Savitzky-Golay filters (yes they have other names) are robust estimators of slope. Where a small noise can substantially damage the slope estimate of textbook finite difference methods, the S-G filter has much smaller response to the noise.
What is the integration/integrator equivalent of this filter?
I would think it is not Gaussian Quadrature, because quadrature is not derived from convolution, and it is sensitive to noise in a manner similar to non-robust finite difference methods for estimating the slope.
I tried several google searches, google scholar searches, and IEEE searches, but nearly nothing comes up referring to S-G integration or integrators. Am I using the wrong terms (or proper-nouns)?