Size Functions Applied to the Statistical Shape Analysis and Classification of Tumor Cells

  • Alessandra Micheletti
  • Gabriel Landini
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 12)

Here the Theory of Size Functions is introduced and joined to some statistical techniques of discriminant analysis, to perform automatic classification of families of random shapes. The method is applied to the classification of normal and malignant tumor cell nuclei, described via their section profiles. The results here reported are compared with other techniques of shape analysis, already applied to the same data, showing some improvements.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Alessandra Micheletti
    • 1
  • Gabriel Landini
    • 2
  1. 1.Department of MathematicsUniversità degli Studi di MilanoMilanoItalia
  2. 2.Oral Pathology Unit, School of DentistryThe University of BirminghamBirminghamEngland, UK

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