The Use of Fractal Features from the Periphery of Cell Nuclei as a Classification Tool

A polygonization‐based method is used to estimate the fractal dimension and several new scalar lacunarity features from digitized transmission electron micrographs (TEM) of mouse liver cell nuclei. The fractal features have been estimated in different segments of 1D curves obtained by scanning the 2...

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Main Authors: Birgitte Nielsen, Fritz Albregtsen, Håvard E. Danielsen
Format: Article
Language:English
Published: Wiley 1999-01-01
Series:Analytical Cellular Pathology
Online Access:http://dx.doi.org/10.1155/1999/986086
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author Birgitte Nielsen
Fritz Albregtsen
Håvard E. Danielsen
author_facet Birgitte Nielsen
Fritz Albregtsen
Håvard E. Danielsen
author_sort Birgitte Nielsen
collection DOAJ
description A polygonization‐based method is used to estimate the fractal dimension and several new scalar lacunarity features from digitized transmission electron micrographs (TEM) of mouse liver cell nuclei. The fractal features have been estimated in different segments of 1D curves obtained by scanning the 2D cell nuclei in a spiral‐like fashion called “peel‐off scanning”. This is a venue to separate estimates of fractal features in the center and periphery of a cell nucleus. Our aim was to see if a small set of fractal features could discriminate between samples from normal liver, hyperplastic nodules and hepatocellular carcinomas. The Bhattacharyya distance was used to evaluate the features. Bayesian classification with pooled covariance matrix and equal prior probabilities was used as the rule for classification. Several single fractal features estimated from the periphery of the cell nuclei discriminated samples from the hyperplastic nodules and hepatocellular carcinomas from normal ones. The outer 25–30% of the cell nuclei contained important texture information about the differences between the classes. The polygonization‐based method was also used as an analysis tool to relate the differences between the classes to differences in the chromatin structure.
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spelling doaj-art-83259d503444480ebcb4e28cdae45f732025-08-20T02:09:00ZengWileyAnalytical Cellular Pathology0921-89121878-36511999-01-01191213710.1155/1999/986086The Use of Fractal Features from the Periphery of Cell Nuclei as a Classification ToolBirgitte Nielsen0Fritz Albregtsen1Håvard E. Danielsen2Group for Data Analysis, Signal and Image Processing, Department of Informatics, University of Oslo, P.O.Box 1080 Blindern, N‐0316 Oslo, NorwayGroup for Data Analysis, Signal and Image Processing, Department of Informatics, University of Oslo, P.O.Box 1080 Blindern, N‐0316 Oslo, NorwayDivision of Digital Pathology, The Norwegian Radium Hospital, Montebello, N‐0310 Oslo, NorwayA polygonization‐based method is used to estimate the fractal dimension and several new scalar lacunarity features from digitized transmission electron micrographs (TEM) of mouse liver cell nuclei. The fractal features have been estimated in different segments of 1D curves obtained by scanning the 2D cell nuclei in a spiral‐like fashion called “peel‐off scanning”. This is a venue to separate estimates of fractal features in the center and periphery of a cell nucleus. Our aim was to see if a small set of fractal features could discriminate between samples from normal liver, hyperplastic nodules and hepatocellular carcinomas. The Bhattacharyya distance was used to evaluate the features. Bayesian classification with pooled covariance matrix and equal prior probabilities was used as the rule for classification. Several single fractal features estimated from the periphery of the cell nuclei discriminated samples from the hyperplastic nodules and hepatocellular carcinomas from normal ones. The outer 25–30% of the cell nuclei contained important texture information about the differences between the classes. The polygonization‐based method was also used as an analysis tool to relate the differences between the classes to differences in the chromatin structure.http://dx.doi.org/10.1155/1999/986086
spellingShingle Birgitte Nielsen
Fritz Albregtsen
Håvard E. Danielsen
The Use of Fractal Features from the Periphery of Cell Nuclei as a Classification Tool
Analytical Cellular Pathology
title The Use of Fractal Features from the Periphery of Cell Nuclei as a Classification Tool
title_full The Use of Fractal Features from the Periphery of Cell Nuclei as a Classification Tool
title_fullStr The Use of Fractal Features from the Periphery of Cell Nuclei as a Classification Tool
title_full_unstemmed The Use of Fractal Features from the Periphery of Cell Nuclei as a Classification Tool
title_short The Use of Fractal Features from the Periphery of Cell Nuclei as a Classification Tool
title_sort use of fractal features from the periphery of cell nuclei as a classification tool
url http://dx.doi.org/10.1155/1999/986086
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