Wavelet approximation-based affine invariant shape representation functions

In this paper, new wavelet-based affine invariant functions for shape representation are presented. Unlike the previous representation functions, only the approximation coefficients are used to obtain the proposed functions. One of the derived functions is computed by applying a single wavelet transform; the other function is calculated by applying two different wavelet transforms with two different wavelet families. One drawback of the previously derived detail-based invariant representation functions is that they are sensitive to noise at the finer scale levels, which limits the number of scale levels that can be used. The experimental results in this paper demonstrate that the proposed functions are more stable and less sensitive to noise than the detail-based functions.

[1]  K. M. Tsang.  Recognition of 2D Standalone and Occluded Objects Using Wavelet Transform , 2001, Int. J. Pattern Recognit. Artif. Intell..

[2]  Miroslaw Bober,et al.  MPEG-7 visual shape descriptors , 2001, IEEE Trans. Circuits Syst. Video Technol..

[3]  Sadegh Abbasi,et al.  Affine-similar shape retrieval: application to multiview 3-D object recognition , 2001, IEEE Trans. Image Process..

[4]  Mahmoud I. Khalil,et al.  A Dyadic Wavelet Affine Invariant Function for 2D Shape Recognition , 2001, IEEE Trans. Pattern Anal. Mach. Intell..

[5]  S. Sitharama Iyengar,et al.  Recognition in the wavelet domain: A survey , 2001, J. Electronic Imaging.

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

[7]  Charles K. Chui,et al.  An Introduction to Wavelets , 1992 .

[8]  C.-C. Jay Kuo,et al.  Wavelet descriptor of planar curves: theory and applications , 1996, IEEE Trans. Image Process..

[9]  Mahmoud I. Khalil,et al.  Affine invariants for object recognition using the wavelet transform , 2002, Pattern Recognit. Lett..

[10]  Philip N. Klein,et al.  Recognition of shapes by editing their shock graphs , 2004, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[11]  Wageeh W. Boles,et al.  Complex Daubechies wavelet based affine invariant representation for object recognition , 1994, Proceedings of 1st International Conference on Image Processing.

[12]  Ramanujan S. Kashi,et al.  2-D Shape Representation and Averaging Using Normalized Wavelet Descriptors , 1996, Simul..

[13]  Ronald-Bryan O. Alferez,et al.  Geometric and Illumination Invariants for Object Recognition , 1999, IEEE Trans. Pattern Anal. Mach. Intell..

[14]  Miroslaw Bober,et al.  Curvature Scale Space Representation: Theory, Applications, and MPEG-7 Standardization , 2011, Computational Imaging and Vision.

[15]  T. D. Bui,et al.  Multiresolution moment-wavelet-Fourier descriptor for 2-D pattern recognition , 1997 .

[16]  Euripides G. M. Petrakis,et al.  Matching and Retrieval of Distorted and Occluded Shapes Using Dynamic Programming , 2002, IEEE Trans. Pattern Anal. Mach. Intell..

[17]  Victoria T. Franques,et al.  Wavelet-based rotationally invariant target classification , 1997, Defense, Security, and Sensing.

[18]  Sethuraman Panchanathan,et al.  Illumination invariant image indexing using moments and wavelets , 1998, J. Electronic Imaging.

[19]  H. Damasio,et al.  IEEE Transactions on Pattern Analysis and Machine Intelligence: Special Issue on Perceptual Organization in Computer Vision , 1998 .

[20]  Yixin Chen,et al.  A Region-Based Fuzzy Feature Matching Approach to Content-Based Image Retrieval , 2002, IEEE Trans. Pattern Anal. Mach. Intell..

[21]  Anuj Srivastava,et al.  Analysis of planar shapes using geodesic paths on shape spaces , 2004, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[22]  Ulrich Eckhardt,et al.  Shape descriptors for non-rigid shapes with a single closed contour , 2000, Proceedings IEEE Conference on Computer Vision and Pattern Recognition. CVPR 2000 (Cat. No.PR00662).

[23]  Yuan Yan Tang,et al.  Classification of Similar 2-D Objects by Wavelet-Sparse-Matrix (WSM) Method , 2001, Int. J. Pattern Recognit. Artif. Intell..

[24]  Wageeh Boles,et al.  Object recognition using an affine invariant wavelet representation , 1994, Proceedings of ANZIIS '94 - Australian New Zealnd Intelligent Information Systems Conference.

[25]  Luciano da Fontoura Costa,et al.  Shape Analysis and Classification: Theory and Practice , 2000 .

[26]  Dinggang Shen,et al.  Discriminative wavelet shape descriptors for recognition of 2-D patterns , 1999, Pattern Recognit..

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

[28]  Milan Sonka,et al.  Image Processing, Analysis and Machine Vision , 1993, Springer US.

[29]  Farzin Mokhtarian,et al.  A Theory of Multiscale, Curvature-Based Shape Representation for Planar Curves , 1992, IEEE Trans. Pattern Anal. Mach. Intell..

[30]  A. Enis Çetin,et al.  Computationally efficient wavelet affine invariant functions for shape recognition , 2004, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[31]  M. M. Bayoumi,et al.  Affine invariant object recognition using dyadic wavelet transform , 2000, 2000 Canadian Conference on Electrical and Computer Engineering. Conference Proceedings. Navigating to a New Era (Cat. No.00TH8492).

[32]  Wageeh Boles,et al.  Wavelet-based affine invariant representation: a tool for recognizing planar objects in 3D space , 1997, IEEE Trans. Pattern Anal. Mach. Intell..

[33]  Yuan Yan Tang,et al.  Wavelet Theory and Its Application to Pattern Recognition , 2000, Series in Machine Perception and Artificial Intelligence.

[34]  Wageeh W. Boles,et al.  An application of wavelet-based affine-invariant representation , 1995, Pattern Recognit. Lett..