50000 50000 50000 50000-6- -7-1 Windows 2 -8-1 2 3 4 - - 100,000 200,000 500,000

More information

x = a 1 f (a r, a + r) f(a) r a f f(a) 2 2. (a, b) 2 f (a, b) r f(a, b) r (a, b) f f(a, b)

x = a 1 f (a r, a + r) f(a) r a f f(a) 2 2. (a, b) 2 f (a, b) r f(a, b) r (a, b) f f(a, b) 2011 I 2 II III 17, 18, 19 7 7 1 2 2 2 1 2 1 1 1.1.............................. 2 1.2 : 1.................... 4 1.2.1 2............................... 5 1.3 : 2.................... 5 1.3.1 2.....................................

More information

21 e-learning Development of Real-time Learner Detection System for e-learning

21 e-learning Development of Real-time Learner Detection System for e-learning 21 e-learning Development of Real-time Learner Detection System for e-learning 1100349 2010 3 1 e-learning WBT (Web Based training) e-learning LMS (Learning Management System) LMS WBT e-learning e-learning

More information

★結果★ 藤沢市長杯 掲示用ヒート表

★結果★ 藤沢市長杯 掲示用ヒート表 AA 35 Round 1 8 4 Round 2 28 16 SEMI FINAL H1 H5 H1 H1 Red 12802015 1 Red 12802109 1 1-1 Red 12802015 2 1-1 Red 12702346 White 12800232 2 White 12702406 3 3-1 White 12702346 1 3-1 White 12802109 Yellow

More information

Microsoft Word - 5MS.doc

Microsoft Word - 5MS.doc 5 5.1 mass spectrometer electron impact, EI 5.1 :;"< 789 =>? *!"#$%& '%&(),,,-./ 0.12%3456 :;"@AB CDEFG:;"HIJK@LMN :;"@HIOPQ0RST6 5.1. 70 ev molecular ion #"$%& M M e!"!"'() #" m/z ; m = z = 1 mass spectrum,

More information

main.dvi

main.dvi A 1/4 1 1/ 1/1 1 9 6 (Vergence) (Convergence) (Divergence) ( ) ( ) 97 1) S. Fukushima, M. Takahashi, and H. Yoshikawa: A STUDY ON VR-BASED MUTUAL ADAPTIVE CAI SYSTEM FOR NUCLEAR POWER PLANT, Proc. of FIFTH

More information

飯能市と名栗村の新しいまちづくり計画に関する住民意識調査

飯能市と名栗村の新しいまちづくり計画に関する住民意識調査 - 1 - - 2-299 299 299 - 3-299 299 - 4-30 299 299 JR - 5-10 299 299 12 JR 2K JR - 6 - R299 R299 299 27 299 299 JR - 7 - JR 50 1 2 20 299 299 - 8-299 --- 299 70 299 - 9-299 299 33 - 10 - TV 2/ 299 299 -

More information

f : R R f(x, y) = x + y axy f = 0, x + y axy = 0 y 直線 x+y+a=0 に漸近し 原点で交叉する美しい形をしている x +y axy=0 X+Y+a=0 o x t x = at 1 + t, y = at (a > 0) 1 + t f(x, y

f : R R f(x, y) = x + y axy f = 0, x + y axy = 0 y 直線 x+y+a=0 に漸近し 原点で交叉する美しい形をしている x +y axy=0 X+Y+a=0 o x t x = at 1 + t, y = at (a > 0) 1 + t f(x, y 017 8 10 f : R R f(x) = x n + x n 1 + 1, f(x) = sin 1, log x x n m :f : R n R m z = f(x, y) R R R R, R R R n R m R n R m R n R m f : R R f (x) = lim h 0 f(x + h) f(x) h f : R n R m m n M Jacobi( ) m n

More information

SXF Converter for DWG 2004/ SXFデータトランスレータ 2004 注意事項

SXF Converter for DWG 2004/ SXFデータトランスレータ 2004 注意事項 SXF Converter for DWG 2004 SXF2004 (2005 ) 1... 1 1.1... 1 1.2 Windows DWG... 1 2 AutoCAD SXF... 1 2.1... 1 2.2... 1 2.3... 1 2.4... 1 2.5... 1 2.6... 2 2.7... 2 2.8... 3 2.9... 3 2.10... 4 2.11... 5 2.12...

