2010 : M CG 3DCG 3 3
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- つかさ かむら
- 5 years ago
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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 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..............................
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