BSplineKerne
BSplineKerne is a kernel function derived from B-spline basis functions. It is used for smoothing, interpolation, and as a building block in kernel-based methods. In one dimension, a B-spline of order n is a piecewise polynomial with compact support, obtained by convolving a simple starting function with itself n times. The corresponding kernel K_n is typically taken to be the B-spline function B_n, sometimes centered and normalized to integrate to one. In higher dimensions, a common choice is a separable kernel K_n(x) = product over coordinates of B_n(x_i), which makes convolution efficient and yields predictable smoothing along each axis.
Key properties of B-spline kernels include non-negativity, symmetry about the center, and compact support whose length
Common applications span image and signal processing, where cubic B-spline kernels (order four) are widely used