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Diagnosis of Breast Cancer from Mammograms by Using Fractal Measures

Received: 13 September 2013     Published: 30 October 2013
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Abstract

Breast cancer is the leading cause of cancer death among women. By the following research we report on a morphological study of 30 cases as seen in mammograms, trying to discriminate among benign and malignant tumors in order to develop new tools investigation in cancer diagnosis. From the contour of each mass, we computed the fractal dimension using box-counting algorithm and for each mammogram texture we computed the lacunarity. We found that the fractal dimension value is not sufficient to differentiate among benign and malignant cases, but it was really effective when it was combined with lacunarity. In conclusion, the results obtained showed that the fractal measure is an important tool for the diagnosis of breast cancer.

Published in International Journal of Medical Imaging (Volume 1, Issue 2)
DOI 10.11648/j.ijmi.20130102.14
Page(s) 32-38
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2013. Published by Science Publishing Group

Keywords

Breast Cancer, Diagnosis, Fractal Dimension, Image Analysis, Lacunarity, Mammogram

References
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Cite This Article
  • APA Style

    Radu Dobrescu, Loretta Ichim, Daniela Crişan. (2013). Diagnosis of Breast Cancer from Mammograms by Using Fractal Measures. International Journal of Medical Imaging, 1(2), 32-38. https://doi.org/10.11648/j.ijmi.20130102.14

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    ACS Style

    Radu Dobrescu; Loretta Ichim; Daniela Crişan. Diagnosis of Breast Cancer from Mammograms by Using Fractal Measures. Int. J. Med. Imaging 2013, 1(2), 32-38. doi: 10.11648/j.ijmi.20130102.14

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    AMA Style

    Radu Dobrescu, Loretta Ichim, Daniela Crişan. Diagnosis of Breast Cancer from Mammograms by Using Fractal Measures. Int J Med Imaging. 2013;1(2):32-38. doi: 10.11648/j.ijmi.20130102.14

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  • @article{10.11648/j.ijmi.20130102.14,
      author = {Radu Dobrescu and Loretta Ichim and Daniela Crişan},
      title = {Diagnosis of Breast Cancer from Mammograms by Using Fractal Measures},
      journal = {International Journal of Medical Imaging},
      volume = {1},
      number = {2},
      pages = {32-38},
      doi = {10.11648/j.ijmi.20130102.14},
      url = {https://doi.org/10.11648/j.ijmi.20130102.14},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmi.20130102.14},
      abstract = {Breast cancer is the leading cause of cancer death among women. By the following research we report on a morphological study of 30 cases as seen in mammograms, trying to discriminate among benign and malignant tumors in order to develop new tools investigation in cancer diagnosis. From the contour of each mass, we computed the fractal dimension using box-counting algorithm and for each mammogram texture we computed the lacunarity. We found that the fractal dimension value is not sufficient to differentiate among benign and malignant cases, but it was really effective when it was combined with lacunarity. In conclusion, the results obtained showed that the fractal measure is an important tool for the diagnosis of breast cancer.},
     year = {2013}
    }
    

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  • TY  - JOUR
    T1  - Diagnosis of Breast Cancer from Mammograms by Using Fractal Measures
    AU  - Radu Dobrescu
    AU  - Loretta Ichim
    AU  - Daniela Crişan
    Y1  - 2013/10/30
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    N1  - https://doi.org/10.11648/j.ijmi.20130102.14
    DO  - 10.11648/j.ijmi.20130102.14
    T2  - International Journal of Medical Imaging
    JF  - International Journal of Medical Imaging
    JO  - International Journal of Medical Imaging
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    EP  - 38
    PB  - Science Publishing Group
    SN  - 2330-832X
    UR  - https://doi.org/10.11648/j.ijmi.20130102.14
    AB  - Breast cancer is the leading cause of cancer death among women. By the following research we report on a morphological study of 30 cases as seen in mammograms, trying to discriminate among benign and malignant tumors in order to develop new tools investigation in cancer diagnosis. From the contour of each mass, we computed the fractal dimension using box-counting algorithm and for each mammogram texture we computed the lacunarity. We found that the fractal dimension value is not sufficient to differentiate among benign and malignant cases, but it was really effective when it was combined with lacunarity. In conclusion, the results obtained showed that the fractal measure is an important tool for the diagnosis of breast cancer.
    VL  - 1
    IS  - 2
    ER  - 

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Author Information
  • Automatic Control and Industrial Informatics Department, Politechnic University of Bucharest, Bucharest, Romania

  • Automatic Control and Industrial Informatics Department, Politechnic University of Bucharest, Bucharest, Romania

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