Skip to main content
SpringerLink
Log in

Fractal Analysis of Dental Radiographic Images in the Irregular Regions of Interest

  • Conference paper
Information Technologies in Biomedicine

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 69))

Abstract

The irregularity or ”roughness” of medical images is quantified by means of fractal dimension D. For medical images diagnostically important information often lies in the texture. In this paper we describe the application of the intensity difference scaling method for assessment of the fractal dimension D in the irregular regions of interest (irregular ROI-s). Near boundary between different tissues or structures the values of fractal dimensions changed significantly. It is difficult to fit entire regular region of interest within the examined organ with simultaneous inclusion of the relevant fragment, and at the same time to avoid the influence of boundaries.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
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. Bassingthwaighte, J.B.: Physiological heterogeneity, fractals link determinism and randomness in structures and functions. News Physiol. Sci. 3, 5–10 (1988)

    Google Scholar 

  2. Besicovitch, A.: On the fundamental properties of linearly measurable plane sets of points. Math. Ann. 98, 422–464 (1928)

    Article  MathSciNet  Google Scholar 

  3. Bianchi, F., Bonetto, R.: FERimage: an interactive program for fractal dimension, d(per) and d(min) calculations. Scanning 23, 193–197 (2001)

    Article  Google Scholar 

  4. Caldwell, C.B., Moran, E.L., Bogoch, E.R.: Fractal dimension as a measure of altered trabecular bone in experimental inflammatory arthritis. J. Bone Miner Res. 13(6), 978–985 (1998)

    Article  Google Scholar 

  5. Chen, C.C., Daponte, J.S., Fox, M.D.: Fractal feature analysis and classification in medical imaging. IEEE Trans. Med. Imaging 8, 133–142 (1989)

    Article  Google Scholar 

  6. Chen, S.S., Keller, J.M., Crownover, R.M.: On the calculations of fractal features from images. IEEE Trans. Patt. Anal. Machine Intell. 15(10), 1087–1090 (1993)

    Article  Google Scholar 

  7. Clarke, K.C.: Computation of the fractal dimension of topographic surfaces using the triangular prism surface area method. Comp. Geosci. 12, 713–722 (1986)

    Article  Google Scholar 

  8. Dennis, T.J., Dessipris, N.G.: Fractal modelling in image texture analysis. IEEE Proc.-F 136, 227–235 (1989)

    Google Scholar 

  9. Hausdorff, F.: Dimension und äußeres Maß. Math. Ann. 79, 157–179 (1918)

    Article  MathSciNet  MATH  Google Scholar 

  10. Maragos, P., Sun, F.-K.: Measuring the fractal dimension of signals: morphological covers and iterative optimization. IEEE Trans. Signal Process. 41(1), 108–121 (1993)

    Article  MATH  Google Scholar 

  11. Peleg, S., Naor, J., Hartley, R., Avnir, D.: Multiple resolution texture analysis and classification. IEEE Trans. Pattern Anal. Mach. lntell. 6(4), 518–523 (1984)

    Article  Google Scholar 

  12. Losa, G.A., Merlini, D., Nonnemacher, T.F., Weibel, E.R.: Fractals in Biology and Medicine, vol. II. Birkhäuser Verlag, Basel (1998)

    Google Scholar 

  13. Losa, G.A., Merlini, D., Nonnemacher, T.F., Weibel, E.R.: Fractals in Biology and Medicine, vol. III. Birkhäuser Verlag, Basel (2002)

    MATH  Google Scholar 

  14. Losa, G.A., Merlini, D., Nonnemacher, T.F., Weibel, E.R.: Fractals in Biology and Medicine, vol. IV. Birkhäuser Verlag, Basel (2005)

    Google Scholar 

  15. Umbaugh, S.E.: Computer vision and image processing: A practical approach using CVIP tools. Prentice Hall PTR, Upper Saddle River (1998)

    Google Scholar 

  16. Oczeretko, E.: Wymiar fraktalny w analizie sygnałów i obrazów biomedycznych. Wydawnictwo Uniwersytetu w Białymstoku, Białystok (2006) (in Polish)

    Google Scholar 

  17. Oczeretko, E., Rogowski, F., Jurgilewicz, D.: Fractal analysis of nuclear medicine scans. In: Losa, G.A., Merlini, D., Nonnemacher, T.F., Weibel, E.R. (eds.) Fractals in Biology and Medicine, vol. II. Birkhäuser, Basel (1998)

    Google Scholar 

  18. Oczeretko, E., Borowska, M., Kitlas, A., Borusiewicz, A., Sobolewska-Siemieniuk, M.: Fractal analysis of medical images in the irregular regions of interest. In: 8th IEEE International Conference on Bioinformatics and BioEngineering, Athens, CD, October 8–10 (2008), ISBN: 978-1-4244-2845-8

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Medical Informatics, University of Białystok, Sosnowa 64, 15-887, Białystok, Poland

    Edward Oczeretko, Marta Borowska, Agnieszka Kitlas & Andrzej Radwański

  2. Department of Orthodontics, Medical University of Białystok, Waszyngtona 15A, 15-274, Białystok, Poland

    Izabela Szarmach

  3. Department of Maxillofacial Surgery, Medical University of Białystok, M. Skłodowskiej-Curie 24A, 15-274, Białystok, Poland

    Janusz Szarmach

Authors
  1. Edward Oczeretko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Marta Borowska
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Izabela Szarmach
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Agnieszka Kitlas
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Janusz Szarmach
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Andrzej Radwański
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Faculty of Automatic Control, Electronics and Computer Science, Silesian University of Technology, ul. Akademicka 16, 44-100, Gliwice, Poland

    Ewa Piȩtka  & Jacek Kawa  & 

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Oczeretko, E., Borowska, M., Szarmach, I., Kitlas, A., Szarmach, J., Radwański, A. (2010). Fractal Analysis of Dental Radiographic Images in the Irregular Regions of Interest. In: Piȩtka, E., Kawa, J. (eds) Information Technologies in Biomedicine. Advances in Intelligent and Soft Computing, vol 69. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13105-9_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-13105-9_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13104-2

  • Online ISBN: 978-3-642-13105-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation