2010 : M CG 3DCG 3 3

Size: px
Start display at page:

Download "2010 : M CG 3DCG 3 3"

Transcription

1 2010 M

2 2010 : M CG 3DCG 3 3

3 I

4 II

5 S S N III

6 DCG 3DCG 3DCG [1] [2] 3DCG 1

7 3 Autodesk Maya 3 [3] [4][5] [6]

8 2 2.1 [7] 3 [1] [8] 3

9 [9][10]

10 2.3 3DCG CG 3DCG [11] [12] CG CG [13] [14] 3D 2.4 3DCG 5

11 : 6

12 3 3DCG DCG

13 Bezier Bezier

14 DCG [15][16][17] [18][19]

15 :

16 3.2: Bezier B 0, B 1,, B n 1 (3.1) P(t) = N 1 i=0 B i J (N 1)i (t) (3.1) J ni (t) Bernstein ( ) n J ni (t) = t i (1 t) n 1 (3.2) i 0 t 1 B 0 B N 1 11

17 3.3.2 Bezier 2 Bezier 5 Bezier Bezier t t 2 k r 1 k 0 t 1 P s x θ P k (3.3) k = lim θ 0 y = f(x) (3.4) θ (3.3) s k = y ) 3, r = (1 1 + (y ) 2 2 k (3.4) x = x(t), y = y(t) (3.5) x (t)y (t) x (t)y (t) k = ) 3, r = ((x 1 (t)) 2 + (y (t)) 2 2 k (3.5) 12

18 3.3.3 [15] [16] : n 2n

19 XZ P = (P x, 0, P z ), Q = (Q x, 0, Q z ) R = (0, R y, 0) R = P Q P, Q P Q Y Q P R y > 0 R y <

20 : 3.5: 15

21 4 3D Fine Kernel Toolkit System[20] : 16

22 X 100 Y 10 Z : 3 17

23 4.3 Bezier 4.3:

24 :

25 : 20

26 S 2 S S S

27 図 5.1: 基本形状と初期値による変形結果 図 5.2: 深さを 3 に変更した場合の変形結果 22

28 5.3: : 3 23

29 5.5: S S

30 図 5.6: 急な S 字カーブの場合 図 5.7: 緩い S 字カーブの場合 25

31 5.1.3 S : 26

32 : 5.10 N N N 27

33 5.10: N

34 4 D 3D D D 5 29

35 5.11: D

36 D

37 5.12: 32

38

39 34

40 [1].., Vol. 24, pp. 5 14, [2].., [3] Autodesk Inc. Autodesk Maya. [4],,,.., Vol. vol.100, pp , [5] Nayuko Watanabe,Takeo Igarasi. A sketching interface for terrain modeling. SIGGRAPH, Vol. poster,, [6].., [7] [8],.., Vol. 6, pp , [9].., [10].., [11]. cg. pp. 1 12, 2001,8. 35

41 [12],,.. 615, pp. 2 9, 2004,8. [13],,,. Cg. pp [14],,.., pp , 2008,2. [15],. Mathematical morphology., p. 2, [16],,,,.. p. 10. [17],,. 3. (D-2), Vol. J84-D-2, pp , [18],. x ct., Vol. vol.5, pp , [19],,. 3., Vol. J84-D-2, pp , [20]. FK System Ver

2010 : M

2010 : M 2010 M0107288 2010 : M0107288 1 1 1.1............................ 1 1.2............................... 3 2 4 2.1................ 4 2.2....................... 6 3 9 3.1......................... 9 3.1.1..............................

More information

2018 M

2018 M 2018 M0115001 2018 9 2018 : M0115001 1 3D 3D 1 3D 3D 1 1 1.1......................................... 1 1.2......................................... 3 2 4 2.1...................................... 4 2.2................................

More information

20 15 14.6 15.3 14.9 15.7 16.0 15.7 13.4 14.5 13.7 14.2 10 10 13 16 19 22 1 70,000 60,000 50,000 40,000 30,000 20,000 10,000 0 2,500 59,862 56,384 2,000 42,662 44,211 40,639 37,323 1,500 33,408 34,472

More information

I? 3 1 3 1.1?................................. 3 1.2?............................... 3 1.3!................................... 3 2 4 2.1........................................ 4 2.2.......................................

