1、raising standards worldwideNO COPYING WITHOUT BSI PERMISSION EXCEPT AS PERMITTED BY COPYRIGHT LAWBSI Standards PublicationBS ISO 11664-3:2012ColorimetryPart 3: CIE tristimulus valuesBS EN ISO 11664-3:2013BS EN ISO 11664-3:2013 BRITISH STANDARDNational forewordThis British Standard is the UK implemen
2、tation of EN ISO 11664-3:2013. It is identical to ISO 11664-3:2012. It supersedes BS ISO 11664-3:2012, which is withdrawn.The UK participation in its preparation was entrusted to Technical Committee STI/14, Colour measurement and schedules.A list of organizations represented on this committee can be
3、 obtained on request to its secretary.This publication does not purport to include all the necessary provisions of a contract. Users are responsible for its correct application. The British Standards Institution 2013. Published by BSI Standards Limited 2013ISBN 978 0 580 80560 8ICS 17.180.20Complian
4、ce with a British Standard cannot confer immunity from legal obligations.This British Standard was published under the authority of the Standards Policy and Strategy Committee on 30 June 2012.Amendments/corrigenda issued since publicationDate Text affected30 June 2013 This corrigendum renumbers BS I
5、SO 11664-3:2012 as BS EN ISO 11664-3:2013EUROPEAN STANDARD NORME EUROPENNE EUROPISCHE NORM EN ISO 11664-3 May 2013 ICS 17.180.20 English Version Colorimetry - Part 3: CIE tristimulus values (ISO 11664-3:2012) Colorimtrie - Partie 3: Composantes trichromatiques CIE (ISO 11664-3:2012) Farbmetrik - Tei
6、l 3: CIE-Farbwerte (ISO 11664-3:2012) This European Standard was approved by CEN on 16 May 2013. CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this European Standard the status of a national standard without any alteration. Up-to-
7、date lists and bibliographical references concerning such national standards may be obtained on application to the CEN-CENELEC Management Centre or to any CEN member. This European Standard exists in three official versions (English, French, German). A version in any other language made by translati
8、on under the responsibility of a CEN member into its own language and notified to the CEN-CENELEC Management Centre has the same status as the official versions. CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, F
9、ormer Yugoslav Republic of Macedonia, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and United Kingdom. EUROPEAN COMMITTEE FOR STANDARDIZATION COM
10、IT EUROPEN DE NORMALISATION EUROPISCHES KOMITEE FR NORMUNG Management Centre: Avenue Marnix 17, B-1000 Brussels 2013 CEN All rights of exploitation in any form and by any means reserved worldwide for CEN national Members. Ref. No. EN ISO 11664-3:2013: EEN ISO 11664-3:2013 (E) 3 Foreword The text of
11、ISO 11664-3:2012 has been prepared by “CIE International Commission on Illumination” of the International Organization for Standardization (ISO) and has been taken over as EN ISO 11664-3:2013 by Technical Committee CEN/TC 139 “Paints and varnishes” the secretariat of which is held by DIN. This Europ
12、ean Standard shall be given the status of a national standard, either by publication of an identical text or by endorsement, at the latest by November 2013, and conflicting national standards shall be withdrawn at the latest by November 2013. Attention is drawn to the possibility that some of the el
13、ements of this document may be the subject of patent rights. CEN and/or CENELEC shall not be held responsible for identifying any or all such patent rights. According to the CEN-CENELEC Internal Regulations, the national standards organizations of the following countries are bound to implement this
14、European Standard: Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, Former Yugoslav Republic of Macedonia, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia,
15、 Slovenia, Spain, Sweden, Switzerland, Turkey and the United Kingdom. Endorsement notice The text of ISO 11664-3:2012 has been approved by CEN as EN ISO 11664-3:2013 without any modification. iiBS EN ISO 11664-3:2013EN ISO 11664-3:2012(E)BS ISO 11664-3:2012ISO 11664-3:201(E) CIE S 014-3/E:2011 viii
