SpectralComposer.pov

//================================================================================
// POV-Ray spectral rendering composer V0.2
//
// Ive, September 2013
//
//================================================================================

#version 3.7;        

//================================================================================
//
// User settings:
// **************
//
// You'll have to set *FName* and then you can play around with the various user
// settings until the image looks fine to you. No need for antialiasing until you
// use "extreme" user settings.
//
// And make sure that +W +H does match the image dimension of the previously
// calculated spectral file set and also make sure that this file does not run as
// animation - happened to me all the time ;)
//
//================================================================================


// FName: change this to mach the name of your set of 36 spectral files
#declare FName = "ColorChecker";  
//#declare FName = "Prism";
//#declare FName = "Refraction";
//#declare FName = "Glass";
//#declare FName = "ColoredGlasses";
//#declare FName = "Ring";
//#declare FName = "IsoRings";
//#declare FName = "Gems";
//#declare FName = "Diamonds";


// Exposure: range: 0 .. 2.0+ / default: 1.0
// Change this to adjust for the global lighting condition.
// Set it to 1.0 to keep original lighting data (e.g. rendering the
// GretagMcbeth ColorChecker Chart).
#declare Exposure = 1.0; 


// Luminance: range: 0 .. 2.0+ / default: 1.0
// linear luminance channel within the CIE xyz color space 
// similar to Exposure but useful when Exponent != 1.0
#declare Luminance = 1.0;


// Exponent: range: 1.0 .. 2.0+ / default: 1.0
// Raise this above 1.0 to adjust for the non-linearity of human vision, photo-paper etc.
// Set it to 1.0 to keep original lighting data (e.g. rendering the
// GretagMacbeth ColorChecker Chart).
// But try it with e.g. 1.2 to give your image more depth.
#declare Exponent = 1.0;


// Saturation: range: -1.0 .. 2.0+ / default: 1.0
// Saturation = 0.0 will create an elegant monochrome image ;)
// 0 < Saturation < 1 will desaturate the image
// Saturation = 1 is the default normal saturation
// Saturation > 1 will over-saturate the image
// Saturation < 0 will create a photo negative
#declare Saturation = 1.0;


// Whitepoint: range: 4000 .. 9300 / default: 6504 (D65)
// Change the white balance to adapt to the global lighting condition.
#declare Whitepoint = 6504;   //6504;


// HDR_Max: range: 1.0 .. 100.0+ / default: 25 
// Change this to cover the full dynamic range when needed, otherwise
// values get clipped at HDR_max.
#declare HDR_max = 25;


// HDR_Min: range: -1.0 .. 0.0 / default: -1.0
// Cover out-of-gamut values.
#declare HDR_min = -1.0;


// AdobeRGB: on/off  default: off (sRGB)
// Change this only when you know what you are doing ;)
#declare Use_AdobeRGB = off;



//================================================================================
// Internal stuff, no need to touch anything below.
//================================================================================

global_settings { assumed_gamma 1 }

#include "CIE.inc" 

#debug "\n*****  Spectral Composer  *****\n"


//================================================================================
// sanity checks

#if (Exposure <= 0.0)
  #declare Exposure = 1.0;
  #warning "(Spectral Composer) Exposure should be greater than 0.0, set to default 1.0"
#end 

#if (Luminance <= 0.0)
  #declare Luminance = 1.0;
  #warning "(Spectral Composer) Luminance should be greater than 0.0, set to default 1.0"
#end 

#if (Exponent <= 0.0)
  #declare Exponent = 1.0;
  #warning "(Spectral Composer) Exponent should be greater than 0.0, set to default 1.0"
#end

#if (HDR_min > 0.0)
  #declare HDR_min = -1.0;
  #warning "(Spectral Composer) HDR_min should  be lower or equal than 0.0, set to 0.0"
#end 

#if (HDR_max < 1.0)
  #declare HDR_max = 1.0;
  #warning "(Spectral Composer) HDR_max should be greater or equal than 1.0, set to 1.0"
#end 


//================================================================================
// same output

#if (Use_AdobeRGB | (Whitepoint != 6504))

  #local WP = min(max(4000,Whitepoint),20000);
  
