  In the case of some fractals, sampling with average values on cells is more
natural than sampling on points. In this paper we investigate this method of
sampling on $SG$ and $SG_{3}$. In the former, we show that the cell graph
approximations have the spectral decimation property and prove an analog of the
Shannon sampling theorem.. We also investigate the numerical properties of
these sampling functions and make conjectures which allow us to look at
sampling on infinite blowups of $SG$. In the case of $SG_{3}$, we show that the
cell graphs have the spectral decimation property, but show that it is not
useful for proving an analogous sampling theorem.
