The Evaluation of Colorimetric Tristimulus Values by Means of a New Centroid Method*

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Abstract
A new semigraphical method of integration which is peculiarly suited to the evaluation of certain integrals which appear with great frequency in color specification work is introduced and discussed. Previous integration methods either require the use of special equipment or are extremely laborious and time consuming especially if the thirty ordinate or 100 ordinate methods are used. The present method usually reduces the number of ordinates to 8 and allows the use of either 4, 2, or even one ordinate in certain calculations. For essentially linear reflectance curves the tristimulus values can be read from the spectrophotometric curve directly. The saving in time is marked: The accuracy is sufficient for most industrial purposes.

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