More information

- 2 -

- 2 - - 2 - - 3 - (1) (2) (3) (1) - 4 - ~ - 5 - (2) - 6 - (1) (1) - 7 - - 8 - (i) (ii) (iii) (ii) (iii) (ii) 10 - 9 - (3) - 10 - (3) - 11 - - 12 - (1) - 13 - - 14 - (2) - 15 - - 16 - (3) - 17 - - 18 - (4) -

More information

2 1980 8 4 4 4 4 4 3 4 2 4 4 2 4 6 0 0 6 4 2 4 1 2 2 1 4 4 4 2 3 3 3 4 3 4 4 4 4 2 5 5 2 4 4 4 0 3 3 0 9 10 10 9 1 1

2 1980 8 4 4 4 4 4 3 4 2 4 4 2 4 6 0 0 6 4 2 4 1 2 2 1 4 4 4 2 3 3 3 4 3 4 4 4 4 2 5 5 2 4 4 4 0 3 3 0 9 10 10 9 1 1 1 1979 6 24 3 4 4 4 4 3 4 4 2 3 4 4 6 0 0 6 2 4 4 4 3 0 0 3 3 3 4 3 2 4 3? 4 3 4 3 4 4 4 4 3 3 4 4 4 4 2 1 1 2 15 4 4 15 0 1 2 1980 8 4 4 4 4 4 3 4 2 4 4 2 4 6 0 0 6 4 2 4 1 2 2 1 4 4 4 2 3 3 3 4 3 4 4

More information

1 (1) (2)

1 (1) (2) 1 2 (1) (2) (3) 3-78 - 1 (1) (2) - 79 - i) ii) iii) (3) (4) (5) (6) - 80 - (7) (8) (9) (10) 2 (1) (2) (3) (4) i) - 81 - ii) (a) (b) 3 (1) (2) - 82 - - 83 - - 84 - - 85 - - 86 - (1) (2) (3) (4) (5) (6)

More information

4 小川/小川

4 小川/小川 B p p B pp M p T p M p Tp T pt T p T p T p p Tp T T p T p T pt p Tp p p p p p p p p T p p T T M M p p p p p p T p p p T T p T B T T p T T p T p T T T p T p p T p Tp T p p Tp T p T Tp T T p T p T p T p

More information

mugensho.dvi

mugensho.dvi 1 1 f (t) lim t a f (t) = 0 f (t) t a 1.1 (1) lim(t 1) 2 = 0 t 1 (t 1) 2 t 1 (2) lim(t 1) 3 = 0 t 1 (t 1) 3 t 1 2 f (t), g(t) t a lim t a f (t) g(t) g(t) f (t) = o(g(t)) (t a) = 0 f (t) (t 1) 3 1.2 lim

More information

44 4 I (1) ( ) (10 15 ) ( 17 ) ( 3 1 ) (2)

44 4 I (1) ( ) (10 15 ) ( 17 ) ( 3 1 ) (2) (1) I 44 II 45 III 47 IV 52 44 4 I (1) ( ) 1945 8 9 (10 15 ) ( 17 ) ( 3 1 ) (2) 45 II 1 (3) 511 ( 451 1 ) ( ) 365 1 2 512 1 2 365 1 2 363 2 ( ) 3 ( ) ( 451 2 ( 314 1 ) ( 339 1 4 ) 337 2 3 ) 363 (4) 46

More information

2009 : M DCG 3 4 3

2009 : M DCG 3 4 3 2009 M0106121 2009 : M0106121 3DCG 3 4 3 1 1 1.1............................. 1 1.2.............................. 4 2 5 2.1.............................. 5 2.2............................. 6 2.2.1...........................

More information

i ii i iii iv 1 3 3 10 14 17 17 18 22 23 28 29 31 36 37 39 40 43 48 59 70 75 75 77 90 95 102 107 109 110 118 125 128 130 132 134 48 43 43 51 52 61 61 64 62 124 70 58 3 10 17 29 78 82 85 102 95 109 iii

More information

FX ) 2

FX ) 2 (FX) 1 1 2009 12 12 13 2009 1 FX ) 2 1 (FX) 2 1 2 1 2 3 2010 8 FX 1998 1 FX FX 4 1 1 (FX) () () 1998 4 1 100 120 1 100 120 120 100 20 FX 100 100 100 1 100 100 100 1 100 1 100 100 1 100 101 101 100 100

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

Ver.1.0.1-1512 1. 03 2. 04 3. 05 05 4. 06 07 5. 08 6. 09 10 11 12 14 7. 19 2 1. Plus / 3 2. 1 4 3. Plus 5 4. FX 6 4. 7 5. 1 200 3 8 6. 38 25 16 9 6. 10 6. 11 6. 38 / 12 6. 13 6. 25 14 6. 0 359 15 6. 3

More information

2003 : 00P249,,, CG

2003 : 00P249,,, CG 2003 Web3D 00P249 2003 : 00P249,,, CG 1 1 1.1................................. 1 1.2................................. 3 1.3.............................. 3 2 4 2.1............................... 4 2.2.....................