 #if (!Use_AdobeRGB)
  CIE_ColorSystemWhitepoint(sRGB_ColSys, Daylight2Whitepoint(WP))
  #debug "using sRGB primaries with whitepoint D "
 #else
  CIE_ColorSystemWhitepoint(Adobe_ColSys, Daylight2Whitepoint(WP))
  #debug "using AdobeRGB primaries with whitepoint D "
 #end 
 
 #debug str(WP,4,0) #debug "K"

#else
 #debug "using sRGB primaries with D65"
#end   

#debug "\n"        
#debug "Exposure:    " #debug str(Exposure,1,2)    #debug "\n"
#debug "Luminance:   " #debug str(Luminance,1,2)   #debug "\n"
#debug "Exponent:    " #debug str(Exponent,1,2)    #debug "\n"
#debug "Saturation:  " #debug str(Saturation,1,2)  #debug "\n"
#debug "Whitepoint:  " #debug str(Whitepoint,4,0)  #debug "K\n"
#debug "HDR minimum: " #debug str(HDR_min, 1,2)    #debug "\n"
#debug "HDR maximum: " #debug str(HDR_max, 1,2)    #debug "\n"

#debug "*******************************\n\n"


//================================================================================
// CMF

// array to hold the 36 pigment funtions representing the wavelengths from 
// 380nm to 730nm
#declare F = array[36];

// CIE color match 380nm to 730nm
#declare CMF = array[36][3];     

// the original spline from CIE.inc is only converted to an array to make
// the CMF functions below faster.
#for (I, 0, 35)
  #local W = 380 + I*10;

  #declare F[I] = function { pigment {image_map {exr concat(FName, str(I+38,0,0))} translate -0.5} }   
  
  #declare CMF[I][0] = CMF_xyz(W).x * 0.1;
  #declare CMF[I][1] = CMF_xyz(W).y * 0.1;
  #declare CMF[I][2] = CMF_xyz(W).z * 0.1;
#end


// color matching functions
// CMF for the CIE 1931 2°observer

#declare CMF_x = function { 
  CMF[0][0]  * F[0](x,y,z).red  + // 380       
  CMF[1][0]  * F[1](x,y,z).red  + // 390
  CMF[2][0]  * F[2](x,y,z).red  + // 400
  CMF[3][0]  * F[3](x,y,z).red  + // 410
  CMF[4][0]  * F[4](x,y,z).red  + // 420
  CMF[5][0]  * F[5](x,y,z).red  + // 430
  CMF[6][0]  * F[6](x,y,z).red  + // 440
  CMF[7][0]  * F[7](x,y,z).red  + // 450
  CMF[8][0]  * F[8](x,y,z).red  + // 460
  CMF[9][0]  * F[9](x,y,z).red  + // 470
  CMF[10][0] * F[10](x,y,z).red + // 480
  CMF[11][0] * F[11](x,y,z).red + // 490
  CMF[12][0] * F[12](x,y,z).red + // 500
  CMF[13][0] * F[13](x,y,z).red + // 510
  CMF[14][0] * F[14](x,y,z).red + // 520
  CMF[15][0] * F[15](x,y,z).red + // 530
  CMF[16][0] * F[16](x,y,z).red + // 540
  CMF[17][0] * F[17](x,y,z).red + // 550
  CMF[18][0] * F[18](x,y,z).red + // 560
  CMF[19][0] * F[19](x,y,z).red + // 570
  CMF[20][0] * F[20](x,y,z).red + // 580
  CMF[21][0] * F[21](x,y,z).red + // 590
  CMF[22][0] * F[22](x,y,z).red + // 600
  CMF[23][0] * F[23](x,y,z).red + // 610
  CMF[24][0] * F[24](x,y,z).red + // 620
  CMF[25][0] * F[25](x,y,z).red + // 630
  CMF[26][0] * F[26](x,y,z).red + // 640
  CMF[27][0] * F[27](x,y,z).red + // 650
  CMF[28][0] * F[28](x,y,z).red + // 660
  CMF[29][0] * F[29](x,y,z).red + // 670
  CMF[30][0] * F[30](x,y,z).red + // 680
  CMF[31][0] * F[31](x,y,z).red + // 690
  CMF[32][0] * F[32](x,y,z).red + // 700
  CMF[33][0] * F[33](x,y,z).red + // 710
  CMF[34][0] * F[34](x,y,z).red + // 720
  CMF[35][0] * F[35](x,y,z).red   // 730
}

