The disclosed method may include (1) receiving an input datum to be processed using a non-linear function to produce an output datum, (2) comparing the input datum to a plurality of indexes of a lookup table, where the indexes designate input endpoints of a plurality of piecewise-linear sections approximating the non-linear functions, and where the lookup table further includes, for each of the indexes (a) a slope of the piecewise-linear section corresponding to the index, and (b) an axis intercept of the piecewise-linear section corresponding to the index (2) selecting, based on comparing the input datum to the plurality of indexes, an index that designates the piecewise-linear section associated with the input datum, and (4) calculating, using the slope and the axis intercept corresponding to the selected index, the output data corresponding to the input datum. Video processing systems employing such a method are also disclosed.