16、CIE 2011 All rights reserved ISO 201 All rights reservedCONTENTS Foreword Introduction 1 1 Scope 1 2 Normative References 1 3 Definitions, Symbols and Abbreviations 1 4 Standard Method 3 4.1 Calculation of Tristimulus Values . 3 4.2 Normalizing Constant for Self-Luminous Light Sources 4 4.3 Normaliz
17、ing Constant for Reflecting or Transmitting Objects 4 4.4 CIE 1964 Standard Colorimetric System 4 5 Abridged Methods 5 5.1 Abridged Method for 5 nm Data . 5 5.2 Abridged Method for 10 nm or 20 nm Data for Reflecting or Transmitting Objects . 5 5.3 Abridged Method for 10 nm or 20 nm Data for Self-Lum
18、inous Light Sources . 6 6 Supplementary Treatment of Input Data 6 6.1 Extrapolation . 6 6.2 Interpolation 7 6.3 Bandwidth . 7 7 Chromaticity Coordinates . 7 8 Numerical Procedures 8 9 Presentation of Results 8 Bibliography . 9 viiBS ISO 11664-3:2012ISO 11664-3:201(E) CIE S 014-3/E:2011 viii CIE 2011
19、 All rights reserved ISO 201 All rights reservedCONTENTS Foreword Introduction 1 1 Scope 1 2 Normative References 1 3 Definitions, Symbols and Abbreviations 1 4 Standard Method 3 4.1 Calculation of Tristimulus Values . 3 4.2 Normalizing Constant for Self-Luminous Light Sources 4 4.3 Normalizing Cons
20、tant for Reflecting or Transmitting Objects 4 4.4 CIE 1964 Standard Colorimetric System 4 5 Abridged Methods 5 5.1 Abridged Method for 5 nm Data . 5 5.2 Abridged Method for 10 nm or 20 nm Data for Reflecting or Transmitting Objects . 5 5.3 Abridged Method for 10 nm or 20 nm Data for Self-Luminous Li
21、ght Sources . 6 6 Supplementary Treatment of Input Data 6 6.1 Extrapolation . 6 6.2 Interpolation 7 6.3 Bandwidth . 7 7 Chromaticity Coordinates . 7 8 Numerical Procedures 8 9 Presentation of Results 8 Bibliography . 9 viiBS EN ISO 11664-3:2013ISO 11664-3:2012(E)iii CIE 2011 All rights reserved ISO
22、2012 All rights reserved BS EN ISO 11664-3:2013ISO 11664-3:2012(E)iv CIE 2011 All rights reserved ISO 2012 All rights reserved BS ISO 11664-3:2012ISO 11664-3:201(E) CIE S 014-3/E:2011 CIE 2011 All rights reserved ISO 201 All rights reserved 1Colorimetry - Part 3: CIE Tristimulus Values Introduction
23、Colour stimuli with different spectral distributions can look alike. An important function of colorimetry is to determine which stimuli look alike to a given observer with a given set of colour-matching functions. This is done by calculating a set of three tristimulus values for each stimulus. Equal
24、ity of tristimulus values indicates equality of colour appearance under equal irradiation and viewing conditions. This Standard is based on long-standing CIE recommendations (CIE, 2004) for the calculation of tristimulus values. 1 Scope This CIE Standard specifies methods of calculating the tristimu
25、lus values of colour stimuli for which the spectral distributions are provided. These colour stimuli may be produced by self-luminous light sources or by reflecting or transmitting objects. The Standard requires that the colour stimulus function be tabulated at measurement intervals of 5 nm or less
26、in a wavelength range of at least 380 nm to 780 nm. Extrapolation methods are suggested for cases where the measured wavelength range is less than 380 nm to 780 nm. The standard method is defined as summation at 1 nm intervals over the wavelength range from 360 nm to 830 nm. Alternative abridged met
27、hods are defined for larger intervals (up to 5 nm) and shorter ranges (down to 380 nm to 780 nm). The alternative methods are to be used only when appropriate and when the user has reviewed the impact on the final results. The Standard may be used in conjunction with the CIE 1931 standard colorimetr
28、ic observer or the CIE 1964 standard colorimetric observer. 2 Normative References The following referenced documents are indispensable for the application of this document. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (i
29、ncluding any amendments) applies. CIE DS 017.2/E:2009. ILV: International Lighting Vocabulary. ISO 11664-1:2007(E)/CIE S 014-1/E:2006. Joint ISO/CIE Standard: Colorimetry Part 1. CIE Standard Colorimetric Observers. ISO 11664-2:2007(E)/CIE S 014-2/E:2006. Joint ISO/CIE Standard: Colorimetry Part 2.
