Declaration

TBoxKernel = class(TCustomKernel)

Description

TBoxKernel implements a nearest-neighbor box filter (also known as a top-hat or rectangular window).

Mathematics

The box filter function is defined mathematically as:

$$f(x)=\{\begin{array}{ll}1,& \text{if }|x|\le 0.5\\ 0,& \text{otherwise}\end{array}$$

The kernel width radius is $W=0.5$ (reported as $1.0$ full support).

References

• Nearest-neighbor interpolation (Wikipedia)
• Box filter (Wikipedia)