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Shape Classification Using Hilbert Space Embeddings and Kernel Adaptive Filtering

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Image Analysis and Recognition (ICIAR 2018)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 10882))

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Abstract

Shape classification is employed for realizing image object identification and classification tasks. Most of the state-of-the-art approaches use sequential features extracted from contours to classify shapes, either directly, i.e., k-nearest neighbors (KNN), or through stochastic models, i.e., hidden Markov models (HMMs). Here, inspired by probability based metrics using Hilbert space embedding (HSE), we introduce a novel scheme for efficient shape classification. To this end, we highlight relevant curvature patterns from binary images towards a Kernel Adaptive Filtering (KAF)-based enhancement of the maximum mean discrepancy metric. Namely, we test the performance of our approach on the well-known MPEG-7 and 99-Shapes databases. Results show that our strategy can code relevant shape properties from binary images achieving competitive classification results.

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Notes

  1. 1.

    http://vision.lems.brown.edu/content/.

  2. 2.

    http://www.dabi.temple.edu/~shape/MPEG7/dataset.html.

References

  1. Bicego, M., Murino, V.: Investigating Hidden Markov models’ capabilities in 2D shape classification. IEEE Trans. Pattern Anal. Mach. Intell. 26(2), 281–286 (2004)

    Article  Google Scholar 

  2. Chen, B., Zhao, S., Zhu, P., Principe, J.C.: Quantized Kernel least mean square algorithm. IEEE Trans. Neural Netw. Learn. Syst. 23(1), 22–32 (2012)

    Article  Google Scholar 

  3. Keskin, C., Kıraç, F., Kara, Y.E., Akarun, L.: Hand pose estimation and hand shape classification using multi-layered randomized decision forests. In: Fitzgibbon, A., Lazebnik, S., Perona, P., Sato, Y., Schmid, C. (eds.) ECCV 2012, Part VI. LNCS, vol. 7577, pp. 852–863. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-33783-3_61

    Chapter  Google Scholar 

  4. Liu, W., Principe, J.C., Haykin, S.: Kernel Adaptive Filtering: A Comprehensive Introduction, vol. 57. John Wiley & Sons, New York (2011)

    Google Scholar 

  5. Luo, C., Ma, L.: Manifold regularized distribution adaptation for classification of remote sensing images. IEEE Access (2018)

    Google Scholar 

  6. Pun, C.M., Lin, C.: Geometric invariant shape classification using hidden markov model. In: 2010 International Conference on DICTA, pp. 406–410. IEEE (2010)

    Google Scholar 

  7. Rathi, Y., Vaswani, N., Tannenbaum, A., Yezzi, A.: Tracking deforming objects using particle filtering for geometric active contours. IEEE Trans. Pattern Anal. Mach. Intell. 29(8), 1470–1475 (2007)

    Article  Google Scholar 

  8. Sriperumbudur, B.K., Gretton, A., Fukumizu, K., Schölkopf, B., Lanckriet, G.R.: Hilbert space embeddings and metrics on probability measures. J. Mach. Learn. Res. 11, 1517–1561 (2010)

    MathSciNet  MATH  Google Scholar 

  9. Zuluaga, C.D., Valencia, E.A., Álvarez, M.A., Orozco, Á.A.: A parzen-based distance between probability measures as an alternative of summary statistics in approximate bayesian computation. In: Murino, V., Puppo, E. (eds.) ICIAP 2015. LNCS, vol. 9279, pp. 50–61. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-23231-7_5

    Chapter  Google Scholar 

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Acknowledgments

Under grants provided by COLCIENCIAS project 1110-744-55958: “Desarrollo de un sistema de identificación de estructuras nerviosas en imágenes de ultrasonido para la asistencia de bloqueo de nervios periféricos". J.S. Blandon is partially funded by the project E6-18-09 (Vicerrectoria de Investigaciones, Innovación y Extensión) from Universidad Tecnológica de Pereira, and by COLCIENCIAS program 775: “Jóvenes Investigadores e Innovadores por la Paz 2017".

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Correspondence to J. S. Blandon or C. K. Valencia .

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Blandon, J.S., Valencia, C.K., Alvarez, A., Echeverry, J., Alvarez, M.A., Orozco, A. (2018). Shape Classification Using Hilbert Space Embeddings and Kernel Adaptive Filtering. In: Campilho, A., Karray, F., ter Haar Romeny, B. (eds) Image Analysis and Recognition. ICIAR 2018. Lecture Notes in Computer Science(), vol 10882. Springer, Cham. https://doi.org/10.1007/978-3-319-93000-8_28

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  • DOI: https://doi.org/10.1007/978-3-319-93000-8_28

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-92999-6

  • Online ISBN: 978-3-319-93000-8

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