Curve recognition using B-spline representation

Abstract

The B-spline stands as one of the most efficient curve (surface) representation, and possesses very attractive properties such as spatial uniqueness, boundedness and continuity, local shape controllability, and invariance to affine transformations. These properties made them very attractive for curve representation in computer aided design and computer graphics. Very little work, however, has been devoted to them for recognition purpose. One possible reason might be due to the fact that the B-spline curve is not uniquely described by a single set of control points, which make the curve matching (recognition) process not a simple comparison between the respective parameters of the curves to be matched. The paper is an attempt to find matching solutions despite this limitation and addresses the problems of invariant matching and classification of 2D closed curves with application in identification of aircraft types based on image silhouettes, and writer-identification based on hand written text.