30、CIE Standard Illuminants. ISO 23539:2005(E)/CIE S 010/E:2004. Joint ISO/CIE Standard: Photometry - The CIE System of Physical Photometry. 3 Definitions, Symbols and Abbreviations For the purposes of this International Standard, the terms and definitions given in CIE DS 017.2/E:2009 (International Li
31、ghting Vocabulary), and the following symbols and abbreviations apply. k, k10normalizing constants Kmmaximum spectral luminous efficacy of radiation in the CIE standard system of physical photometry BS EN ISO 11664-3:2013ISO 11664-3:2012(E)1 CIE 2011 All rights reserved ISO 2012 All rights reserved
32、BS ISO 11664-3:2012ISO 11664-3:201(E) CIE S 014-3/E:2011 2 CIE 2011 All rights reserved ISO 201 All rights reservedKm,10maximum spectral luminous efficacy of radiation when the V10() function is used for photometry R() spectral reflectance factor S() relative spectral distribution of an illuminant V
33、() spectral luminous efficiency function in the CIE standard system of physical photometry V10() spectral luminous efficiency function when the )(10y function is used for photometry Wx(), Wy(), Wz() pre-calculated weighting functions for tristimulus integration using the CIE 1931 standard colorimetr
34、ic observer Wx,10(), Wy,10(), Wz,10() pre-calculated weighting functions for tristimulus integration using the CIE 1964 standard colorimetric observer x, y, z chromaticity coordinates calculated using the CIE 1931 standard colorimetric observer x10, y10, z10chromaticity coordinates calculated using
35、the CIE 1964 standard colorimetric observer (), (), ()xyz colour-matching functions of the CIE 1931 standard colorimetric observer (also known as the CIE 2 standard colorimetric observer) 10 10 10(), (), ()xyz colour-matching functions of the CIE 1964 standard colorimetric observer (also known as th
36、e CIE 10 standard colorimetric observer) X, Y, Z tristimulus values calculated using the CIE 1931 standard colorimetric observer X10, Y10, Z10tristimulus values calculated using the CIE 1964 standard colorimetric observer () spectral radiance factor wavelength interval () colour stimulus function (d
37、escription of a colour stimulus by the spectral concentration of a radiometric quantity, such as radiance or radiant power, as a function of wavelength) () relative colour stimulus function (relative spectral distribution of the colour stimulus function) wavelength () spectral reflectance () spectra
38、l transmittance BS EN ISO 11664-3:2013ISO 11664-3:2012(E) CIE 2011 All rights reserved ISO 2012 All rights reserved BS ISO 11664-3:2012ISO 11664-3:201(E) CIE S 014-3/E:2011 CIE 2011 All rights reserved ISO 201 All rights reserved 34 Standard Method The Standard may be used in conjunction with the CI
39、E 1931 standard colorimetric observer or the CIE 1964 standard colorimetric observer. If the angle subtended at the eye by the colour stimulus (or fields to be matched in colour) is between about 1 and 4 the CIE 1931 standard colorimetric observer shall be used. If this angular subtense is greater t
40、han 4 the CIE 1964 standard colorimetric observer shall be used. The same colorimetric observer shall be used for all stimuli to be compared with each other. 4.1 Calculation of Tristimulus Values In the CIE 1931 standard colorimetric system, tristimulus values X, Y and Z are defined as integrals ove
41、r the spectral range 360 nm to 830 nm according to the equations: Xk xYk yZk z ddd()()() ()()()(1) where () is the colour stimulus function to be evaluated; xyz(),(), () are the colour-matching functions of the CIE 1931 standard colorimetric observer; and k is a normalizing constant defined below. T
42、he standard method for evaluating these integrals is numerical summation from 360 nm to 830 nm at wavelength intervals, , equal to 1 nm according to the equations: Xk xYk yZk z ()()() ()()()(2) using colour-matching functions (),(),()xyzdefined with 7 significant figures in ISO 11664-1:2007(E)/CIE S
43、 014-1/E:2006 and a colour stimulus function, (), measured using a symmetrical triangular or trapezoidal bandpass with a halfwidth equal to 1 nm. Tristimulus values are often evaluated on a relative basis. In such cases the relative colour stimulus function, (), may be used instead of the colour sti
44、mulus function, (). It is essential that, for stimuli that will be considered together, all the spectral distributions involved be assessed on the same relative basis. The tristimulus values obtained are then relative in the sense that all the values involved may be multiplied by the same single arb
45、itrary constant, k. In certain cases, however, k shall be chosen according to agreed conventions; these conventions are explained in 4.2 and 4.3. NOTE The wavelength range of 360 nm to 830 nm is in accordance with established CIE practice (ISO 11664-1:2007(E)/CIE S 014-1/E:2006 and CIE, 2004). Claus
46、e 5 of this Standard specifies abridged methods that may be used when data are not available over the full range of 360 nm to 830 nm at 1 nm intervals. BS EN ISO 11664-3:2013ISO 11664-3:2012(E)3 CIE 2011 All rights reserved ISO 2012 All rights reserved BS ISO 11664-3:2012ISO 11664-3:201(E) CIE S 014
47、-3/E:2011 4 CIE 2011 All rights reserved ISO 201 All rights reserved4.2 Normalizing Constant for Self-Luminous Light Sources For self-luminous objects, the normalizing constant, k, is usually chosen on the grounds of convenience. If, however, in the CIE 1931 standard colorimetric system, the Y value is required to be numerically equal to the absolute value of a photopic photometric quantity, () shall be the spectral concentration of the radiometric quantity corresponding to the photometric quantity required, and the constant, k, shall be set equal to 683 lmW-1which
