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The computation of points or values between ones that are known or tabulated using the surrounding points or values.
See also Aitken Interpolation, Bessel's Interpolation Formula, Everett Interpolation, Extrapolation, Finite Difference, Gauss's Interpolation Formula, Hermite Interpolation, Lagrange Interpolating Polynomial, Newton-Cotes Formulas, Newton's Divided Difference Interpolation Formula, Osculating Interpolation, Thiele's Interpolation Formula
References
Abramowitz, M. and Stegun, C. A. (Eds.). ``Interpolation.'' §25.2 in
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.
New York: Dover, pp. 878-882, 1972.
Iyanaga, S. and Kawada, Y. (Eds.). ``Interpolation.'' Appendix A, Table 21 in
Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, pp. 1482-1483, 1980.
Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. ``Interpolation and Extrapolation.'' Ch. 3 in
Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England:
Cambridge University Press, pp. 99-122, 1992.