nagnitude
ined as a
One can
intensity
irameters
ling to a
d motion
frame is
otational
lustrated
indicate
. and T,
em. [he
e motion
fusion of
1995
335
Table 3: Estimated motion parameters with range information only.
Parameters | 1 > 2 | 2>3 |3=—4 | 4=5 | 5=6
-0.11 | -0.12 0.93 0.84 0.36
3.39 3.69 273 7.35 10.25
2.16 1.26 11.69 20.52 18.45
-0.21 0.45 0.57 10.62 9.79
-0.12 -0.3 -0.23 -0.39 -0.51
-0.18 0.09 0.38 0.87 0.21
10 10 36 30 26
2 REPENS
6. CONCLUSION
This paper described a method capable of estimating 3-D motion parameters from a sequence of range and intensity
images without having to solve the traditional correspondence problem between successive images. Furthermore, it
was demonstrated that by using a sequence of intensity images in addition to range images, one can impove the
speed and the accuracy of motion parameter estimation. This method has at least two advantage: range images
enable one to interpret more complicated motions since they represent the real 3-D shape; and, even though multiple
features can be seen in one image, that does not always mean that one can see them in another due to occlusion.
The present method does not suffer from this particular limitation, since it is not based on an image feature matching
procedure.
ACKNOWLEDGEMENTS
The authors would like to thank Luc Cournoyer for the range image acquisitions. This work also benefited from
discussions with Guy Godin, Marc Rioux, and Francois Blais.
REFERENCES
[1] M.Asada and S.Tsuji. Utilization of stripe pattern for dynamic scene analysis. In Proc. 9th International Joint
Conf. on Artificial Intelligence, pp. 895-897, 1985.
[2] D.H.Ballard and O.A.Kimball. Rigid body motion from depth and optical flow. Computer, Vision Graphics and
Image Processing, vol. 22, pp. 95-115, 1983.
[3] J.A. Beraldin, F.Blais, M. Rioux, J. Domey, and L. Cournoyer. A video rate laser range camera for electronic
boards inspection. Proceeding of Vision 90, Detroit, MI, Nov., pp. 12-15, 1990.
[4] J.A. Beraldin, F. Blais, M. Rioux, J. Domey and L. Cournoyer,Registered Range and Intensity at 10-Mega
Samples per Second. Opt. Eng., Vol. 3, No. 1, pp. 88-94, 1992.
[5] P.J. Besl and N.D. McKay. A method for registration of 3-D shapes. /EEE Trans. on Pattern Analysis and
Machine Intelligence, Vol. PAMI-14, No. 2, pp. 239-256, 1992.
[6] P. Boulanger. Multiscale Edge Detection Based on a New Geometrically Intrinsic Filter. Proc. of Videometrics
IIl (BOSTON), SPIE, Vol. 2350, pp. 264-278, 1994.
[7] C. Cafforio and F. Rocca. Methods for measuring small displacements of television images. /EEE Trans. on
Information Theory, Vol. IT-22, No. 5, pp. 573-579, 1976.
[8] S. Chen and M. Penna. Shape and motion of nonrigid bodies. Computer Vision, Graphics, and Image Processing,
Vol. 36, pp. 175-207, 1986.
[9] G. Godin, M. Rioux, and R. Baribeau. Three-dimensional registration using range and intensity information.
Proc. of Videometrics Ill (BOSTON), SPIE, Vol. 2350, pp. 279-290, 1994.
[10] B.K.P. Horn and E.J. Weldon Jr. Direct methods for recovering motion. International Journal of Computer
Vision, Vol. 2, pp. 51-76, 1988.
IAPRS, Vol. 30, Part 5W1, ISPRS Intercommission Workshop “From Pixels to Sequences”, Zurich, March 22-24 1995