Geodesic
The Problem of Reconstructing a Quasihomogeneous String from Its Part
Matematičeskie zametki, Tome 82 (2007) no. 1, pp. 125-134.

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We consider quasihomogeneous strings with piecewise constant density and derive the quasihomogeneity condition. For a small number of string components, we present explicit formulas for reconstructing a string from its part. For an arbitrary number of string components, we construct a theory of matrix distinguishing and present an algorithm for the string reconstruction.
Keywords: quasihomogeneous string, rational mapping
Mots-clés : polynomial equations, reconstruction algorithm. 
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P. S. Sarkisyan. The Problem of Reconstructing a Quasihomogeneous String from Its Part. Matematičeskie zametki, Tome 82 (2007) no. 1, pp. 125-134. http://geodesic.mathdoc.fr/item/MZM_2007_82_1_a13/

[1] R. S. Ismagilov, P. S. Sarkisyan, “O kvaziodnorodnykh strunakh”, Matem. zametki, 78:2 (2005), 317–320 | MR | Zbl