Aliasing would still occur using this approximation right?
Are these points intended to be spaced equally apart?
What happens if the points are not equally spaced apart? Is there any advantages to doing it that way?
Why stop at affine? What about using piecewise polynomial curves that are easy to integrate as the approximation?
Does nyquist sampling rate still apply?
Why do we use affine functions? We would be able to get something similar if we use rectangles to approximate it