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Identification of Space Curves from Two-Dimensional Perspective Views
May 1982 (vol. 4 no. 5)
pp. 469-475
Layne T. Watson, Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061.
Linda G. Shapiro, SENIOR MEMBER, IEEE, Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061.
This paper describes a new method to be used for matching three-dimensional objects with curved surfaces to two-dimensional perspective views. The method requires for each three-dimensional object a stored model consisting of a closed space curve representing some characteristic connected curved edges of the object. The input is a two-dimensional perspective projection of one of the stored models represented by an ordered sequence of points. The input is converted to a spline representation which is sampled at equal intervals to derive a curvature function. The Fourier transform of the curvature function is used to represent the shape. The actual matching is reduced to a minimization problem which is handled by the Levenberg-Marquardt algorithm [3].
Citation:
Layne T. Watson, Linda G. Shapiro, "Identification of Space Curves from Two-Dimensional Perspective Views," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 4, no. 5, pp. 469-475, May 1982, doi:10.1109/TPAMI.1982.4767290
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