Geodesic
Focal approximation on the complex plane
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 11, pp. 1963-1972 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of analytic approximation of a smooth closed curve specified by a set of its points on the complex plane is proposed. An algorithmic method for constructing an approximating lemniscate is proposed and investigated. This method is based on a mapping of the curve to be approximated onto the phase circle; the convergence of the method is proved. The location of the lemniscate foci inside the curve provides the degrees of freedom for the focal approximation. 
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T. A. Rakcheeva. Focal approximation on the complex plane. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 11, pp. 1963-1972. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_11_a2/

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