Skip to main content

Fourier Fractal Descriptors for Colored Texture Analysis

  • Conference paper
Advanced Concepts for Intelligent Vision Systems (ACIVS 2011)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 6915))

Abstract

This work proposes the use of a texture descriptor based on the Fourier fractal dimension applied to the analysis of colored textures. The technique consists in the transform of the color space of the texture through a colorimetry approach followed by the extraction of fractal descriptors from each transformed color channell. The fractal descriptors are obtained from the Fourier fractal dimension of the texture. The descriptors are finally concatenated, composing the complete descriptors. The performance of the proposed technique is compared to the classical chromaticity moment and the state-of-the-art multispectral Gabor filters in the classification of samples from the VisTex dataset.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Backes, A.R., Casanova, D., Bruno, O.M.: Plant leaf identification based on volumetric fractal dimension. International Journal of Pattern Recognition and Artificial Intelligence (IJPRAI) 23(6), 1145–1160 (2009)

    Article  Google Scholar 

  2. Bruno, O.M., de Oliveira Plotze, R., Falvo, M., de Castro, M.: Fractal dimension applied to plant identification. Information Sciences 178(12), 2722–2733 (2008)

    Article  MathSciNet  Google Scholar 

  3. Caelli, T., Reye, D.: On the classification of image regions by colour, texture and shape. Pattern Recognition 26(4), 461–470 (1993)

    Article  Google Scholar 

  4. Carlin, M.: Measuring the complexity of non-fractal shapes by a fractal method. Pattern Recognition Letters 21(11), 1013–1017 (2000)

    Article  MATH  Google Scholar 

  5. Falconer, K.J.: The Geometry of Fractal Sets. Cambridge University Press, New York (1986)

    MATH  Google Scholar 

  6. Geusebroek, J.-M., van den Boomgaard, R., Smeulders, A.W.M., Dev, A.: Color and scale: The spatial structure of color images. In: Vernon, D. (ed.) ECCV 2000. LNCS, vol. 1842, pp. 331–341. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  7. Hoang, M.A., Geusebroek, J.M., Smeulders, A.W.: Color texture measurement and segmentation. Signal Processing 85(2), 265–275 (2005)

    Article  MATH  Google Scholar 

  8. Jain, A., Healey, G.: A Multiscale Representation Including Opponent Color Features for Texture Recognition. IEEE Transactions on Image Processing 7(1), 124–128 (1998)

    Article  Google Scholar 

  9. Mandelbrot, B.B.: The Fractal Geometry of Nature. Freeman, NY (1968)

    Google Scholar 

  10. Manjunath, B., Ohm, J., Vasudevan, V., Yamada, A.: Color and Texture Descriptors. IEEE Transactions on Circuits and Systems for video Technology 11(6), 703–715 (2001)

    Article  Google Scholar 

  11. Manoel, E.T.M., da Fontoura Costa, L., Streicher, J., Müller, G.B.: Multiscale fractal characterization of three-dimensional gene expression data. In: SIBGRAPI, pp. 269–274. IEEE Computer Society, Los Alamitos (2002)

    Google Scholar 

  12. Materka, A., Strzelecki, M., Analysis, T., Review, M.A., Materka, A., Strzelecki, M.: Texture analysis methods - a review. Tech. rep., Institute of Electronics, Technical University of Lodz (1998)

    Google Scholar 

  13. Millan, H., Gonzalez-Posada, M.: Modelling Soil Water Retention Scaling. Comparison of a Classical Fractal Model with a Piecewise Approach. GEODERMA 125(1-2), 25–38 (2005)

    Google Scholar 

  14. MIT: Mit vistex texture database, http://vismod.media.mit.edu/vismod/imagery/VisionTexture/vistex.html

  15. Paschos, G.: Chromatic correlation features for texture recognition. Pattern Recognition Letters 19(8), 643–650 (1998)

    Article  MATH  Google Scholar 

  16. Plotze, R.O., Padua, J.G., Falvo, M., Vieira, M.L.C., Oliveira, G.C.X., Bruno, O.M.: Leaf shape analysis by the multiscale minkowski fractal dimension, a new morphometric method: a study in passiflora l (passifloraceae). Canadian Journal of Botany-Revue Canadienne de Botanique 83(3), 287–301 (2005)

    Google Scholar 

  17. Quevedo, R., Mendoza, F., Aguilera, J.M., Chanona, J., Gutierrez-Lopez, G.: Determination of Senescent Spotting in Banana (Musa cavendish) Using Fractal Texture Fourier Image. Journal of Food Engineering 84(4), 509–515 (2008)

    Article  Google Scholar 

  18. Russ, J.C.: Fractal Surfaces. Plenum Press, New York (1994)

    Book  Google Scholar 

  19. Singh, S., Sharma, M.: Texture analysis experiments with meastex and vistex benchmarks. In: Singh, S., Murshed, N., Kropatsch, W.G. (eds.) ICAPR 2001. LNCS, vol. 2013, pp. 417–424. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  20. Thai, B., Healey, G.: Modeling and Classifying Symmetries Using a Multiscale Opponent Color Representation. IEEE Transactions on Pattern Analysis and Machine Intelligence 20(11), 1224–1235 (1998)

    Article  Google Scholar 

  21. Tian-Gang, L., Wang, S., Zhao, N.: Fractal Research of Pathological Tissue Images. Computerized Medical Imaging and Graphics 31(8), 665–671 (2007)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Florindo, J.B., Bruno, O.M. (2011). Fourier Fractal Descriptors for Colored Texture Analysis. In: Blanc-Talon, J., Kleihorst, R., Philips, W., Popescu, D., Scheunders, P. (eds) Advanced Concepts for Intelligent Vision Systems. ACIVS 2011. Lecture Notes in Computer Science, vol 6915. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23687-7_26

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-23687-7_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23686-0

  • Online ISBN: 978-3-642-23687-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics