Fractal analysis of contours of breast masses in mammograms.

Fractal analysis has been shown to be useful in image processing for characterizing shape and gray-scale complexity. Breast masses present shape and gray-scale characteristics that vary between benign masses and malignant tumors in mammograms. Limited studies have been conducted on the application o...

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Publicado en:Journal of Digital Imaging Vol. 20; no. 3; pp. 223 - 238
Autores principales: Rangayyan RM, Nguyen TM
Formato: equations & formulas research tables/charts Journal Article
Publicado: Springer Nature Sep2007
Acceso en línea:Ver este registro en EBSCOhost
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      dt: Sep2007
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      pub: Springer Nature
      place: New York, New York
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        atl: Fractal analysis of contours of breast masses in mammograms.
      aug:
        au:
          Rangayyan RM
          Nguyen TM
        affil: Department of Electrical and Computer Engineering, Schulich School of Engineering, University of Calgary, Calgary, Alberta, Canada, T2N 1N4.
      sug:
        subj:
          Breast Neoplasms Diagnosis
          Breast Radiography
          Mammography
          Automation
          Breast Neoplasms Classification
          Comparative Studies
          Diagnosis, Computer Assisted
          Funding Source
          Mathematics
          ROC Curve
          Sensitivity and Specificity
          Human
      ab: Fractal analysis has been shown to be useful in image processing for characterizing shape and gray-scale complexity. Breast masses present shape and gray-scale characteristics that vary between benign masses and malignant tumors in mammograms. Limited studies have been conducted on the application of fractal analysis specifically for classifying breast masses based on shape. The fractal dimension of the contour of a mass may be computed either directly from the 2-dimensional (2D) contour or from a 1-dimensional (1D) signature derived from the contour. We present a study of four methods to compute the fractal dimension of the contours of breast masses, including the ruler method and the box counting method applied to 1D and 2D representations of the contours. The methods were applied to a data set of 111 contours of breast masses. Receiver operating characteristics (ROC) analysis was performed to assess and compare the performance of fractal dimension and four previously developed shape factors in the classification of breast masses as benign or malignant. Fractal dimension was observed to complement the other shape factors, in particular fractional concavity, in the representation of the complexity of the contours. The combination of fractal dimension with fractional concavity yielded the highest area (A ( z )) under the ROC curve of 0.93; the two measures, on their own, resulted in A ( z ) values of 0.89 and 0.88, respectively.
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    language: English
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