Declaration

THermiteKernel = class(TCustomKernel)

Description

THermiteKernel implements a 1D cubic Hermite spline interpolation filter with configurable Bias and Tension parameters, confined to radius $R=1.0$..

Mathematics

Calculates Hermite basis polynomials over range $[-2,2]$ using

$$m_0=\frac{(1-\text{Tension})(1+\text{Bias})}{2}$$

and

$$m_1=\frac{(1-\text{Tension})(1-\text{Bias})}{2}$$

References

• Cubic Hermite spline (Wikipedia)