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Russian Physics Journal

, Volume 35, Issue 9, pp 881–887 | Cite as

Restrictive splines for data processing

  • V. V. Poddubnyi
Article

Abstract

We propose a new type of polynomial spline for data processing — the restrictive spline. The construction of this type of spline generalizes known ones and differs from them by the fact that the conditions of matching the elements of the spline at its nodes contain restrictions (in the form of inequalities) on the value of the maximum permissible discontinuity of the matching derivative of corresponding order (standard splines do not contain such restrictions). Varying the strength of the restrictions, one can smoothly transform the spline from one defect to another through intermediate states, which do not exist for standard spines, extending the possibilities of the spline apaproximation. We propose a stable calculating scheme for constructing restrictive splines.

Keywords

Data Processing Intermediate State Polynomial Spline Standard Spine Matching Derivative 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature cited

  1. 1.
    J. Alberg, E. Nilson, and J. Walsh, the Theory of Splines and its Applications [Russian translation], Mir, Moscow (1972).Google Scholar
  2. 2.
    B. G. Vager and N. K. Serkov, Splines in Solving Applied Problems in Meteorology and Hydrology [in Russian], Gidrometeoizdat, Leningrad (1987).Google Scholar
  3. 3.
    A. I. Propoi, Elements of the Theory of Optimal Discrete Processes [in Russian], Nauka, Moscow (1973).Google Scholar
  4. 4.
    R. P. Fedorenko, Approximately Solving Problems of Optimal Control [in Russian], Nauka, Moscow (1978).Google Scholar
  5. 5.
    A. A. Samarskii, Theory of Difference Schemes [in Russian], Nauka, Moscow (1977).Google Scholar
  6. 6.
    J. S. Meditch, Stochastic Optimal Linear Estimation and Control, McGraw Hill, NY (1969).Google Scholar

Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • V. V. Poddubnyi

There are no affiliations available

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