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Rotational-Invariant Texture Analysis Using Radon and Polar Complex Exponential Transform

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 327))

Abstract

Rotational invariant texture analysis technique using Radon and PCET is proposed in this stab. Rotation invariance is achieved within the Radon space. Translation invariance is achieved by normalization of moment of PCET. A k- nearest neighbor classifier is employed for classifying the texture. To test and evaluate the proposed method several sets of texture was evaluated. The evaluation is achieved with different scaling, translation and rotation under different noisy conditions. Correct classification percentage is calculated for various noise conditions. Experimental result shows pre-eminence of the employed method as compared to the recent invariant texture analysis methods.

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References

  1. Al-Shaykh, O.K., Doherty, J.F.: Invariant image analysis based on Radon transform and SVD. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 43(2), 123–133 (1996)

    Article  Google Scholar 

  2. Jianguo, Z., Tan, T.: Brief review of invariant texture analysis methods. Pattern Recognition 35(3), 735–747 (2002)

    Article  MATH  Google Scholar 

  3. Alireza, K., 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. Dai, X., Liu, T., Shu, H., Luo, L.: Pseudo-zernike moment invariants to blur degradation and their use in image recognition. In: Yang, J., Fang, F., Sun, C. (eds.) IScIDE 2012. LNCS, vol. 7751, pp. 90–97. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  5. Bin, X., Wang, G.-Y.: Generic radial orthogonal moment invariants for invariant image recognition. Journal of Visual Communication and Image Representation 24(7), 1002–1008 (2013)

    Article  Google Scholar 

  6. Yajun, L.: Reforming the theory of invariant moments for pattern recognition. Pattern Recognition 25(7), 723–730 (1992)

    Article  Google Scholar 

  7. Pew-Thian, Y., Jiang, X., Kot, A.C.: Two-dimensional polar harmonic transforms for invariant image representation. IEEE Transactions on Pattern Analysis and Machine Intelligence 32(7), 1259–1270 (2010)

    Article  Google Scholar 

  8. Li, L., et al.: Geometrically invariant image watermarking using Polar Harmonic Transforms. Information Sciences 199, 1–19 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  9. Easton, R.L.: The Radon Transform. Fourier Methods in Imaging, 371–420 (2010)

    Google Scholar 

  10. Noll, R.J.: Zernike polynomials and atmospheric turbulence. JOsA 66(3), 207–211 (1976)

    Article  Google Scholar 

  11. Chong, C.-W., Raveendran, P., Mukundan, R.: The scale invariants of pseudo-Zernike moments. Pattern Analysis & Applications 6(3), 176–184 (2003)

    Article  MathSciNet  Google Scholar 

  12. Hongqing, Z., et al.: Combined invariants to blur and rotation using Zernike moment descriptors. Pattern Analysis and Applications 13(3), 309–319 (2010)

    Article  MathSciNet  Google Scholar 

  13. Kourosh, J.-K., Soltanian-Zadeh, H.: Rotation-invariant multiresolution texture analysis using Radon and wavelet transforms. IEEE Transactions on Image Processing 14(6), 783–795 (2005)

    Article  MathSciNet  Google Scholar 

  14. Henley, W.E., Hand, D.J.: A k-nearest-neighbour classifier for assessing consumer credit risk. The Statistician, 77–95 (1996)

    Google Scholar 

  15. Brodatz, P.T.: A Photographic Album for Artists and Designers. Dover, New York (1966)

    Google Scholar 

  16. Vikrant, B., Rishendra, V., Rini, M.: A Non-Linear Approach to ECG Signal Processing using Morphological Filters. International Journal of Measurement Technologies & Instrumentation Engineering 3(3), 46–59 (2013), doi:10.4018/ijmtie.2013070104

    Article  Google Scholar 

  17. Vikrant, B., Mukul, M., Urooj, S.: A Robust Polynomial Filtering Framework for Mammographic Image Enhancement from Biomedical Sensors. IEEE Sensors Journal 13(11) (November 2013), doi:10.1109/JSEN.2013.2279003

    Google Scholar 

  18. Verma, K., Urooj, S., Rituvijay: Effective evaluation of tumour region in brain MR images using hybrid segmentation. In: IEEE International Conference on Computing for Sustainable Global Development INDIACom 2014, March 5-7, IEEE, BVICAM New Delhi (2014), doi:10.1109/IndiaCom.2014.6828024

    Google Scholar 

  19. Vikrant, B., Urooj, S., Mishra, M., Pandey, A., Ekuakille, A.L.: A Polynomial Filtering Model for Enhancement of Mammogram Lesions. In: IEEE International Symposium on Medical Measurements and Its Applications MeMeA 2013, pp. 97–100 (2013), doi:10.1109/MeMeA.2013.6549714

    Google Scholar 

  20. Vikrant, B., Urooj, S., Ekuakille, A.L.: Improvement of Masses Detection in Digital Mammograms employing Non-Linear Filtering. In: IEEE International Conference iMAC4s 2013, pp. 406–408 (2013), DOI: 978-1-4673-5090-7/13

    Google Scholar 

  21. Bhateja, V., Devi, S., Urooj, S.: An Evaluation of Edge Detection Algorithms for Mammographic Calcifications. LNEE, vol. 222, pp. 487–498. Springer, India (2012) ISBN 978-81-322-0999-7 ISBN 978-81-322-1000-9 ISSN 1876-1100

    Google Scholar 

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Correspondence to Satya P. Singh .

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Singh, S.P., Urooj, S., Ekuakille, A.L. (2015). Rotational-Invariant Texture Analysis Using Radon and Polar Complex Exponential Transform. In: Satapathy, S., Biswal, B., Udgata, S., Mandal, J. (eds) Proceedings of the 3rd International Conference on Frontiers of Intelligent Computing: Theory and Applications (FICTA) 2014. Advances in Intelligent Systems and Computing, vol 327. Springer, Cham. https://doi.org/10.1007/978-3-319-11933-5_35

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  • DOI: https://doi.org/10.1007/978-3-319-11933-5_35

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11932-8

  • Online ISBN: 978-3-319-11933-5

  • eBook Packages: EngineeringEngineering (R0)

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