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3-D Position Sensing Using a Passive Monocular Vision System
August 1991 (vol. 13 no. 8)
pp. 809-813

Passive monocular 3-D position sensing is made possible by a new calibration scheme that relates depth to focus blur through a composite lens and aperture model. The calibration technique enables the recovery of absolute 3-D position coordinates from image coordinates and measured focus blur. A geometric model of the camera's position and orientation in space is used to transform the camera's imaging coordinates into world coordinates. The relationship between the world coordinate system and the screen coordinate system which includes the amount of focus blur, is developed by modeling the camera imaging arrangement. The modeling proceeds first through the perspective view from a pinhole camera located anywhere in space. The camera's lens and aperture system is investigated to find the relationship between depth and focus blur. The aspect ratio of the frame image is considered. Position accuracies comparable to those in stereo based vision systems are possible without the need for solving the difficult point of correspondence problem.

[1] A. P. Pentland, "A new sense for depth of field,"IEEE Trans. Patt. Anal. Machine Intell., vol. PAMI-9, no. 4, pp. 523-531, July 1987.
[2] M. Subbarao, "Parallel depth recovery by changing camera parameters," inProc. 2nd Int. Conf. Comput. Vision(Tampa, FL), Dec. 1988, pp. 149-155.
[3] S. F. Ray,The Lens in Action. New York: Hastings, 1976.
[4] J. Cardillo, "3-D robot vision metrology and camera calibration from focus information," Master's thesis, Univ. Windsor, Windsor, Canada, 1988.
[5] M. Born and E. Wolf,Principles of Optics. London: Pergamon, 1965.
[6] D. W. Marquardt, "An algorithm for least-squares estimation of non-linear parameters,"J. Soc. Ind. Appl. Math., vol. 11, no. 2, pp. 431-441, June 1963.
[7] Y. C. Kim and J. K. Aggarwal, "Positioning three dimensional objects using stereo images,"IEEE J. Robotics Automat., vol. RA-3, no. 6, pp. 361-373, Aug. 1987.

Index Terms:
computer vision; 3-D position sensing; passive monocular vision system; focus blur; composite lens; aperture model; calibration; geometric model; perspective view; pinhole camera; calibration; cameras; computer vision; position measurement
J. Cardillo, M.A. Sid-Ahmed, "3-D Position Sensing Using a Passive Monocular Vision System," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 13, no. 8, pp. 809-813, Aug. 1991, doi:10.1109/34.85671
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