The theory underlying parameric decomposition using a Cohen‐Kappauf algorithm is explained. The decomposition is utilized to correct parameric color differences to metameric differences in order that indices of metamerism may be calculated from conventional formulae. The implications of the decomposition on the definitions of metamerism and of paramerism are discussed, and a physical realization of the fundamental stimulus is offered.
In 1993, the American Societyfor Testing and Materials carried out a field test of newly calculated tristimulus weighting~factors. These weighting factors had been calculated by a method proposed by Venable. The test also included a method cfcorrection f o r bandpass dependence put fbrth by Stearns. The purpose of the trial was to assess the possible reduction in bandpass dependence introduced by each of these sets of weights. A large number of sets of spectral data were gathered from the cooperators in thejeld test. Results cf integration by the various sets of tristimulus weighting,factot-s were calculated. A total of15 120 color dij%rences were calculated and statistics were derived to test the probable error resulting from each method ofcorrection. Errors attributable to bandpass dependence were on the order ifa.few tenths to as much as one CIELAB unit when uncorrected weight sets were used. These errors could be reduced to a.few hundreths of a CIELAB unit, and in some cases to a few thousandths of a unit, by employing one correcting strategy or the other. An overall mix ofstrategies was ultimately chosen to minimize the bandpass dependence over the entire range of weight sets. Utilizing this mixed strategy, the median error introduced into 10-nm integration by bandpuss dependence was only 0.004 CIELAB units. o 1995 .Idin Wiley & Sons. Inc.
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