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30 Interpolation
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This chapter describes functions for performing interpolation.  The
library provides a variety of interpolation methods, including Cubic,
Akima, and Steffen splines.  The interpolation types are
interchangeable, allowing different methods to be used without
recompiling.  Interpolations can be defined for both normal and periodic
boundary conditions.  Additional functions are available for computing
derivatives and integrals of interpolating functions.  Routines are
provided for interpolating both one and two dimensional datasets.

These interpolation methods produce curves that pass through each
datapoint.  To interpolate noisy data with a smoothing curve see Note:
Basis Splines.

The functions described in this section are declared in the header files
‘gsl_interp.h’ and ‘gsl_spline.h’.

* Introduction to 1D Interpolation
* 1D Interpolation Functions
* 1D Interpolation Types
* 1D Index Look-up and Acceleration
* 1D Evaluation of Interpolating Functions
* 1D Higher-level Interface
* 1D Interpolation Example Programs
* Introduction to 2D Interpolation
* 2D Interpolation Functions
* 2D Interpolation Grids
* 2D Interpolation Types
* 2D Evaluation of Interpolating Functions
* 2D Higher-level Interface
* 2D Interpolation Example programs
* References and Further Reading
References and Further Reading<23>.

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