By attaching a refractor to the lens of a Video Capture Device (e.g., CCD Video Camera) it is possible to record optical displacements from the original position of any object (tracer particle) within the image plane. If the refractor is physically rotated around the optical axis at high speed, the tracer particles create annular streaks due to the effect caused by the refractor’s circular shift. The perceived displacements are added to the image being recorded by the Video Capture Device (VCD). Additionally, these displacements are directly related to the distance between the VCD and the particle being measured: the magnitude of displacement on the image plane being inversely proportional to the distance between the VCD and point of measurement. Since the radius of each annular streak, of a point being measured, is inversely proportional to its distance from the VCD, it is therefore possible by analyzing these annular streaks, to determine the three dimensional positional information of the point. Thus the radius of the annular streaks on the image plane determines the z coordinate, while the geometric center provides the x and y coordinates. The theory and setup of such a measuring system is subsequently presented, and the measurement of a moving surface, such as moving water, is used to demonstrate a typical application of such a system.

1.
Davies, E. R., 1990, Machine Vision: Theory, Algorithms, Practicalities, Academic Press, San Diego, CA.
2.
Torras, C., 1992, Computer Vision: Theory and Industrial Applications, Springer-Verlag.
3.
Wu
,
M. F.
, and
Sheu
,
H.-T.
,
1998
, “
Representation of 3D Surface by Two-Variable Fourier Descriptors
,”
IEEE Trans. Pattern Anal. Mach. Intell.
,
20
(
8
), pp.
858
863
.
4.
McCallum, B. C., Fright, W. R., Nixon, M. A., and Price, N. B., 1996, “A Feasibility Study of Hand-Held Laser Surface Scanning,” Proceedings of Image and Vision Computing New Zealand, Lower Hutt, pp. 103–108.
5.
Zhang
,
X.
, and
Cox
,
C. S.
,
1994
, “
Measuring the Two-Dimensional Structure of a Wavy Water Surface Optically: A Surface Gradient Detector
,”
Exp. Fluids
,
17
, pp.
225
237
.
6.
Zhang
,
X.
,
Dabiri
,
D.
, and
Gharib
,
M.
,
1996
, “
Optical Mapping of Fluid Density Interface: Concepts and Implementations
,”
Rev. Sci. Instrum.
,
67
(
5
), pp.
1858
1868
.
7.
Zhang
,
X.
,
1996
, “
An Algorithm for Calculating Water Surface Elevations From Surface Gradient Image Data
,”
Exp. Fluids
,
21
, pp.
43
48
.
8.
Dabiri
,
D.
, and
Gharib
,
M.
,
2001
, “
Simultaneous Free-Surface Deformation and Near-Surface Velocity Measurements
,”
Exp. Fluids
,
30
, pp.
381
390
.
9.
Rioux
,
M.
, and
Blais
,
F.
,
1986
, “
Compact Three-Dimensional Camera for Robotic Applications
,”
J. Opt. Soc. Am. A
,
3
(
9
), pp.
1518
1521
.
10.
Willert
,
C. E.
, and
Gharib
,
M.
,
1992
, “
Three-Dimensional Particle Imaging With a Single Camera
,”
Exp. Fluids
,
12
, pp.
353
358
.
11.
Kawasue
,
K.
, and
Ishimatsu
,
T.
,
1997
, “
3-D Measurement of Moving Particles by Circular Image Shifting
,”
IEEE Trans. Ind. Electron.
,
44
(
5
), pp.
703
706
.
12.
Kawasue, K., Shiku, O., and Ishimatsu, T., 1998, “Range Finder Using Circular Dynamic Stereo,” Proceedings of International Conference of Pattern Recognition, pp. 774–776.
13.
Kawasue, K., 1998, “Position and Motion Measurement Using Circular Dynamic Stereo,” Proceedings of International Conference on Control, Automation, Robotics and Vision, pp. 1583–1587.
14.
Kawasue, K., Ishimatsu, T., and Shih, C., 1994, “Fast Processing Technique of Particle Image Velocimetry,” FLUCOME ’94, pp. 209–214.
You do not currently have access to this content.