Fitting parabolas in noisy images

Luis A. García-Escudero, Agustín Mayo-Iscar and Clara I. Sánchez-Gutiérrez

Computational Statistics & Data Analysis, 2017, vol. 112, issue C, 80-87

Abstract: A novel approach to fitting parabolas to scattered data is introduced by putting special emphasis on the robustness of the approach. The robust fit is achieved by not taking into account a proportion α of the “most outlying” observations, allowing the procedure to trim them off. The most outlying observations are self-determined by the data. Procrustes analysis techniques and a particular type of “concentration” steps are the keystone of the proposed methodology. An application to a retinographic study is also presented.

Keywords: Parabola fitting; Robustness; Procrustes analysis; Retinography (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:112:y:2017:i:c:p:80-87

DOI: 10.1016/j.csda.2017.03.008

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