Interpolation using Keys polynomial. More...
#include <til/KeysInterpolation.h>
Public Types | |
| typedef KeysInterpolation | Self |
Static Public Member Functions | |
| static T | compute (T f1, T f2, T f3, T f4, T f5, T f6, T x) |
| Returns the interpolated value of four numbers using the Keys method. More... | |
Detailed Description
template<typename T>
class til::KeysInterpolation< T >
Interpolation using Keys polynomial.
Computes the Keys interpolation of the sequence (f1, f2, f3, f4, f5, f6) (supposed to be equally spaced and at position (-2, -1, 0, 1, 2, 3)). 'x' is the position of the point where we want an interpolated value, and has to be in the range [0, 1].
The Keys spline is 4/3.x^3-7/3.x^2+1, -7/12.x^3 + 3.x^2-59/12.x+5/2, 1/12.x^3-2/3.x^2+7/4.x-3/2. It has been implemented using the factorization of (Meijering03) that needs the computation of only four cubic polynomial per point.
Definition at line 32 of file KeysInterpolation.h.
Member Typedef Documentation
◆ Self
| typedef KeysInterpolation til::KeysInterpolation< T >::Self |
Definition at line 37 of file KeysInterpolation.h.
Member Function Documentation
◆ compute()
|
inlinestatic |
Returns the interpolated value of four numbers using the Keys method.
- Parameters
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f1 Value assumed to lie at position -2 f2 Value assumed to lie at position -1 f3 Value assumed to lie at position 0 f4 Value assumed to lie at position 1 f5 Value assumed to lie at position 2 f6 Value assumed to lie at position 3 x The interpolated value at position x
The documentation for this class was generated from the following file:
