Instead of polynomial functions, could we instead use piecewise transformations of the sine and cosine functions?
Would this interpolation technique not have aliasing issues? Or not, since we are defining the "samples?"
Does each interval have the same degree? Could we create something where each interval have different degrees?
Why do we have the same coefficient i here for a given polynomial? Can't each term in the polynomial have different coefficients, and thus subscripted by j instead?
What is the degree here?
Instead of these complex math interpolation, is there a chance to introduce AI interpolation?
Is spline somewhat connected to bezier? The way it estimates curves reminds me of bezier.
So are knots the connecting points between the piecewise functions?
Is there a similar concept of "splines" for other types of functions (not polynomial)?