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Image Representation in Differential Space

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Advances in Visual Computing (ISVC 2008)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 5359))

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Abstract

In this paper, a derivative estimator is introduced to obtain differential information of images. Experiments show that differentials obtained by this estimator outperform the traditional Sobel operator and this estimator is practical for extracting differential image information. A new image representation in this differential space is also proposed. Differential sign sequences of images are used as the signature of image patterns. The Hamming distance is used for template matching. The proposed representation is invariant to brightness and contrast and is robust to noise because of the low pass property of the estimator. Template matching is used as an example to exhibit the advantage of this representation. Experiments demonstrate good performance of the proposed method.

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References

  1. Weiss, I.: High-Order Differentiation Filters That Work. IEEE trans. on pattern analysis and machine intelligence 16(7), 734–739 (1994)

    Article  Google Scholar 

  2. Cai, H., Lei, L., Su, Y.: An Affine Invariant Region Detector Using the 4th Differential Invariant. In: 19th IEEE International Conference on Tools with Artificial Intelligence(ICTAI 2007), vol. 1, pp. 540–543 (2007)

    Google Scholar 

  3. Diplaros, A., Gevers, T., Patras, I.: Combining color and shape information for illumination-viewpoint invariant object recognition. IEEE Transactions on Image Processing 15(1), 1–11 (2006)

    Article  Google Scholar 

  4. Olver, P.J., Sapiro, G., Tannenbaum, A.: Affine invariant detection: edges, active contours, and segments. In: IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR 1996), pp. 520–525 (1996)

    Google Scholar 

  5. Qi, G., Chen, Z., Yuan, Z.: Model-free control of affine chaotic systems. Physics Letters A 344, 189–202 (2005)

    Article  MATH  Google Scholar 

  6. Guoyuan, Q., Chen, Z., Yuan, Z.: Adaptive high order differential feedback control for affine nonlinear system. Chaos, Solitons and Fractals 37, 308–315 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  7. van Wyk, M.A.: Brushless DC Motor Control (1997), http://dept.ee.wits.ac.za/~vanwyk

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© 2008 Springer-Verlag Berlin Heidelberg

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Du, S., van Wyk, B.J., van Wyk, M.A., Qi, G., Zhang, X., Tu, C. (2008). Image Representation in Differential Space. In: Bebis, G., et al. Advances in Visual Computing. ISVC 2008. Lecture Notes in Computer Science, vol 5359. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89646-3_61

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  • DOI: https://doi.org/10.1007/978-3-540-89646-3_61

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-89645-6

  • Online ISBN: 978-3-540-89646-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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