ed points in
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T: Zs) (30a)
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| stereo pair,
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es 16a, 16b,
ylinder, and
ctions.
r parameter)
ind a sphere
le 8, table 9,
table 10. Figures 19a, 19b, 20a, 20b, 21a, 21b are their stereo
Figures 19c, 20c, 21c are their 3D reconstruction
pairs.
drawings.
(4) The geometric elements (radius, height, other parameter)
of the complex object are shown in table 11. Figures 22a, 22b
are a stereo pair. Figure 22c is its 3D reconstruction.
Table 4 (Cube) (T. = theoretic, C. = Calculable, and V. = Value.)
Length (mm) Width (mm) Height (mm)
T.V. | C.V. T. V. CN. T. V. C. V.
1000.0 | 999.983 1000.0 | 1000.066 | 1000.0 1000.107
Table 5 (sphere) Table 6 (Cylinder)
Radius (mm) Radius Height
TV. CV. T. V. 3| iC. V. T. Vood c.v.
800.0 | 799.9906 600.0 | 599.9391 800.0 | 800.3074
Table 7 (Spheroid)
Semi major axis (A) | Semi medium axis(B) | Semi minor axis (C)
T.V. CN. T.V. C. V. T.V. C V.
1200.0 |1200.001 | 400.00 400.002 1000.0 | 999.9353
Table 8 (intersection of plane and cylinder)
Radius A’ B' D'
T.V. IC. V... ]- T. V. LEN. T.V. L.C. V. Ta Madbe Vs
800.0 | 800.01 | - 0.50 |- 0.501 |-0.50 |-0.5096 | 1000.0] 1000.1
Table 9 (intersection of sphere and sphere)
Big sphere radius Small sphere radius | Height
Tal C. V. T. V3) CV. avi CV.
800.0 |799.9918 | 400.0 | 400.0991 100.0 | 100.0732
Table 10 (intersection of cylinder and cylinder)
Big cylinder radius S. cylinder radius Height
TV. c. V. T. V. C. V. T. Vaud c. V.
600.00 600.0076 | 450.00 | 450.0398 | 0.00 -0.06732
Table 11 (a complex object )
Primitive | Parameters D. V.| CV
Name Name (mm) | (mm)
length 600.0 | 600.019
Cube width 400.0 | 399.815
height 200.0 | 199.992
up radius 100.0 | 100.101
down radius 200.0 | 200.203
height 300.0 | 299.901
Frustum Xo | 0.00 |-
of cone | translation | Yo | 0.00 |-
arameters | Zo | 0.00 |-
F 10.00 |-
rotation V 10.00 |-
parameters | K |0.00 |-
radius 100.0 | 99.989
height 300.0 | 299.331
Xo | 0.00 |-
(Hole) | translation | Yo [0.00 |-
Cylinder | parameters | Zo | 0.00 |-
F | 0.00 l|-
rotation V 10.00
parameters |K | 0.00
(Continue table 11)
Parameter First cylinder (mm) Second cylinder
(mm)
Names D.V. M. V. D.V. M. V.
| Radius 200.00 | 199.694 | 100.00 99.889
| Height 200.00 [199.896 | 200.00 200.218
0.00 0.01 200.00 200.031
Transfer 0.00 0.14 200.00
207
0.00 0.26 -200.00 -200.307
0.00 - 0.00 -
Rotate 0.00 - 0.00 -
0.00 - 0.00 -
(a) (b) (c)
Fig. 15. A cube and its reconstruction.
(a) (b) (c)
Fig. 16. A sphere and its reconstruction.
t
(a) (b) (c)
Fig. 17. A cylinder and its reconstruction.
(a) (b)
Fig. 18. A spheroid and its reconstruction .
UN
(a) (b) (c)
Fig. 19. A plane and a cylinder intersection and its reconstruction.
(a) (b) (c)
Fig. 20. A sphere and a sphere intersection and its reconstruction.
(a) (b) (c)
Fig. 21. A cylinder and a cylinder intersection and its reconstruction
(where: Great Cylinder Equitation X-Rcos(u), Y-Rsin(u), Z-t, Small
Cylinder Equitation X=R'cos(u), Y=t', Z=R'sin(u), Central axis for
small cylinder is consistent with y-axis of great cylinder).
]
(a) (b) (c)
Fig. 22. A complex object and its reconstruction.
Experiments: Three groups of real datum (images) are tested.
The first group is composed of an object; the second image has
three objects; and the third image contains many objects. The
size of images is 512X512 pixels with 8 biU/256 gray level.
These industrial parts are designed by GEMS system, and then
are manufactured in factory. Finally these objects are put in
experimental platform. Three groups of real images are captured
by CCD camera (type: COSMICAR) when the cameras was