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Positioning Quadric Surfaces in all Active Stereo Imaging System
May 1991 (vol. 13 no. 5)
pp. 491-495

The location of surfaces using stereo imaging techniques is an important area of research for robot guidance and machine inspection applications, The underlying geometry of finite focal length stereo pinhole cameras is investigated. This is the model used in both active and passive stereo imaging systems. It is shown that the points of intersecting views from the pinhole models result in conic sections. This information is used to locate quadric surfaces in the inspection space. When the projected fringe pattern is encoded to a quadric surface, the underlying intersection mapping can be used to estimate the position of the surface. Subsets of most smooth objects can be fitted to a conic section. For inspection of smooth surfaces with projection moire techniques, this fringe interpretation method would allow for correct placement of the object.

[1] C.A. Sciammarella, "The moirémethod--A review,"Exp. Mechan., vol. 22, p. 418, 1982.
[2] K.G. Harding and R. Tait, "Moirétechniques applied to automated inspection of machined parts," inProc. Conf. Vision '86, Detroit, MI, 1986, pp. 2-17.
[3] M. Michalski, H. J. Rabal, and M. J. Gatavaglia, "Operations using fringe projections,"Appl. Opt., vol. 25, no. 23, p. 4338, 1986.
[4] J.H. Nurre, "Flaw detection of modeled surfaces," inProc. SPIE Advances in Intelligent Robotics Systems, vol. 1004, p. 48, 1988.
[5] A. W. Lohmann and L. Po-Shiang, "Computer generated moiré,"Opt. Commun., vol. 34, no. 2, p. 167, 1980.
[6] T. Yatagai and M. Idesawa, "Use of synthetic gratings in moirétopography,"Opt. Commun., vol. 20, no. 2, p. 243, 1977.
[7] J.C. Perrin and A. Thomas, "Electronic processing of moiréfringes: Application to moirétopography and comparison with photogrammetry,"Appl. Opt., vol. 18, no. 4, p. 563, 1979.
[8] E. L. Hall,Computer Image Processing and Recognition. New York: Academic, 1979, ch. 3.
[9] L. Pirodda, "Shadow and projection moirétechniques for absolute or relative mapping of surface shapes,"Opt. Eng., vol. 21, no. 4, p. 640, 1982.

Index Terms:
quadric surface location; encoding; moire fringes; pattern recognition; machine vision; active stereo imaging system; stereo pinhole cameras; projected fringe pattern; fringe interpretation; encoding; moire fringes; pattern recognition; picture processing
J.H. Nurre, E.L. Hall, "Positioning Quadric Surfaces in all Active Stereo Imaging System," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 13, no. 5, pp. 491-495, May 1991, doi:10.1109/34.134048
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