More information

1 10 1113 14 1516 1719 20 21 22 2324 25 2627 i 2829 30 31 32 33 3437 38 3941 42 4344 4547 48 4950 5152 53 5455 ii 56 5758 59 6061 iii 1 2 3 4 5 6 7 8 9 10 PFI 30 20 10 PFI 11 12 13 14 15 10 11 16 (1) 17

More information

日経テレコン料金表(2016年4月)

日経テレコン料金表(2016年4月) 1 2 3 4 8,000 15,000 22,000 29,000 5 6 7 8 36,000 42,000 48,000 54,000 9 10 20 30 60,000 66,000 126,000 166,000 50 100 246,000 396,000 1 25 8,000 7,000 620 2150 6,000 4,000 51100 101200 3,000 1,000 201

More information

29 2011 3 4 1 19 5 2 21 6 21 2 21 7 2 23 21 8 21 1 20 21 1 22 20 p.61 21 1 21 21 1 23

29 2011 3 4 1 19 5 2 21 6 21 2 21 7 2 23 21 8 21 1 20 21 1 22 20 p.61 21 1 21 21 1 23 29 2011 3 pp.55 86 19 1886 2 13 1 1 21 1888 1 13 2 3,500 3 5 5 50 4 1959 6 p.241 21 1 13 2 p.14 1988 p.2 21 1 15 29 2011 3 4 1 19 5 2 21 6 21 2 21 7 2 23 21 8 21 1 20 21 1 22 20 p.61 21 1 21 21 1 23 1

More information

() L () 20 1

() L () 20 1 () 25 1 10 1 0 0 0 1 2 3 4 5 6 2 3 4 9308510 4432193 L () 20 1 PP 200,000 P13P14 3 0123456 12345 1234561 2 4 5 6 25 1 10 7 1 8 10 / L 10 9 10 11 () ( ) TEL 23 12 7 38 13 14 15 16 17 18 L 19 20 1000123456

More information

戦後の補欠選挙

戦後の補欠選挙 1 2 11 3 4, 1968, p.429., pp.140-141. 76 2005.12 20 14 5 2110 25 6 22 7 25 8 4919 9 22 10 11 12 13 58154 14 15 1447 79 2042 21 79 2243 25100 113 2211 71 113 113 29 p.85 2005.12 77 16 29 12 10 10 17 18

More information

73 p.1 22 16 2004p.152

73 p.1 22 16 2004p.152 1987 p.80 72 73 p.1 22 16 2004p.152 281895 1930 1931 12 28 1930 10 27 12 134 74 75 10 27 47.6 1910 1925 10 10 76 10 11 12 139 p.287 p.10 11 pp.3-4 1917 p.284 77 78 10 13 10 p.6 1936 79 15 15 30 80 pp.499-501

More information

122011pp.139174 18501933

122011pp.139174 18501933 122011pp.139174 18501933 122011 1850 3 187912 3 1850 8 1933 84 4 1871 12 1879 5 2 1 9 15 1 1 5 3 3 3 6 19 9 9 6 28 7 7 4 1140 9 4 3 5750 58 4 3 1 57 2 122011 3 4 134,500,000 4,020,000 11,600,000 5 2 678.00m

More information

2 2 3 4 5 5 2 7 3 4 6 1 3 4 7 4 2 2 2 4 2 3 3 4 5 1932 A p. 40. 1893 A p. 224, p. 226. 1893 B pp. 1 2. p. 3.

2 2 3 4 5 5 2 7 3 4 6 1 3 4 7 4 2 2 2 4 2 3 3 4 5 1932 A p. 40. 1893 A p. 224, p. 226. 1893 B pp. 1 2. p. 3. 1 73 72 1 1844 11 9 1844 12 18 5 1916 1 11 72 1 73 2 1862 3 1870 2 1862 6 1873 1 3 4 3 4 7 2 3 4 5 3 5 4 2007 p. 117. 2 2 3 4 5 5 2 7 3 4 6 1 3 4 7 4 2 2 2 4 2 3 3 4 5 1932 A p. 40. 1893 A p. 224, p. 226.

