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A method of univariate interpolation that has the accuracy of a third-degree polynomial
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Volume 17 ,  Issue 3  (September 1991) table of contents
Pages: 341 - 366  
Year of Publication: 1991
ISSN:0098-3500
Author
Hiroshi Akima  U.S. National Telecommunications and Information Administration, U.S. Dept. of Commerce, Boulder, CO
Publisher
ACM  New York, NY, USA
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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ACKLAND, T.G. On osculatory interpolation, where the given values of the function are at unequal intervals. J. Inst. Actuar. 49 (Oct. 1915), 369-375.
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DArtS, P.J. Interpolation and Approximation. Dover, New York, 1975.
 
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DE BooR, C. A Practical Grade to Splines. Springer-Verlag, New York, 1978.
 
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Fro?sou, F.N. Piecewise cubic Hermite interpolation package. In SIAM 30th Anniversary Meeting (Stanford, Calif., July 1982), p. 71.
 
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FmTscs, F. N., AND BUTLAND, J. A method for constructing local monotone piecewise cubic mterpolants. SIAM J. Sci. Stat. Comput. 5, 2 (June 1984), 300-304.
 
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FRITSCH, F. N., AND CARLSON, R. E. Monotone piecewise cubic interpolation. SIAM J. Numer. Anal. 17, 2 (Apr. 1980), 238-246.
 
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GREVmLE, T. N.E. Spline functions, interpolation, numerical quadrature. In Mathematical Methods for Digital Computers, Vol. 2, A. Ralston and H. S. Wilf, Eds., Wiley, New York, 1967, ch. 8.
 
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IMSL (International Mathematical and Statistical Libraries). IMSL Library Reference Manual, Ed. 7 (Jan. 1979), Ch. I.
 
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KARUP, J. On a new mechanical method of graduation. In Transactmns of the Second International Actuarial Congress. C. and E. Layton, London, 1899, pp. 78-109.
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ROULIER, J. A. Constrained interpolation. SIAM J. Sci. Stat. Comput. 1, 3 (Sept 1980), 333-344.



REVIEW

"Marius Cosma : Reviewer"

Akima presents a new method for univariate interpolation that produces a natural-looking curve when it is used for smooth curve fitting. The method is an improved version, without basic changes, of the original method included in the IMSL Libr  more...


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