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Invariant Object Recognition Using Radon and Fourier Transforms

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Book cover Advances in Neural Networks – ISNN 2013 (ISNN 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7951))

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Abstract

In this paper, an invariant algorithm for object recognition is proposed by using the Radon and Fourier transforms. It has been shown that this algorithm is invariant to the translation and rotation of pattern images. The scaling invariance can be achieved by the standard normalization techniques. Our algorithm works even when the center of the pattern object is not aligned well. This advantage is because the Fourier spectra are invariant to spatial shift in the radial direction whereas existing methods assume the centroids are aligned exactly. Experimental results show that the proposed method is better than the Zernike’s moments, the dual-tree complex wavelet (DTCWT) moments, and the auto-correlation wavelet moments for one aircraft database and one shape database.

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References

  1. Prokop, R.J., Reeves, A.P.: A survey of moments-based techniques for unoccluded object representation and recognition. CVGIP: Graphical Models Image Processing 54(5), 438–460 (1992)

    Article  Google Scholar 

  2. Hu, M.K.: Visual pattern recognition by moment invariants. IRE Transactions on Information Theory 8, 179–187 (1962)

    MATH  Google Scholar 

  3. Khotanzad, A., Hong, Y.H.: Invariant image recognition by Zernike moments. IEEE Transactions on Pattern Analysis and Machine Intelligence 12(5), 489–497 (1990)

    Article  Google Scholar 

  4. Chen, G.Y., Xie, W.F.: Wavelet-based moment invariants for pattern recognition. Optical Engineering 50(7), 077205 (2011)

    Article  Google Scholar 

  5. Chen, G.Y., Bhattacharya, P.: Invariant pattern recognition using ridgelet packets and the Fourier transform. International Journal of Wavelets, Multiresolution and Information Processing 7(2), 215–228 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  6. Hassanieh, H., Indyk, P., Katabi, D., Price, E.: Simple and Practical Algorithm for Sparse Fourier Transform. In: SODA (January 2012)

    Google Scholar 

  7. Hassanieh, H., Indyk, P., Katabi, D., Price, E.: Nearly Optimal Sparse Fourier Transform. In: STOC (May 2012)

    Google Scholar 

  8. Wang, X., Xiao, B., Ma, J.F., Bi, X.L.: Scaling and rotation invariant analysis approach to object recognition based on Radon and Fourier-Mellin transforms. Pattern Recognition 40, 3503–3508 (2007)

    Article  MATH  Google Scholar 

  9. Sebastian, T.B., Klein, P.N., Kimia, B.B.: Recognition of Shapes by Editing Shock Graphs. In: International Conference on Computer Vision, ICCV (2001)

    Google Scholar 

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Chen, G., Bui, T.D., Krzyzak, A., Zhao, Y. (2013). Invariant Object Recognition Using Radon and Fourier Transforms. In: Guo, C., Hou, ZG., Zeng, Z. (eds) Advances in Neural Networks – ISNN 2013. ISNN 2013. Lecture Notes in Computer Science, vol 7951. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39065-4_78

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  • DOI: https://doi.org/10.1007/978-3-642-39065-4_78

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39064-7

  • Online ISBN: 978-3-642-39065-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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