NUCLEI SHAPE ANALYSIS, A STATISTICAL APPROACH

Alberto Nettel-Aguirre

Abstract

The method presented in our paper suggests the use of Functional Data Analysis (FDA) techniques in an attempt to characterise the nuclei of two types of cells: Cancer and non-cancer, based on their 2 dimensional profiles. The characteristics of the profile itself, as traced by its X and Y coordinates, their first and second derivatives, their variability and use in characterization are the main focus of this approach which is not constrained to star shaped nuclei. Findings: Principal components created from the coordinates relate to shape with significant differences between nuclei type. Characterisations for each type of profile were found.

Keywords
2-dimensional profile; cancer detection; functional data analysis; principal differential analysis;star shape

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DOI: 10.5566/ias.v27.p1-10

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Image Analysis & Stereology
EISSN 1854-5165 (Electronic version)
ISSN 1580-3139 (Printed version)