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On a problem of restoration of curves

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Abstract

We investigate the problem of asymptotically optimal placement of disks of the same radius under the condition of minimization of the Hausdorff distance between a given curve Γ and the union of disks under study.

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References

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  4. A. A. Ligun and A. A. Shumeiko, “On the optimal choice of nodes under the approximation of functions by interpolating splines,”Zh. Vychisl. Mat. Mat. Fiz.,24, No. 9, 1283–1293 (1984).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 2, pp. 181–189, February, 1999.

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Ligun, A.A., Shumeiko, A.A. On a problem of restoration of curves. Ukr Math J 51, 198–207 (1999). https://doi.org/10.1007/BF02513473

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  • DOI: https://doi.org/10.1007/BF02513473

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