Contour sequence moments for the classification of closed planar shapes

摘要

A technique for classifying closed planar shapes is described in which a shape is characterized by a one-dimensional sequence that represents the Euclidean distance between the centroid and all contour pixels of the shape. Contour sequences obtained from shapes belonging to the same class are similar and are considered to be different realizations of a stochastic process. Statistical moment functions derived from contour sequences are used to characterize the process and hence the shapes. It is shown that these moment functions are invariant to shape translation, rotation and scale transformations. Examples are presented to illustrate the performance of these moment functions in the classification of noisy shapes.