Pattern recognition by affine moment invariants

Abstract The paper deals with moment invariants, which are invariant under general affine transformation and may be used for recognition of affine-deformed objects. Our approach is based on the theory of algebraic invariants. The invariants from second- and third-order moments are derived and shown to be complete. The paper is a significant extension and generalization of recent works. Several numerical experiments dealing with pattern recognition by means of the affine moment invariants as the features are described.

[1]  Rama Chellappa,et al.  Classification of Partial 2-D Shapes Using Fourier Descriptors , 1987, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[2]  Jun Shen,et al.  Fast computation of moment invariants , 1991, Pattern Recognit..

[3]  Maher A. Sid-Ahmed,et al.  Machine recognition of optically captured machine printed arabic text , 1990, Pattern Recognit..

[4]  I. Schur,et al.  Vorlesungen über Invariantentheorie , 1968 .

[5]  S. Maitra Moment invariants , 1979, Proceedings of the IEEE.

[6]  R. Wong,et al.  Scene matching with invariant moments , 1978 .

[7]  Horst Bunke,et al.  Simple and fast computation of moments , 1991, Pattern Recognit..

[8]  Nahum Kiryati Calculating geometric properties of objects represented by Fourier coefficients , 1988, Proceedings CVPR '88: The Computer Society Conference on Computer Vision and Pattern Recognition.

[9]  Robert B. McGhee,et al.  Aircraft Identification by Moment Invariants , 1977, IEEE Transactions on Computers.

[10]  Ming-Kuei Hu,et al.  Visual pattern recognition by moment invariants , 1962, IRE Trans. Inf. Theory.

[11]  Zi-Quan Hong,et al.  Algebraic feature extraction of image for recognition , 1991, Pattern Recognit..