#declare CMF_y = function { 
  CMF[0][1]  * F[0](x,y,z).red   + // 380
  CMF[1][1]  * F[1](x,y,z).red   + // 390
  CMF[2][1]  * F[2](x,y,z).red   + // 400
  CMF[3][1]  * F[3](x,y,z).red   + // 410
  CMF[4][1]  * F[4](x,y,z).red   + // 420
  CMF[5][1]  * F[5](x,y,z).red   + // 430
  CMF[6][1]  * F[6](x,y,z).red   + // 440
  CMF[7][1]  * F[7](x,y,z).red   + // 450
  CMF[8][1]  * F[8](x,y,z).red   + // 460
  CMF[9][1]  * F[9](x,y,z).red   + // 470
  CMF[10][1] * F[10](x,y,z).red  + // 480
  CMF[11][1] * F[11](x,y,z).red  + // 490
  CMF[12][1] * F[12](x,y,z).red  + // 500
  CMF[13][1] * F[13](x,y,z).red  + // 510
  CMF[14][1] * F[14](x,y,z).red  + // 520
  CMF[15][1] * F[15](x,y,z).red  + // 530
  CMF[16][1] * F[16](x,y,z).red  + // 540
  CMF[17][1] * F[17](x,y,z).red  + // 550
  CMF[18][1] * F[18](x,y,z).red  + // 560
  CMF[19][1] * F[19](x,y,z).red  + // 570
  CMF[20][1] * F[20](x,y,z).red  + // 580
  CMF[21][1] * F[21](x,y,z).red  + // 590
  CMF[22][1] * F[22](x,y,z).red  + // 600
  CMF[23][1] * F[23](x,y,z).red  + // 610
  CMF[24][1] * F[24](x,y,z).red  + // 620
  CMF[25][1] * F[25](x,y,z).red  + // 630
  CMF[26][1] * F[26](x,y,z).red  + // 640
  CMF[27][1] * F[27](x,y,z).red  + // 650
  CMF[28][1] * F[28](x,y,z).red  + // 660
  CMF[29][1] * F[29](x,y,z).red  + // 670
  CMF[30][1] * F[30](x,y,z).red  + // 680
  CMF[31][1] * F[31](x,y,z).red  + // 690
  CMF[32][1] * F[32](x,y,z).red  + // 700
  CMF[33][1] * F[33](x,y,z).red  + // 710
  CMF[34][1] * F[34](x,y,z).red  + // 720
  CMF[35][1] * F[35](x,y,z).red    // 730
}

#declare CMF_z = function {  
  CMF[0][2]  * F[0](x,y,z).red   + // 380
  CMF[1][2]  * F[1](x,y,z).red   + // 390
  CMF[2][2]  * F[2](x,y,z).red   + // 400
  CMF[3][2]  * F[3](x,y,z).red   + // 410
  CMF[4][2]  * F[4](x,y,z).red   + // 420
  CMF[5][2]  * F[5](x,y,z).red   + // 430
  CMF[6][2]  * F[6](x,y,z).red   + // 440
  CMF[7][2]  * F[7](x,y,z).red   + // 450
  CMF[8][2]  * F[8](x,y,z).red   + // 460
  CMF[9][2]  * F[9](x,y,z).red   + // 470
  CMF[10][2] * F[10](x,y,z).red  + // 480
  CMF[11][2] * F[11](x,y,z).red  + // 490
  CMF[12][2] * F[12](x,y,z).red  + // 500
  CMF[13][2] * F[13](x,y,z).red  + // 510
  CMF[14][2] * F[14](x,y,z).red  + // 520
  CMF[15][2] * F[15](x,y,z).red  + // 530
  CMF[16][2] * F[16](x,y,z).red  + // 540
  CMF[17][2] * F[17](x,y,z).red  + // 550
  CMF[18][2] * F[18](x,y,z).red  + // 560
  CMF[19][2] * F[19](x,y,z).red  + // 570
  CMF[20][2] * F[20](x,y,z).red  + // 580
  CMF[21][2] * F[21](x,y,z).red  + // 590
  CMF[22][2] * F[22](x,y,z).red  + // 600
  CMF[23][2] * F[23](x,y,z).red  + // 610
  CMF[24][2] * F[24](x,y,z).red  + // 620
  CMF[25][2] * F[25](x,y,z).red  + // 630
  CMF[26][2] * F[26](x,y,z).red    // 640 
                                   // 650 and above is 0.0
} 

