Authors: Aktaş, Mehmet Ali
Žunić, Joviša 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: A family of shape ellipticity measures for galaxy classification
Journal: SIAM Journal on Imaging Sciences
Volume: 6
Issue: 2
First page: 765
Last page: 781
Issue Date: 2013
Rank: M21a
ISSN: 1936-4954
DOI: 10.1137/120866026
Abstract: 
A new family of shape ellipticity measures is introduced. Each measure from the family distinguishes among the ellipses with different axis length ratios. This is not case for existing ellipticity measures. The new measures are theoretically well founded, which helps us to better understand their behavior and suitability to certain applications. All measures from the family are invariant with respect to translation, rotation, and scaling transformations; range over (0,1]; and pick the value 1 only for the ellipses with a specific ratio between minor and major axis lengths. The measures from the new family are applied to the galaxy classification tasks. The 100% classification rate was achieved by using a k-NN classifier. Only six parameters (feature vector components), computed from three different ellipticity measures, were used. Based on 100 mutually independent experiments, an average classification rate of 95.6% was obtained. Previously accuracies of 92.3% and 95.1% were obtained using nearest neighbor and neural network classifiers, respectively.
Keywords: Ellipticity measure | Image processing | Object classification | Shape
Publisher: SIAM

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