Geodesic
Focal approximation on the complex plane
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 11, pp. 1963-1972

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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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     author = {T. A. Rakcheeva},
     title = {Focal approximation on the complex plane},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1963--1972},
     publisher = {mathdoc},
     volume = {51},
     number = {11},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_11_a2/}
}
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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/