Abstract

The parameters and equations for calculating uncertainty of chromaticity coordinates in spectrophotometric tristimulus colorimetry have already been derived for the 10°-field standard-observer system. From the variability data for eleven optical filters obtained from two methods of spectrophotometric tristimulus colorimetry, the standard-observer-system method and the actual-observer method, two sets of chromaticity uncertainty ellipses are derived and intercompared. The similarity between corresponding ellipses of these two sets leads to the following conclusion: the system-derived uncertainty ellipses, based on the variances and covariances of the spectral tristimulus values of the large-field standard-observer system, can be used to estimate observer-derived chromaticity-uncertainty ellipses.

The equations are the basis of the automatic-computer program and are used to compute uncertainty ellipses; they are given to aid anyone who wishes to arrange such a program in his laboratory. The fixed combinations of the spectral tristimulus values of their variances and covariances can be readily prepared by researchers who may wish to use desk calculators to compute uncertainty ellipses for actual-observer data or for standard-observer-system data, respectively.

© 1966 Optical Society of America

Propagation of Errors in Spectrophotometric Colorimetry

I. Nimeroff
J. Opt. Soc. Am. 43(6) 531-533 (1953)

Propagation of Errors in Tristimulus Colorimetry

Isadore Nimeroff
J. Opt. Soc. Am. 47(8) 697-702 (1957)

Variability of Spectral Tristimulus Values

I. Nimeroff, Joan R. Rosenblatt, and Mary C. Dannemiller
J. Opt. Soc. Am. 52(6) 685-691 (1962)

Photoelectric Tristimulus Colorimetry with Three Filters*

Richard S. Hunter
J. Opt. Soc. Am. 32(9) 509-538 (1942)

Disk Colorimetry; Including a Comparison of Methods for Computing Tristimulus Values for Certain Disks

Dorothy Nickerson
J. Opt. Soc. Am. 25(8) 253-257 (1935)