More information

Microsoft Word - 映画『東京裁判』を観て.doc

Microsoft Word - 映画『東京裁判』を観て.doc 1 2 3 4 5 6 7 1 2008. 2 2010, 3 2010. p.1 4 2008 p.202 5 2008. p.228 6 2011. 7 / 2008. pp.3-4 1 8 1 9 10 11 8 2008, p.7 9 2011. p.41 10.51 11 2009. p. 2 12 13 14 12 2008. p.4 13 2008, p.7-8 14 2008. p.126

More information

308 ( ) p.121

308 ( ) p.121 307 1944 1 1920 1995 2 3 4 5 308 ( ) p.121 309 10 12 310 6 7 ( ) ( ) ( ) 50 311 p.120 p.142 ( ) ( ) p.117 p.124 p.118 312 8 p.125 313 p.121 p.122 p.126 p.128 p.156 p.119 p.122 314 p.153 9 315 p.142 p.153

More information

o 2o 3o 3 1. I o 3. 1o 2o 31. I 3o PDF Adobe Reader 4o 2 1o I 2o 3o 4o 5o 6o 7o 2197/ o 1o 1 1o

o 2o 3o 3 1. I o 3. 1o 2o 31. I 3o PDF Adobe Reader 4o 2 1o I 2o 3o 4o 5o 6o 7o 2197/ o 1o 1 1o 78 2 78... 2 22201011... 4... 9... 7... 29 1 1214 2 7 1 8 2 2 3 1 2 1o 2o 3o 3 1. I 1124 4o 3. 1o 2o 31. I 3o PDF Adobe Reader 4o 2 1o 72 1. I 2o 3o 4o 5o 6o 7o 2197/6 9. 9 8o 1o 1 1o 2o / 3o 4o 5o 6o

More information

2010 : M0107189 3DCG 3 (3DCG) 3DCG 3DCG 3DCG S

2010 : M0107189 3DCG 3 (3DCG) 3DCG 3DCG 3DCG S 2010 M0107189 2010 : M0107189 3DCG 3 (3DCG) 3DCG 3DCG 3DCG S 1 1 1.1............................ 1 1.2.............................. 4 2 5 2.1............................ 5 2.2.............................

More information

II 1 3 2 5 3 7 4 8 5 11 6 13 7 16 8 18 2 1 1. x 2 + xy x y (1 lim (x,y (1,1 x 1 x 3 + y 3 (2 lim (x,y (, x 2 + y 2 x 2 (3 lim (x,y (, x 2 + y 2 xy (4 lim (x,y (, x 2 + y 2 x y (5 lim (x,y (, x + y x 3y

More information

みさき_1

みさき_1 2 3 4 5 6 7 1F 2F 8 9 10 11 17 18 19 20 21 22 23 24 31 25 26 27 28 29 30 8 1 2 3 4 5 6 7 6 8 7 16 7 8 9 10 11 12 14 15 13 17 23 Vol.41 8 6 20 11 7 15 7 23 7 7 7 16 23 23 8 13 18:00 22:00 722

More information

H21_report

H21_report vol.4 1 2 6 10 14 18 20 22 24 25 1 2 2172 73 3 21925 926 21125 126 4 5 6 21629 630 7 21107 108 21127 128 8 9 10 21616 617 11 211026 1027 211213 1214 12 13 14 21713 714 15 2194 95 211031 111 16 17 18 19

More information

untitled

untitled Vol.27 1 Vol.27 2 Vol.27 3 Vol.27 4 Vol.27 5 Vol.27 6 Vol.27 7 Vol.27 8 Vol.27 9 Vol.27 10 11 Vol.27 Vol.27 12 Vol.27 13 Vol.27 14 Vol.27 15 Vol.27 16 Vol.27 17 Vol.27 2007 10 29 18 http://www.nira.or.jp/index.html

More information

09030549_001.図書館31-1

09030549_001.図書館31-1 vol.31 NO.1 2 3 5 6 10 12 8 1947-1954- 1950-1838-1904 1952-1996 1 913-1954 1981-1958- 1 902-1992 1972-1946- 1 940- 1 2 3 3 5 6 6 8 8 12 8 8 1 2 2 http://library.hokkai-s-u.ac.jp/cgi-bin/tosyokan/index.cgi

More information