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Outward-Looking Circular Motion Analysis of Large Image Sequences
February 2005 (vol. 27 no. 2)
pp. 271-277
This paper presents a novel and simple method of analyzing the motion of a large image sequence captured by a calibrated outward-looking video camera moving on a circular trajectory for large-scale environment applications. Previous circular motion algorithms mainly focus on inward-looking turntable-like setups. They are not suitable for outward-looking motion where the conic trajectory of corresponding points degenerates to straight lines. The circular motion of a calibrated camera essentially has only one unknown rotation angle for each frame. The motion recovery for the entire sequence computes only one fundamental matrix of a pair of frames to extract the angular motion of the pair using Laguerre's formula and then propagates the computation of the unknown rotation angles to the other frames by tracking one point over at least three frames. Finally, a maximum-likelihood estimation is developed for the optimization of the whole sequence. Extensive experiments demonstrate the validity of the method and the feasibility of the application in image-based rendering.

[1] M. Armstrong, A. Zisserman, and R. Hartley, “Self-Calibration from Image Triplets,” Proc. Fourth European Conf. Computer Vision, vol. 1064, pp. 3-16, Apr. 1996.
[2] J.X. Chai, S.B. Kang, and H.Y. Shum, “Rendering with Non-Uniform Concentric Mosaics,” Proc. SMILE Workshop Structure from Multiple Images in Large Scale Environments, 2000.
[3] O. Faugeras, “Stratification of Three-Dimensional Vision: Projective, Affine and Metric Representations,” J. Optical Soc. Am., vol. 12, pp. 465-484, 1995.
[4] O. Faugeras, L. Quan, and P. Sturm, “Self-Calibration of a 1D Projective Camera and Its Application to the Self-Calibration of a 2D Projective Camera,” Proc. Fifth European Conf. Computer Vision, pp. 36-52, June 1998.
[5] O.D. Faugeras and Q.T. Luong, Geometry of Multiple Images. MIT Press, 2001.
[6] A.W. Fitzgibbon, G. Cross, and A. Zisserman, “Automatic 3D Model Construction for Turn-Table Sequences,” Proc. SMILE Workshop Structure from Multiple Images in Large Scale Environments, pp. 154-169, 1998.
[7] S.J. Gortler, R. Grzeszczuk, R. Szeliski, and M. Cohen, “The Lumigraph,” Proc. SIGGRAPH, pp. 43-54, 1996.
[8] R.I. Hartley and A. Zisserman, Multiple View Geometry in Computer Vision. Cambridge Univ. Press, June 2000.
[9] G. Jiang, L. Quan, and H. Tsui, “Circular Motion Geometry by Minimal 2 Points in 4 Images,” Proc. Ninth Int'l Conf. Computer Vision, pp. 221-227, 2003.
[10] G. Jiang, H. Tsui, L. Quan, and A. Zisserman, “Single Axis Geometry by Fitting Conics,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 25, no. 10, pp. 1343-1348, Oct. 2003.
[11] G. Jiang, Y. Wei, H. Tsui, and L. Quan, “Construction and Rendering of Concentric Mosaics from a Handheld Camera,” Proc. Asian Conf. Computer Vision, 2004.
[12] M. Levoy and P. Hanrahan, “Light Field Rendering,” Proc. SIGGRAPH, pp. 31-42, 1996.
[13] D. Liebowitz and A. Zisserman, “Metric Rectification for Perspective Images of Planes,” Proc. Conf. Computer Vision and Pattern Recognition, 1998.
[14] Q.T. Luong and O. Faugeras, “The Fundamental Matrix: Theory, Algorithms and Stability Analysis,” Int'l J. Computer Vision, vol. 17, no. 1, pp. 43-76, 1996.
[15] L. McMillan and G. Bishop, “ Plenoptic Modeling: An Image-Based Rendering System,” Proc. SIGGRAPH, pp. 39-46, 1995.
[16] P.R.S. Mendonca, K.Y.K. Wong, and R. Cipolla, “Camera Pose Estimation and Reconstruction from Image Profiles under Circular Motion,” Proc. Sixth European Conf. Computer Vision, vol. II, pp. 864-877, 2000.
[17] P.R.S. Mendonca, K.Y.K. Wong, and R. Cipolla, “Epipolar Geometry from Profiles under Circular Motion,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 23, no. 6, pp. 604-616, June 2001.
[18] S. Peleg and M.B. Ezra, “Stereo Panorama with a Single Camera,” Proc. Conf. Computer Vision and Pattern Recognition, 1999.
[19] S. Peleg and J. Herman, “Panoramic Mosaics by Manifold Projection,” Proc. Conf. Computer Vision and Pattern Recognition, pp. 338-343, 1997.
[20] J.G. Semple and G.T. Kneebone, Algebraic Projective Geometry. 1952.
[21] J. Shi and C. Tomasi, “Good Features to Track,” Proc. Conf. Computer Vision and Pattern Recognition, pp. 593-600, 1994.
[22] H.Y. Shum and L.W. He, “Rendering with Concentric Mosaics,” Proc. SIGGRAPH, pp. 299-306, 1999.
[23] P. Sturm and S.J. Maybank, “On Plane-Based Camera Calibration,” Proc. Conf. on Computer Vision and Pattern Recognition, 1999.
[24] C. Tomasi and T. Kanade, “Detection and Tracking of Point Features,” Technical report CMU-CS-91-132, Carnegie Mellon Univ., 1991.
[25] Z. Zhang, “Determining the Epipolar Geometry and Its Uncertainty: A Review,” Int'l J. Computer Vision, vol. 27, no. 2, pp. 161-195, Mar. 1998.
[26] Z. Zhang, “Flexible Camera Calibration by Viewing a Plane from Unknown Orientations,” Proc. Seventh Int'1 Conf. Computer Vision, Sept. 1999.

Index Terms:
Structure from motion, circular motion, single axis motion, concentric mosaic.
Citation:
Guang Jiang, Yichen Wei, Long Quan, Hung-tat Tsui, Heung Yeung Shum, "Outward-Looking Circular Motion Analysis of Large Image Sequences," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 27, no. 2, pp. 271-277, Feb. 2005, doi:10.1109/TPAMI.2005.34
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