Declaration

TLanczosKernel = class(TWindowedSincKernel)

Description

TLanczosKernel implements a Sinc filter multiplied by a Sinc windowing lobe (commonly Lanczos3 with $W=3.0$).

Mathematics

$$f(x)=\{\begin{array}{ll}\text{sinc}(x)\text{sinc}\left(\frac{x}{W}\right),& \text{if }|x|<W\\ 0,& \text{otherwise}\end{array}$$

References

• Claude E. Duchon, "Lanczos Filtering in One and Two Dimensions", Journal of Applied Meteorology, 1979.
• Turkowski, K. (1990). Filters for Common Resampling Tasks. Graphics Gems.
• Lanczos resampling (Wikipedia)