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.
Size functions applied to the statistical shape analysis and classification of tumor cells / A. Micheletti, G. Landini - In: Progress in Industrial Mathematics at ECMI 2006 / [a cura di] L.L. Bonilla, M. Moscoso, G. Platero, J.M. Vega. - Heidelberg : Springer Verlag, 2008. - ISBN 978-3-540-71991-5. - pp. 538-542 (( Intervento presentato al 14. convegno European Conference on Mathematics for Industry tenutosi a Leganes, Madrid nel 2006 [10.1007/978-3-540-71992-2_86].
Size functions applied to the statistical shape analysis and classification of tumor cells
A. MichelettiPrimo
;
2008
Abstract
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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