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Abstract

According to T.J. Rivlin (these Proc.) “The problem of optimal recovery is that of approximating as effectively as possible a given map of any function known to belong to a certain class from limited and possibly error-contaminated information about it.” More precisely, in the scheme envisioned by Rivlin there are given spaces X of possible objects, Y of possible data, and Z of possible reconstructions of certain features of the objects.

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References

  1. R. Guenther, C. Kerber, E. Killian, K. Smith, and S. Wagner, “Reconstruction of Objects from Radiographs and the Location of Brain Tumors”, Proc. Natl. Acad. Sci. USA 71: 4884–4886 (1974).

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© 1977 Springer Science+Business Media New York

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Smith, K.T., Wagner, S.L., Guenther, R.B., Solmon, D.C. (1977). Reconstruction from X-Rays. In: Micchelli, C.A., Rivlin, T.J. (eds) Optimal Estimation in Approximation Theory. The IBM Research Symposia Series. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-2388-4_10

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  • DOI: https://doi.org/10.1007/978-1-4684-2388-4_10

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-2390-7

  • Online ISBN: 978-1-4684-2388-4

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