Standard Practice for Computing the Colors of Objects by Using the CIE System

SCOPE
1.1 This practice provides the values and practical computation procedures needed to obtain CIE tristimulus values from spectral reflectance, transmittance, or radiance data for object-color specimens.
1.2 Procedures and tables of standard values are given for computing from spectral measurements the CIE tristimulus values X, Y, Z, and chromaticity coordinates x, y for the CIE 1931 standard observer and X10, Y10, Z 10 and x10. y10 for the CIE 1964 supplementary standard observer.
1.3 Standard values are included for the spectral power of six CIE standard illuminants and three CIE recommended fluorescent illuminants.
1.4 Procedures are included for cases in which data are available only in more limited wavelength ranges than those recommended, or for a measurement interval wider than that recommended by the CIE. This practice is applicable to spectral data obtained according to Practice E 1164 with 1-, 5-, 10-, or 20-nm measurement interval.
1.5 Procedures are included for cases in which the spectral data are, and those in which they are not, corrected for bandpass dependence. For the uncorrected cases, it is assumed that the spectral bandpass of the instrument used to obtain the data was approximately equal to the measurement interval and was triangular in shape. These choices are believed to correspond to the most widely used industrial practice.
1.6 This practice includes procedures for conversion of results to color spaces that are part of the CIE system, such as CIELAB and CIELUV (3). Equations for calculating color differences in these and other systems are given in Test Method D 2244.
1.7 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety and health practices and determine the applicability of regulatory limitations prior to use.

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Historical
Publication Date
09-Aug-2001
Current Stage
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NOTICE: This standard has either been superseded and replaced by a new version or discontinued.
Contact ASTM International (www.astm.org) for the latest information.
Designation: E 308 – 99
Standard Practice for
1
Computing the Colors of Objects by Using the CIE System
This standard is issued under the fixed designation E 308; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A
superscript epsilon (e) indicates an editorial change since the last revision or reapproval.
This standard has been approved for use by agencies of the Department of Defense.
INTRODUCTION
Standard tables (Tables 1-4) of color matching functions and illuminant spectral power distributions
have since 1931 been defined by the CIE, but the CIE has eschewed the role of preparing tables of
tristimulus weighting factors for the convenient calculation of tristimulus values. There have
subsequently appeared numerous compilations of tristimulus weighting factors in the literature with
disparity of data resulting from, for example, different selections of wavelength intervals and methods
2
of truncating abbreviated wavelength ranges. In 1970, Foster et al. (1) proposed conventions to
standardize these two features, and Stearns (2) published a more complete set of tables. Stearns’ work
and later publications such as the 1985 revision of E 308 have greatly reduced the substantial
variations in methods for tristimulus computation that existed several decades ago.
The disparities among earlier tables were largely caused by the introduction of computations based
on 20-nm wavelength intervals. With the increasing precision of modern instruments, there is a
likelihood of a need for tables for narrower wavelength intervals. Stearns’ tables, based on a 10-nm
interval, did not allow the derivation of consistent tables with wavelength intervals less than 10 nm.
The 1-nm table must be designated the basic table if others with greater wavelength intervals are to
have the same white point, and this was the reason for the 1985 revision of E308, resulting in tables
that are included in the present revision as Tables 5.
The 1994 revision was made in order to introduce to the user a method of reducing the dependence
of the computed tristimulus values on the bandpass of the measuring instrument, using methods that
are detailed in this practice. These changes, however, lead to tables (Tables 6 in this practice) that are
substantially different from the Tables 5 that have been in use since 1985. There is accordingly a
danger, if the new tables are introduced but not universally adopted, that there may again be, perhaps
for several decades, a significant disparity among the tables of tristimulus weighting factors commonly
used. It is highly desirable that this should be avoided.
1. Scope six CIE standard illuminants and three CIE recommended
fluorescent illuminants.
1.1 This practice provides the values and practical compu-
1.4 Procedures are included for cases in which data are
tation procedures needed to obtain CIE tristimulus values from
available only in more limited wavelength ranges than those
spectral reflectance, transmittance, or radiance data for object-
recommended, or for a measurement interval wider than that
color specimens.
recommended by the CIE. This practice is applicable to
1.2 Procedures and tables of standard values are given for
spectral data obtained according to Practice E 1164 with 1-, 5-,
computing from spectral measurements the CIE tristimulus
10-, or 20-nm measurement interval.
values X, Y, Z, and chromaticity coordinates x, y for the CIE
1.5 Procedures are included for cases in which the spectral
1931 standard observer and X ,Y ,Z and x .y for the
10 10 10 10 10
data are, and those in which they are not, corrected for
CIE 1964 supplementary standard observer.
bandpass dependence. For the uncorrected cases, it is assumed
1.3 Standard values are included for the spectral power of
that the spectral bandpass of the instrument used to obtain the
data was approximately equal to the measurement interval and
1
This practice is under the jurisdiction of ASTM Committee E-12 on Color and
was triangular in shape. These choices are believed to corre-
Appearanceand is the direct responsibility of Subcommittee E12.04 on Color and
spond to the most widely used industrial practice.
Appearance Analysis.
Current edition approved June 10, 1999. Published October 1999. Originally 1.6 This practice includes procedures for conversion of
published as E 308 – 66. Last previous edition E 308 – 96.
results to color spaces that are part of the CIE system, such as
2
The boldface numbers in parentheses refer to the list of references at the end of
CIELAB and CIELUV (3). Equations for calculating color
this practice.
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