More information

曲面のパラメタ表示と接線ベクトル

曲面のパラメタ表示と接線ベクトル L11(2011-07-06 Wed) :Time-stamp: 2011-07-06 Wed 13:08 JST hig 1,,. 2. http://hig3.net () (L11) 2011-07-06 Wed 1 / 18 ( ) 1 V = (xy2 ) x + (2y) y = y 2 + 2. 2 V = 4y., D V ds = 2 2 ( ) 4 x 2 4y dy dx =

More information

7. y fx, z gy z gfx dz dx dz dy dy dx. g f a g bf a b fa 7., chain ule Ω, D R n, R m a Ω, f : Ω R m, g : D R l, fω D, b fa, f a g b g f a g f a g bf a

7. y fx, z gy z gfx dz dx dz dy dy dx. g f a g bf a b fa 7., chain ule Ω, D R n, R m a Ω, f : Ω R m, g : D R l, fω D, b fa, f a g b g f a g f a g bf a 9 203 6 7 WWW http://www.math.meiji.ac.jp/~mk/lectue/tahensuu-203/ 2 8 8 7. 7 7. y fx, z gy z gfx dz dx dz dy dy dx. g f a g bf a b fa 7., chain ule Ω, D R n, R m a Ω, f : Ω R m, g : D R l, fω D, b fa,

More information

ランダムウォークの境界条件・偏微分方程式の数値計算

ランダムウォークの境界条件・偏微分方程式の数値計算 B L06(2018-05-22 Tue) : Time-stamp: 2018-05-22 Tue 21:53 JST hig,, 2, multiply transf http://hig3.net L06 B(2018) 1 / 38 L05-Q1 Quiz : 1 M λ 1 = 1 u 1 ( ). M u 1 = u 1, u 1 = ( 3 4 ) s (s 0)., u 1 = 1

More information

tottori2013-print.key

tottori2013-print.key 1 / 152 3 / 152 2 / 152 4 / 152 5 / 152 7 / 152 6 / 152 8 / 152 9 / 152 11 / 152 Red: [R,G,B] = [255,0,0] Yellow [R,G,B] = [255, 255, 0] Magenta [R,G,B] = [255, 0, 255] W [R,G,B] = [ Green: [R,G,B] = [0,

More information

14 CRT Color Constancy in the Conditions of Dierent Cone Adaptation in a CRT Display

14 CRT Color Constancy in the Conditions of Dierent Cone Adaptation in a CRT Display 14 CRT Color Constancy in the Conditions of Dierent Cone Adaptation in a CRT Display 1030281 2003 2 12 CRT [1] CRT. CRT von Kries PC CRT CRT 9300K CRT 6500K CRT CRT 9300K x y S L-2M x y von Kries S L-2M

More information

X G P G (X) G BG [X, BG] S 2 2 2 S 2 2 S 2 = { (x 1, x 2, x 3 ) R 3 x 2 1 + x 2 2 + x 2 3 = 1 } R 3 S 2 S 2 v x S 2 x x v(x) T x S 2 T x S 2 S 2 x T x S 2 = { ξ R 3 x ξ } R 3 T x S 2 S 2 x x T x S 2

More information

13 0 1 1 4 11 4 12 5 13 6 2 10 21 10 22 14 3 20 31 20 32 25 33 28 4 31 41 32 42 34 43 38 5 41 51 41 52 43 53 54 6 57 61 57 62 60 70 0 Gauss a, b, c x, y f(x, y) = ax 2 + bxy + cy 2 = x y a b/2 b/2 c x

More information

1 28 6 12 7 1 7.1...................................... 2 7.1.1............................... 2 7.1.2........................... 2 7.2...................................... 3 7.3...................................

