A method of using apparatus for deriving an output signal useful in the control of a machine direction or cross direction characteristic of a traveling sheet, said apparatus comprising first means for measuring a property of the sheet related to the characteristic at a plurality of locations across the sheet, second means for storing signals, third means responsive to signals, and fourth means responsive to signals, comprising the steps of said first means deriving a first signal indicative of the property at each of a plurality of discrete, spaced cross sheet points, said second means storing a second signal indicative of a predetermined mathematical expression relating values of the property to cross direction location, said third means responding to the first and second signals for deriving a third signal representing a continuous, analytic equation that approximates the values of the property as a function of cross direction location substantially across the entire sheet width, said fourth means responding to the signal representing the equation for integrating the signal over a cross direction interval of the sheet to derive the output signal.