Computer Aided Engineering Design

DESIGN OF SURFACES 231

qqq

qqq

qqq

00 01 02

10 11 12

20 21 22

= {0, 2, 2} = {0, 3, 2} = {0, 4, 4}

= {1, 3, 3} = {1, 4, 3} = {1, 5, 5}

= {2, 2, 2} = {2, 3, 2} = {2, 4, 4}

⎡

⎣

⎢

⎢

⎢

⎤

⎦

⎥

⎥

⎥

The individual surfaces are shown separately in Figure 7.20 (a) and (b), respectively. The composite
surface joined at the common quadratic curve {p 02 ,p 12 ,p 22 } = {q 00 ,q 10 ,q 20 } is shown in Figure 7.21.

Figure 7.20 Two bi-quadratic Bézier surfaces in Example 7.10

3

2

1

0

0

1

2

(^30) 0.5
1
1.5
2
5
4
3
2
2
3
4
50
0.5
(^1) 1.5
2
(a) Surface Sp (b) Surface Sq
Figure 7.21 Composite bi-quadratic Bézier surface in Example 7.10
4
3
2
1
0
0
1
2
3
4
0
0.5
(^1) 1.5
2