Two-CCD binocular stereo vision systems using pinhole model are attracting research interest in many important fields such as 3-D coordinate measurement. However, new system modeling is difficult because of lack of fundamental imaging formation theory. In this paper, in order to measure a 3-D surface, we demonstrate how a binocular stereo vision system can be modeled by the proposed skew ray tracing method to study the geometric relations between the binocular camera images and the 3-D surface. In order to investigate the overall accuracy and resolution of this system, the influence of infinitesimal camera reading errors on measured coordinate errors is determined by sensitivity analysis. Experimental verification demonstrates that the performance of the proposed system is excellent.

1.
Barnard
,
S. T.
, and
Fischler
,
M. A.
,
1982
, “
Computational Stereo
,”
Comput. Surveys
,
14
(
4
), pp.
553
572
.
2.
Dhond
,
U. R.
, and
Aggarwal
,
J. K.
,
1989
, “
Structure from Stereo-A Review
,”
IEEE Trans. Syst. Man Cybern.
,
19
(
6
), pp.
1489
1510
.
3.
Yachida, M., Kitamura, Y. and Kimachi, M., 1986, “Trinocular Vision: New Approach for Correspondence Problem,” Proc. 8th Int. Conf. Pattern Recognition, Paris, France, Oct. 27–31, pp. 1041–1044.
4.
Ohta, Y., Watanabe, M., and Ikeda, K., 1986, “Improving Depth Map by Trinocular Stereo,” Proc. 8th Int. Conf. Pattern Recognition, Paris, France, Oct. 27–31, pp. 519–521.
5.
Peitika¨inen, M., and Harwood, D., 1986, “Depth from Three Camera Stereo,” Proc. IEEE CS Conf. Pattern Recognition, Miami Beach, Fl., June 22–26, pp. 2–8.
6.
Ayache, N., and Lustman, F., 1987, “Fast and Reliable Passive Trinocular Stereo Vision,” Proc. 1st Int. Conf. Comput. Vision, June 8–11, pp. 422–427.
7.
Hansen, C. Ayache, N., and Lustman, F., 1988, “High-Speed Trinocular Stereo for Mobile-Robot Navugation,” Proc. NATO Adv. Res. Workshop Highly Redundant Sensor Systems, IIChiocco, Italy, May 16–20.
8.
Klette, R., SchlUns, K., and Koschan, A., 1988, Computer Vision: Three-Dimension Data from Images, Springer-Verlag Singapore, Pte. Ltd., p. 44.
9.
Atkinson, K. B., 1996, Close Range Photogrammetry and Machine Vision, Published by Whittles Publishing, Scotland, p. 19.
10.
Smith, W. J., 2001, Modern Optical Engineering, 3rd edition, The MacGraw-Hill Companies, Inc., p. 23.
11.
Scott
,
P. J.
,
1977
, “
The Pupil in Perspective
,”
Photogramm. Rec.
,
9
(
49
), pp.
83
92
.
12.
Wenyi
,
D.
,
Naiguang
,
L. U.
,
Jingcheng
,
Z.
,
Shuyi
,
G.
, and
Xuguang
,
Q. U.
,
1998
, “
A Stereo Vision System for Measurement of 3-D Object
,”
SPIE
,
3588
, pp.
248
252
.
13.
Mundy, J. I., and Zisserman, A., 1992, Geometry Invariance in Computer Vision, MIT Press, Cambridge, P. 460.
14.
Zhao, W., and Nandhakumar, N., 1995, “Relative Influence of Camera Alignment Errors on 3-D Stereoscopic Measurement,” Second Asian Conference on Computer Vision, Singapore, 5–8 December.
15.
Zhao
,
W.
, and
Nandhakumar
,
N.
,
1996
, “
Effects of Camera Alignment Errors on Stereoscopic Depth Estimates
,”
Journal of Pattern Recognition
,
pp.
2115
2126
.
16.
Weng
,
J.
,
Cohen
,
P.
, and
Herniou
,
M.
,
1992
, “
Camera Calibration with Distortion Models and Accuracy Evaluation
,”
IEEE Transactions on Pattern Analysis and Machine Intelligence
,,
14
(
10
), pp.
965
980
.
17.
Wei
,
G. Q.
, and
Ma
,
S. D.
,
1994
, “
Implicit and Explicit Calibration: Theory and Experiments
,”
IEEE Trans. Pattern Anal. Mach. Intell.
,
16
(
5
), pp.
469
480
.
18.
Ma
,
S. D.
,
1996
, “
A Self-calibration Technique for Active Vision Systems
,”
IEEE Trans. Rob. Autom.
,
12
(
1
), pp.
114
120
.
19.
Zhang
,
Z.
,
Luong
,
Q. T.
, and
Faugeras
,
O.
,
1996
, “
Motion of an Uncalibrated Stereo Rig: Self-calibration and Metric Reconstruction
,”
IEEE Trans. Rob. Autom.
,
12
(
1
), pp.
103
113
.
20.
Shih
,
S. W.
,
Hung
,
Y. P.
, and
Lin
,
W. S.
,
1998
, “
Calibration of an Active Binocular Head
,”
IEEE Trans. Syst. Man Cybern.
,
28
(
4
), pp.
426
442
.
21.
Christensen
,
H. I.
,
1993
, “
A Low-Cost Robot Camera Head
,”
Int. J. Pattern Recognit. Artif. Intell.
,
7
(
1
), pp.
69
87
.
22.
Tsai
,
R. Y.
,
1987
, “
A Versatile Camera Calibration Technique for High-Accuracy 3-D Machine Vision Metrology using Off-the-Shelf TV Cameras and Lenses
,”
IEEE J. Rob. Autom.
,
RA-3
(
4
), pp.
323
344
.
23.
Asari
,
K. V.
,
Kumar
,
S.
, and
Radhakrishnan
,
D.
,
1999
, “
A New Approach for Nonlinear Distortion Correction in Endoscopic Images Based on Least Squares Estimations
,”
IEEE Trans. Med. Imaging
,
18
(
4
), April, pp.
345
354
.
24.
Laikin, M., 1995, Lens Design, New York, Marcel Dekker, In.
25.
Paul, R. P., 1982, Robot Manipulators-Mathematics, Programming and Control, MIT Press, Cambridge, Mass.
26.
Gonzalez, R. C., and Woods, R. E., 1992, Digital Image Processing, Addision-Wesley Publishing Company.
27.
http://iris.usc.edu/Vision-Notes/bibliography/active665.htm#Zoom lens Calibration.
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