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Published Articles >> Table of Contents >> Abstract
January 1999 (Vol. 21, No. 1)
pp. 54-57
A Linear Algorithm for Motion From Three Weak Perspective Images Using Euler Angles
Gang Xu
Noriko Sugimoto
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DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/34.745734
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| Abstract |
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In this paper, we describe a new simple linear algorithm for motion and structure from three weak perspective projections using Euler angles. We first determine the epipolar equation between each pair of images, which determines the first and third Euler angles for the rotation between that pair of images, leaving only the second Euler angle undetermined. In the next step, combining the three rotations results in a very simple linear algorithm to determine the second Euler angles, up to a Necker reversal. Experimental results on synthetic and real images are presented. The degenerate cases are discussed. The program can be ftped from http://www.cv.cs.ritsumei.ac.jp/noriko/motion.html.
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 References
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[1] O.D. Faugeras, Three-Dimensional Computer Vision: A Geometric Viewpoint.Cambridge, Mass.: MIT Press, 1993.
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[3] J. Ostuni and S. Dunn, "Motion From Three Weak Perspective Images Using Image Rotation," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 18, no. 1, pp. 64-69, Jan. 1996.
[4] L.S. Shaprio, A. Zisserman, and M. Brady, "3D Motion Recovery Via Affine Epipolar Geometry," Int'l J. Computer Vision, vol. 16, pp. 147-182, 1995.
[5] C. Tomasi and T. Kanade, "Shape and Motion From Image Streams Under Orthography: A Factorization Method," Int'l J. Computer Vision, vol. 9, no. 2, pp. 137-154, 1992.
[6] P.H.S. Torr and D.W. Murray, "Statistical Detection of Independent Movement From a Moving Camera," Proc. British Machine Vision Conf., pp. 79-88,Leeds, UK, Sept. 1992.
[7] S. Ullman, The Interpretation of Visual Motion.Cambridge, Mass.: MIT Press, 1979.
[8] G. Xu and Z. Zhang, Epipolar Geometry in Stereo, Motion, and Object Recognition: A Unified Approach. Kluwer Academic Publishers, 1996.
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 Additional Information
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Index Terms- Motion, structure, rotation matrix, Euler angles, epipolar equation, weak perspective projection.
Citation:
Gang Xu, Noriko Sugimoto,
"A Linear Algorithm for Motion From Three Weak Perspective Images Using Euler Angles,"
IEEE Transactions on Pattern Analysis and Machine Intelligence,
vol. 21,
no. 1,
pp. 54-57,
Jan.,
1999
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