Issue No.05 - May (1982 vol.4)
Layne T. Watson , 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 .
Layne T. Watson, "Identification of Space Curves from Two-Dimensional Perspective Views", IEEE Transactions on Pattern Analysis & Machine Intelligence, vol.4, no. 5, pp. 469-475, May 1982, doi:10.1109/TPAMI.1982.4767290