This paper compares the original implementation of the trilateral filter with two proposed speed improvements. One is using simple look-up-tables, and leads to exactly the same results as the original filter. The other technique is using a novel way of truncating the look-up-table to a user specified required accuracy. Here, results differ from those of the original filter, but to a very minor extent. The paper shows that measured speed improvements of this second technique are in the order of several magnitudes, compared to the original or LUT trilateral filter.