Abstract
This chapter presents distributed algorithms for solving two classical computer vision problems: object localization, i.e., estimation of the 3-D pose of an object from multiple 2-D views; and camera sensor network localization, i.e., estimation of the 3-D camera poses from multiple 2-D views. These problems are posed as generalized consensus problems in the space of rigid-body motions and solved using extensions of classical consensus algorithms to this space. The convergence properties of the proposed algorithms are studied and compared to naïve generalizations of Euclidean consensus, which fail to converge to the correct solution. Experiments on synthetic data evaluate the proposed methods.
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References
Aspnes, J., Whiteley, W., Yang, Y.R.: A theory of network localization. IEEE Trans. Mob. Comput. 5(12), 1663–1678 (2006)
Barton-Sweeney, A., Lymberopoulos, D., Savvides, A.: Sensor localization and camera calibration in distributed camera sensor networks. In: International Conference on Broadband Communications, Networks and Systems, pp. 1–10 (2006)
Devarajan, D., Radke, R.: Calibrating distributed camera networks using belief propagation. EURASIP J. Appl. Signal Process., 221 (2007)
Funiak, S., Guestrin, C., Paskin, M., Sukthankar, R.: Distributed localization of networked cameras. In: International Conference on Information Processing in Sensor Networks, pp. 34–42 (2006)
Hartley, R., Zisserman, A.: Multiple View Geometry in Computer Vision, 2nd edn. Cambridge (2004)
Khan, U.A., Kar, S., Moura, J.M.F.: Distributed sensor localization in random environments using minimal number of anchor nodes. IEEE Trans. Signal Process. 57(5), 2000–2016 (2009)
Ma, Y., Soatto, S., Košecká, J., Sastry, S.: An Invitation to 3D Vision: From Images to Geometric Models. Springer, Berlin (2003)
Manton, J.: A globally convergent numerical algorithm for computing the centre of mass on compact Lie groups. In: International Conference on Automation, Robotics, Control and Vision, vol. 3, pp. 2211–2216 (2004)
Moreau, L.: Stability of multiagent systems with time-dependent communication links. IEEE Trans. Autom. Control 50(2), 169–182 (2005)
Olfati-Saber, R., Fax, J.A., Murray, R.M.: Consensus and cooperation in networked multi-agent systems. IEEE Proc. 95(1), 215–233 (2007)
Olfati-Saber, R., Murray, R.M.: Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans. Autom. Control 49(9), 1520–1533 (2004)
Olshevsky, A., Tsitsiklis, J.N.: Convergence speed in distributed consensus and averaging. SIAM J. Control Optim. 48(1), 33–55 (2007)
Piovan, G., Shames, I., Fidan, B., Bullo, F., Anderson, B.: On frame and orientation localization for relative sensing networks. In: IEEE Conference on Decision and Control, pp. 2326–2331 (2008)
Qureshi, F.Z., Terzopoulos, D.: Surveillance in virtual reality: System design and multi-camera control. In: IEEE Conference on Computer Vision and Pattern Recognition, pp. 1–8 (2007)
Ren, W., Beard, R., Atkins, E.: Information consensus in multivehicle cooperative control: Collective group behavior through local interaction. IEEE Control Syst. Mag. 27(2), 71–82 (2007)
Soto, C., Song, Bi., Roy-Chowdhury, A.K.: Distributed multi-target tracking in a self-configuring camera network. In: IEEE Conference on Computer Vision and Pattern Recognition, pp. 1486–1493 (2009)
Tron, R., Vidal, R.: Distributed image-based 3-D localization in camera sensor networks. In: Conference on Decision and Control (2009)
Tron, R., Vidal, R., Terzis, A.: Distributed pose averaging in camera networks via consensus on SE(3). In: International Conference on Distributed Smart Cameras (2008)
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This work was supported by the grant NSF CNS-0834470.
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Tron, R., Terzis, A., Vidal, R. (2011). Distributed Consensus Algorithms for Image-Based Localization in Camera Sensor Networks. In: Bhanu, B., Ravishankar, C., Roy-Chowdhury, A., Aghajan, H., Terzopoulos, D. (eds) Distributed Video Sensor Networks. Springer, London. https://doi.org/10.1007/978-0-85729-127-1_20
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DOI: https://doi.org/10.1007/978-0-85729-127-1_20
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