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<p><b>Abstract</b>—This paper is an extension of the already published paper by Voss and Suesse [<ref type="bib" rid="bibI064611">11</ref>]. In that paper, we developed a new region-based fitting method using the method of normalization. There we demonstrated the zero-parametric fitting of <it>lines</it>, <it>triangles</it>, <it>parallelograms</it>, <it>circles</it>, and <it>ellipses</it>. In the present paper, we discuss this normalization idea for fitting of closed regions using circular segments, elliptical segments, and super-ellipses. As features, we use the area-based low order moments. We show that we have to solve only one-dimensional optimization problems in these cases. </p>
Fitting, canonical frame, moments, ellipses, normalization.

K. Voss and H. Suesse, "A New One-Parametric Fitting Method for Planar Objects," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 21, no. , pp. 646-651, 1999.
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