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.
Similar content being viewed by others
References
Yu. S. Zav’yalov, V. A. Leus, and V. A. Skorospelov,Splines in Engineering Geometry [in Russian], Nauka, Moscow (1985).
I. J. Schoenberg, “On polynomial spline functions on the circle I, II,” in:Proc. Conf. Construct. Theory of Functions, Budapest (1972), pp. 403–433.
B. Sendov,Hausdorff Approximations, Bulgarian Academy of Sciences, Sofia (1979).
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).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 2, pp. 181–189, February, 1999.
Rights and permissions
About this article
Cite this article
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
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02513473