Invariant 2D object recognition using the wavelet modulus maxima

Abstract In this paper, a technique is proposed to recognize 2D objects under translation, rotation, and scale transformations. The technique is based on the continuous wavelet transform and neural networks. Experimental results are presented and compared with some traditional methods. The experimental results showed that this refined technique was successful in classifying the objects under consideration and that it outperformed those traditional methods especially in the presence of noise.

[1]  Irvin Rock,et al.  Orientation and form , 1974 .

[2]  F. Bookstein,et al.  The Measurement of Biological Shape and Shape Change. , 1980 .

[3]  Christophe Ducottet,et al.  Application of multiscale characterization of edges to motion determination , 1998, IEEE Trans. Signal Process..

[4]  Herbert Freeman,et al.  Shape description via the use of critical points , 1978, Pattern Recognit..

[5]  Richard P. Lippmann,et al.  An introduction to computing with neural nets , 1987 .

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

[7]  Theodosios Pavlidis,et al.  Algorithms for Shape Analysis of Contours and Waveforms , 1980, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[8]  John F. Canny,et al.  A Computational Approach to Edge Detection , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[9]  Theodosios Pavlidis,et al.  A review of algorithms for shape analysis , 1978 .

[10]  Mahmoud I. Khalil,et al.  Invariant 2D object recognition using the wavelet transform and structured neural networks , 1999, Defense, Security, and Sensing.

[11]  Anil K. Jain,et al.  Performance evaluation of shape matching via chord length distribution , 1984, Comput. Vis. Graph. Image Process..

[12]  Christophe Ducottet,et al.  Robustness of a multiscale scheme of feature points detection , 2000, Pattern Recognit..

[13]  James L. McClelland,et al.  Parallel distributed processing: explorations in the microstructure of cognition, vol. 1: foundations , 1986 .

[14]  Stéphane Mallat,et al.  Wavelets for a vision , 1996, Proc. IEEE.

[15]  Richard J. Prokop,et al.  A survey of moment-based techniques for unoccluded object representation and recognition , 1992, CVGIP Graph. Model. Image Process..

[16]  Jean-Pierre Antoine,et al.  Shape characterization with the wavelet transform , 1997, Signal Process..

[17]  George Papadourakis,et al.  Object recognition using invariant object boundary representations and neural network models , 1992, Pattern Recognit..

[18]  Ralph Roskies,et al.  Fourier Descriptors for Plane Closed Curves , 1972, IEEE Transactions on Computers.

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

[20]  Matti Pietikäinen,et al.  An Experimental Comparison of Autoregressive and Fourier-Based Descriptors in 2D Shape Classification , 1995, IEEE Trans. Pattern Anal. Mach. Intell..

[21]  S. Mallat A wavelet tour of signal processing , 1998 .

[22]  Richard O. Duda,et al.  Pattern classification and scene analysis , 1974, A Wiley-Interscience publication.

[23]  O. Rioul,et al.  Wavelets and signal processing , 1991, IEEE Signal Processing Magazine.

[24]  Stéphane Mallat,et al.  Characterization of Signals from Multiscale Edges , 2011, IEEE Trans. Pattern Anal. Mach. Intell..

[25]  Wageeh Boles,et al.  Recognition of 2D object contours using the wavelet transform zero-crossing representation , 1997, IEEE Trans. Pattern Anal. Mach. Intell..