More information

2012年総選挙・テレビはどう伝えたか

2012年総選挙・テレビはどう伝えたか 2012 2013 1 2012 46 11 16 11 14 12 15 4 1 7 1 300 59.32 204 3 9 9 60 2 2010 5 67 11 19 30 3 19 23 11 20 21 23 24 23 12 12 4 12 4 14 14 13 3 10 2 40 2 10 1 40 18 23 11 27 22 28 16 40 5 11 21 12 13 12 3

More information

熊本県数学問題正解

熊本県数学問題正解 00 y O x Typed by L A TEX ε ( ) (00 ) 5 4 4 ( ) http://www.ocn.ne.jp/ oboetene/plan/. ( ) (009 ) ( ).. http://www.ocn.ne.jp/ oboetene/plan/eng.html 8 i i..................................... ( )0... (

More information

第三学年  総合的な学習の指導案(国際理解・英語活動)

第三学年  総合的な学習の指導案(国際理解・英語活動) NAT NAT NAT NAT NAT NAT All English NAT 20 One One One One One Show Time Silent Night Are You Sleeping? NAT NAT NAT NAT NAT What color do you like? ( NA ( ) Good afternoon, boys & girls. Good afternoon,

More information

KLV-20AP2

KLV-20AP2 2-021-355-11 (1) KLV-20AP2 2005 Sony Corporation ... 2... 3... 57 3 57 2 57 1 1 139 Input Select utton page 39 138 Memo utton page 38 / 133 Channel +/ uttons page 33 /133 Volume +/ uttons page 33 Power

More information

モノグラフ・中学生の世界 Vol.62

モノグラフ・中学生の世界 Vol.62 q w e r t y u i o!0!1!2 !3!4!5!6!7!8 !9 @0 @1 q w q q w e r q w e qw qw qw qw q qw q w e r q w q w z x qw q w e q w r t y u i o!0!1!2!3!4!5!6!7!8

More information

s d

s d s d s s s q 1w d d d d s s q 1w q1w d s d d d d q1w d w w d d 4q 5q 6q 7q 8q 21q 41q 00q 10q 12q 70q 71q 81q 9q 31q d s d d s d s d d d d s d s q 1w q1w d d d d d

More information

1990 IMO 1990/1/15 1:00-4:00 1 N N N 1, N 1 N 2, N 2 N 3 N 3 2 x x + 52 = 3 x x , A, B, C 3,, A B, C 2,,,, 7, A, B, C

1990 IMO 1990/1/15 1:00-4:00 1 N N N 1, N 1 N 2, N 2 N 3 N 3 2 x x + 52 = 3 x x , A, B, C 3,, A B, C 2,,,, 7, A, B, C 0 9 (1990 1999 ) 10 (2000 ) 1900 1994 1995 1999 2 SAT ACT 1 1990 IMO 1990/1/15 1:00-4:00 1 N 1990 9 N N 1, N 1 N 2, N 2 N 3 N 3 2 x 2 + 25x + 52 = 3 x 2 + 25x + 80 3 2, 3 0 4 A, B, C 3,, A B, C 2,,,, 7,

More information

9 2 1 f(x, y) = xy sin x cos y x y cos y y x sin x d (x, y) = y cos y (x sin x) = y cos y(sin x + x cos x) x dx d (x, y) = x sin x (y cos y) = x sin x

9 2 1 f(x, y) = xy sin x cos y x y cos y y x sin x d (x, y) = y cos y (x sin x) = y cos y(sin x + x cos x) x dx d (x, y) = x sin x (y cos y) = x sin x 2009 9 6 16 7 1 7.1 1 1 1 9 2 1 f(x, y) = xy sin x cos y x y cos y y x sin x d (x, y) = y cos y (x sin x) = y cos y(sin x + x cos x) x dx d (x, y) = x sin x (y cos y) = x sin x(cos y y sin y) y dy 1 sin

More information

untitled

untitled ...1... 3 1... 3 2... 4 3... 4 4... 5...... 6 1... 6 2... 7 3... 8 4... 9 5... 10... 12 1... 12 2... 13 3... 14 4... 16...... 19 1... 19 2... 20 3... 22 4... 24...... 25... 26 1... 26 2... 26 3... 26......

