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Recovery of a Function from Information on Its Values at the Nodes of a Triangular Grid Based on Data Completion

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Ukrainian Mathematical Journal Aims and scope

Abstract

We consider a method for binary completion of two-dimensional data. On the basis of information about a surface given by a triangular grid, we construct a continuous polygonal surface based on a denser grid (than the one given). We determine the error and norm of this method and study its properties.

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REFERENCES

  1. I. Daubechies, Ten Lectures on Wavelets, SIAM, Philadelphia (1992).

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  2. A. A. Ligun and A. A. Shumeiko, “A linear method for the recovery of functions based on binary data completion,” Ukr. Mat. Zh., 53, No. 11, 1501–1512 (2001).

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  3. S. Dubuc, “Interpolation through an iterative scheme,” J. Math. Anal. Appl., 185–204 (1986).

  4. S. de Marchi, The Dyadic Iterative Interpolation Method and Some Extensions, Technical Report No. 10.94, Univ. Padua (1994).

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Authors and Affiliations

  1. Dneprodzerzhinsk Technical University, Dneprodzerzhinsk

    A. A. Ligun

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  1. A. A. Ligun
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  2. A. A. Shumeiko
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Ligun, A.A., Shumeiko, A.A. Recovery of a Function from Information on Its Values at the Nodes of a Triangular Grid Based on Data Completion. Ukrainian Mathematical Journal 54, 409–420 (2002). https://doi.org/10.1023/A:1020561316289

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  • DOI: https://doi.org/10.1023/A:1020561316289

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