// as the input images are grayscale the used color channel does not matter.
// "red" was just shorter to type than "green" or "blue"


//================================================================================
// pigment calculation

#local H = HDR_max * 3;  // * 3 to adjust for the average map
#local L = HDR_min * 3;
#local E = Exposure / (HDR_max-HDR_min);
#local M = -HDR_min / (HDR_max-HDR_min);
#local Y = Luminance;

#local RL = 0.3086;
#local GL = 0.6094;
#local BL = 0.0820;


#local ColorProcessMat = array[3][3] {  
  {((1.0-Saturation)*RL+Saturation)*Y, (1.0-Saturation)*GL,               (1.0-Saturation)*BL},
  { (1.0-Saturation)*RL,              ((1.0-Saturation)*GL+Saturation)*Y, (1.0-Saturation)*BL},
  { (1.0-Saturation)*RL,               (1.0-Saturation)*GL,              ((1.0-Saturation)*BL+Saturation)*Y}
}


// csMatRGB has already been calculated by CIE.inc. Multiplication with the color
// processing matrix from above gives the final xyz -> rgb color conversion matrix.
#local CM = MultMat33(ColorProcessMat,csMatRGB) 


// The exponent function (for Exponent > 1.0) is composed of two functions (linear and a power function)
// as otherwise out-of-gamut values would be shifted in an unwanted non-linear way making them de facto
// useless.
// For an Exponent of 2.4 this is close to the sRGB transfer function but without its notorious discontinuity
// at the junction point. This is important as we are dealing with floating point precision here and the
// exported image might very well support more than 8bit/channel!

#if (Exponent > 1)

  #local Limit = 0.055 * ((Exponent-0.8) / 1.6);
  
  // junction point
  #local K = Limit / (Exponent - 1);

  // calculate the tangent
  #local Delta = (pow(Limit, Exponent-1) * pow(Exponent, Exponent)) /
                 (pow(1+Limit, Exponent) * pow(Exponent-1, Exponent-1));
                 

  // transfer function
  #local npow = function(x) { select (x-K, x*Delta, pow((x+Limit)/(1+Limit), Exponent) ) }
  

#elseif (Exponent < 1) 

  #local npow = function(x) { pow(x, Exponent) }

#else

  #local npow = function(x) {x}

#end


// our canvas
plane {-z, 0

  pigment {
    average

    pigment_map {

      [function { min(max( npow(CM[0][0]*CMF_x(x,y,z) + CM[0][1]*CMF_y(x,y,z) + CM[0][2]*CMF_z(x,y,z)) * E + M, 0), 1)}
        color_map { [0 rgb <L,0,0>] [1 rgb <H,0,0>] }
      ]

      [function { min(max( npow(CM[1][0]*CMF_x(x,y,z) + CM[1][1]*CMF_y(x,y,z) + CM[1][2]*CMF_z(x,y,z)) * E + M, 0), 1)}
        color_map { [0 rgb <0,L,0>] [1 rgb <0,H,0>] }
      ]

      [function { min(max( npow(CM[2][0]*CMF_x(x,y,z) + CM[2][1]*CMF_y(x,y,z) + CM[2][2]*CMF_z(x,y,z)) * E + M, 0), 1)}
        color_map { [0 rgb <0,0,L>] [1 rgb <0,0,H>] }  
      ]

    }

  }

  finish {ambient 1 diffuse 0}
} 


//================================================================================
// orthographic camera

camera {
  orthographic
  location -z
  look_at  0
  right x
  up    y
}


//================================================================================
//
// TODO LIST: (in no particular order)
// **********
//
// A wavelength depended filter multiplied with the CMF for simulating a color
// filter in front of the camera lens could be useful.
//
// Implement a "knee" function to dampen values close and above 1.0 - similar to
// the implementation of the Cineon format for simulating the chemical behaviour
// of  Kodak (RIP) 35mm negative film. This is also recommended by ILM when
// mapping OpenEXR to LDR image formats.
//                              
// In general *some* gamut mapping function instead of just brain dead clipping.
//
// Make the spectral calculation almost 3 times faster by calculating 3 sequential
// wavelength at once by using the 3 rgb color channels.
//
//================================================================================