More information

.1 z = e x +xy y z y 1 1 x 0 1 z x y α β γ z = αx + βy + γ (.1) ax + by + cz = d (.1') a, b, c, d x-y-z (a, b, c). x-y-z 3 (0,

.1 z = e x +xy y z y 1 1 x 0 1 z x y α β γ z = αx + βy + γ (.1) ax + by + cz = d (.1') a, b, c, d x-y-z (a, b, c). x-y-z 3 (0, .1.1 Y K L Y = K 1 3 L 3 L K K (K + ) 1 1 3 L 3 K 3 L 3 K 0 (K + K) 1 3 L 3 K 1 3 L 3 lim K 0 K = L (K + K) 1 3 K 1 3 3 lim K 0 K = 1 3 K 3 L 3 z = f(x, y) x y z x-y-z.1 z = e x +xy y 3 x-y ( ) z 0 f(x,

More information

KLV-15AP2

KLV-15AP2 2-590-527-01 (2) KLV-15AP2 2005 Sony Corporation ... 2... 3... 69 3 69 2 69 1 1 149 Input Select button page 49 148 Memo button page 48 / 143 Channel +/ buttons page 43 /143 Volume +/ buttons page 43 Power

More information

GE5000シリーズ ユーザーズマニュアル プリンタードライバー編

GE5000シリーズ ユーザーズマニュアル プリンタードライバー編 T-984P-6B MA1406-C 2015 6 15 3 1.Windows...3 2....6 3....7 3.1...7 4....9 4.1...9 4.2...12 4.3...14 4.4...16 4.5...18 4.6...20 4.7 GE5000...21 4.8 GE5000...22 4.9 GE5000-BR...24 4.10 GE5000-BR...25 4.11...27

More information

[ ] Table

[ ] Table [] Te P AP OP [] OP c r de,,,, ' ' ' ' de,, c,, c, c ',, c mc ' ' m' c ' m m' OP OP p p p ( t p t p m ( m c e cd d e e c OP s( OP t( P s s t (, e e s t s 5 OP 5 5 s t t 5 OP ( 5 5 5 OAP ABP OBP ,, OP t(

More information

S: E: O: C: V : 5

S: E: O: C: V : 5 ( ) 2004 1 S: E: O: C: V : 5 1 1 2 2 2.1.................................... 2 2.2........................ 2 2.3........................... 3 3 7 3.1.................................... 7 3.2....................................

More information

1 1 2 65

1 1 2 65 3 3 2000 6 14 2 30 4 2 1 1 2 65 1!?? < > 3 2 2 100 19 19 100 100 100 < > 19 2 2 2 2 < > 2000 2000 50 1945 5 50 1945 5 45 20 20 4 1945 4 5 5 5 100 50 20 5 2 20 5 20 5 5 6 20 6 19 5 5 6 5 6 2 20 6 21

More information

( )

( ) 18 10 01 ( ) 1 2018 4 1.1 2018............................... 4 1.2 2018......................... 5 2 2017 7 2.1 2017............................... 7 2.2 2017......................... 8 3 2016 9 3.1 2016...............................

More information

1.1 ft t 2 ft = t 2 ft+ t = t+ t 2 1.1 d t 2 t + t 2 t 2 = lim t 0 t = lim t 0 = lim t 0 t 2 + 2t t + t 2 t 2 t + t 2 t 2t t + t 2 t 2t + t = lim t 0

1.1 ft t 2 ft = t 2 ft+ t = t+ t 2 1.1 d t 2 t + t 2 t 2 = lim t 0 t = lim t 0 = lim t 0 t 2 + 2t t + t 2 t 2 t + t 2 t 2t t + t 2 t 2t + t = lim t 0 A c 2008 by Kuniaki Nakamitsu 1 1.1 t 2 sin t, cos t t ft t t vt t xt t + t xt + t xt + t xt t vt = xt + t xt t t t vt xt + t xt vt = lim t 0 t lim t 0 t 0 vt = dxt ft dft dft ft + t ft = lim t 0 t 1.1

More information