function D = MunsellValueToDmaxOrDmin(MunsellValue);
% Purpose Convert a Munsell value to a printer Dmax or Dmin value
%
% Description A printer, given a fixed inkset, paper, and method of printing,
% can produce a darkest black and a lightest white (this white is
% usually the white of the paper). Dmax is commonly used to
% quantify the deepest black that a printer can produce, while
% Dmin quantifies the brightest white it can produce. White and
% black can seen be as extremes of shades of grey. The darkness or
% lightness of a grey can be expressed as a reflectance factor: the grey
% will reflect back a certain percentage of an illuminating light.
%
% The percentage of light reflected back by an arbitrary surface
% colour can vary with the wavelength of the light. The reflectance (or luminance)
% factor must then be calculated with respect to the photopic luminous
% efficiency function (CIE Y), and will vary with the spectral power
% density (SPD) of the illuminating light. An ideal
% grey is a sample colour that reflects the same percentage
% of light, regardless of the wavelength of that light. In that case,
% the reflectance factor can be defined unambiguously to be that
% percentage, regardless of the SPD of the illuminant. In practice,
% the assumption of an ideal grey is accurate enough for printer applications,
% and Dmax and Dmin calculations make that assumption.
%
% The D value for an ideal grey is given by the expression
%
% 10^(-D) = (reflectance factor)/100,
%
% where the reflectance factor is a percentage between 0 and 100.
% Dmax is the maximum value of D that a printer (actually a
% printer-inkset-paper combination) can produce, so it defines
% the darkness of the darkest black. Similarly, Dmin is the minimum
% value of D that a printer can produce, so it defines the lightness
% of the brightest white.
%
% The Munsell value is a perceptual measure of how light or dark a
% surface colour is. It is an invertible function of the reflectance
% factor of that colour. Munsell value varies from 0 to 10, and is
% higher for lighter colours. A Munsell value of 0 corresponds to an
% absolute black (which reflects no light, of any wavelength). A
% Munsell value of 10 corresponds to an absolute white (which diffusely
% reflects 100% of every wavelength).
%
% Since the D value and the Munsell value are both functions of the
% reflectance factor, it is possible to convert between them, which this
% routine does.
%
% [ASTMD1535-08] ASTM, Standard D 1535-08, "Standard Practice for Specifying Color by the
% Munsell System," approved January 1, 2008.
%
% Syntax D = MunsellValueToDmaxOrDmin(MunsellValue);
%
% D The D value of a printed black or white. Usually,
% one is only interested in the maximum (Dmax) or
% minimum (Dmin) D.
%
% MunsellValue The Munsell value of a printed black or white.
%
% Related DmaxOrDminToMunsellValue
% Functions
%
% Required MunsellValueToLuminanceFactor
% Functions
%
% Author Paul Centore (July 14, 2012)
%
% Copyright 2012 Paul Centore
%
% This file is part of MunsellAndKubelkaMunkToolbox.
%
% MunsellAndKubelkaMunkToolbox is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
%
% MunsellAndKubelkaMunkToolbox is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with MunsellAndKubelkaMunkToolbox. If not, see .
LuminanceFactorStruct = MunsellValueToLuminanceFactor(MunsellValue) ;
% This routine returns a structure with different possible luminance factors. Use the
% one specified by the standard [ASTM D1535-08].
LuminanceFactor = LuminanceFactorStruct.ASTMD153508 ;
D = -log10(LuminanceFactor/100) ;