Identification of Space Curves from Two-Dimensional Perspective Views

Watson, Layne T. and Shapiro, Linda G. (1980) Identification of Space Curves from Two-Dimensional Perspective Views. Technical Report CS80004-R, Computer Science, Virginia Tech.

Abstract

This paper describes a new method to be used in the recognition of three-dimensional objects with curved surfaces from two-dimensional perspective views. The method requires for each three-dimensinal 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].