Abstract
The Fourier descriptor method is a well-known method of describing the shape of a closed figure. Previous work with Fourier descriptors has suffered from either a loss of shape information, or excessive computation time in comparing an unknown contour to a known one. This paper presents a technique for normalizing Fourier descriptors which retains all shape information, and is computationally efficient. In recognizing three-dimensional objects, most of the computation time is typically spent in computing distances between an unknown feature vector and a library of feature vectors representing the objects of interest. An interpolation property of Fourier descriptors is described which permits a substantial reduction in the density of projections representing a three-dimensional object. These results are combined with certain others relating to accurate contour representation in a complete three-dimensional aircraft recognition algorithm.
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