In a relatedly similar way, you can define fractional B-splines. The nth order B-spline is the n+1-fold convolution of a box function. n+1 convolutions turn int

In a relatedly similar way, you can define fractional B-splines. The nth order B-spline is the n+1-fold convolution of a box function. n+1 convolutions turn into raising the fourier transform of the box function to the n+1 power in the fourier domain. This generalizes to non-integer powers. Then you just invert. Cool stuff :)