Diagnosis of Breast Cancer from Mammograms by Using Fractal Measures

Radu Dobrescu; Loretta Ichim; Daniela Crişan

doi:doi:10.11648/j.ijmi.20130102.14

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Diagnosis of Breast Cancer from Mammograms by Using Fractal Measures

Radu Dobrescu, Loretta Ichim, Daniela Crişan

Published in International Journal of Medical Imaging (Volume 1, Issue 2)

Received: 13 September 2013 Accepted: 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), 2024. Published by Science Publishing Group

Keywords

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

References

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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
PY  - 2013
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
SP  - 32
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

Radu Dobrescu

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

Automatic Control and Industrial Informatics Department, Politechnic University of Bucharest, Bucharest, Romania; Stefan S. Nicolau Institute of Virology, Bucharest, Romania
Daniela Crişan

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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

Copy | Download

@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
PY  - 2013
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
SP  - 32
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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