Piecewise cubic interpolation methods

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Description

Interpolation of one-dimensional data using piecewise cubic interpolants is considered. Methods are presented for modifying the derivative values in the Hermite representation in order to eliminate the ''bumps'' and ''wiggles'' that frequently plague the more common cubic spline or Akima interpolants. The resulting interpolant is C/sup 1/, but generally not C/sup 2/. The report consists of a reproduction of a poster prepared for a meeting. 27 figures.

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Pages: 39

Creation Information

Fritsch, F.N. & Carlson, R.E. November 1, 1978.

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Description

Interpolation of one-dimensional data using piecewise cubic interpolants is considered. Methods are presented for modifying the derivative values in the Hermite representation in order to eliminate the ''bumps'' and ''wiggles'' that frequently plague the more common cubic spline or Akima interpolants. The resulting interpolant is C/sup 1/, but generally not C/sup 2/. The report consists of a reproduction of a poster prepared for a meeting. 27 figures.

Physical Description

Pages: 39

Notes

Dep. NTIS, PC A03/MF A01.

Source

  • SIAM 1978 Fall Meeting, November 1, 1978, Knoxville, TN

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  • Report No.: UCRL-81230
  • Report No.: CONF-781198-1
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 6411580
  • Archival Resource Key: ark:/67531/metadc1211337

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Office of Scientific & Technical Information Technical Reports

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Creation Date

  • November 1, 1978

Added to The UNT Digital Library

  • July 5, 2018, 11:11 p.m.

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  • Oct. 23, 2018, 12:20 p.m.

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Fritsch, F.N. & Carlson, R.E. Piecewise cubic interpolation methods, article, November 1, 1978; United States. (digital.library.unt.edu/ark:/67531/metadc1211337/: accessed November 18, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.