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// ==========================================================
// Tone mapping operator (Drago, 2003)
//
// Design and implementation by
// - Hervé Drolon (drolon@infonie.fr)
//
// This file is part of FreeImage 3
//
// COVERED CODE IS PROVIDED UNDER THIS LICENSE ON AN "AS IS" BASIS, WITHOUT WARRANTY
// OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, WITHOUT LIMITATION, WARRANTIES
// THAT THE COVERED CODE IS FREE OF DEFECTS, MERCHANTABLE, FIT FOR A PARTICULAR PURPOSE
// OR NON-INFRINGING. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE COVERED
// CODE IS WITH YOU. SHOULD ANY COVERED CODE PROVE DEFECTIVE IN ANY RESPECT, YOU (NOT
// THE INITIAL DEVELOPER OR ANY OTHER CONTRIBUTOR) ASSUME THE COST OF ANY NECESSARY
// SERVICING, REPAIR OR CORRECTION. THIS DISCLAIMER OF WARRANTY CONSTITUTES AN ESSENTIAL
// PART OF THIS LICENSE. NO USE OF ANY COVERED CODE IS AUTHORIZED HEREUNDER EXCEPT UNDER
// THIS DISCLAIMER.
//
// Use at your own risk!
// ==========================================================
#include <cmath>
#include "FreeImage.h"
#include "Utilities.h"
#include "ToneMapping.h"
// ----------------------------------------------------------
// Logarithmic mapping operator
// Reference:
// [1] F. Drago, K. Myszkowski, T. Annen, and N. Chiba,
// Adaptive Logarithmic Mapping for Displaying High Contrast Scenes,
// Eurographics 2003.
// ----------------------------------------------------------
/**
Bias function
*/
static inline double
biasFunction(const double b, const double x) {
return pow (x, b); // pow(x, log(bias)/log(0.5)
}
/**
Padé approximation of log(x + 1)
x(6+x)/(6+4x) good if x < 1
x*(6 + 0.7662x)/(5.9897 + 3.7658x) between 1 and 2
See http://www.nezumi.demon.co.uk/consult/logx.htm
*/
static inline double
pade_log(const double x) {
if(x < 1) {
return (x * (6 + x) / (6 + 4 * x));
} else if(x < 2) {
return (x * (6 + 0.7662 * x) / (5.9897 + 3.7658 * x));
}
return log(x + 1);
}
/**
Log mapping operator
@param dib Input / Output Yxy image
@param maxLum Maximum luminance
@param avgLum Average luminance (world adaptation luminance)
@param biasParam Bias parameter (a zero value default to 0.85)
@param exposure Exposure parameter (default to 0)
@return Returns TRUE if successful, returns FALSE otherwise
*/
static BOOL
ToneMappingDrago03(FIBITMAP *dib, const float maxLum, const float avgLum, float biasParam, const float exposure) {
const float LOG05 = -0.693147F; // log(0.5)
double Lmax, divider, interpol, biasP;
unsigned x, y;
double L;
if(FreeImage_GetImageType(dib) != FIT_RGBF)
return FALSE;
const unsigned width = FreeImage_GetWidth(dib);
const unsigned height = FreeImage_GetHeight(dib);
const unsigned pitch = FreeImage_GetPitch(dib);
// arbitrary Bias Parameter
if(biasParam == 0)
biasParam = 0.85F;
// normalize maximum luminance by average luminance
Lmax = maxLum / avgLum;
divider = log10(Lmax+1);
biasP = std::log(biasParam) / LOG05;
#if !defined(DRAGO03_FAST)
/**
Normal tone mapping of every pixel
further acceleration is obtained by a Padé approximation of log(x + 1)
*/
BYTE *bits = (BYTE*)FreeImage_GetBits(dib);
for(y = 0; y < height; y++) {
FIRGBF *pixel = (FIRGBF*)bits;
for(x = 0; x < width; x++) {
double Yw = pixel[x].red / avgLum;
Yw *= exposure;
interpol = log(2 + biasFunction(biasP, Yw / Lmax) * 8);
L = pade_log(Yw);// log(Yw + 1)
pixel[x].red = (float)((L / interpol) / divider);
}
// next line
bits += pitch;
}
#else
unsigned index;
int i, j;
unsigned max_width = width - (width % 3);
unsigned max_height = height - (height % 3);
unsigned fpitch = pitch / sizeof(FIRGBF);
/**
fast tone mapping
split the image into 3x3 pixel tiles and perform the computation for each group of 9 pixels
further acceleration is obtained by a Padé approximation of log(x + 1)
=> produce artifacts and not so faster, so the code has been disabled
*/
#define PIXEL(x, y) image[y*fpitch + x].red
FIRGBF *image = (FIRGBF*)FreeImage_GetBits(dib);
for(y = 0; y < max_height; y += 3) {
for(x = 0; x < max_width; x += 3) {
double average = 0;
for(i = 0; i < 3; i++) {
for(j = 0; j < 3; j++) {
index = (y + i)*fpitch + (x + j);
image[index].red /= (float)avgLum;
image[index].red *= exposure;
average += image[index].red;
}
}
average = average / 9 - PIXEL(x, y);
if(average > -1 && average < 1) {
interpol = log(2 + pow(PIXEL(x + 1, y + 1) / Lmax, biasP) * 8);
for(i = 0; i < 3; i++) {
for(j = 0; j < 3; j++) {
index = (y + i)*fpitch + (x + j);
L = pade_log(image[index].red);// log(image[index].red + 1)
image[index].red = (float)((L / interpol) / divider);
}
}
}
else {
for(i = 0; i < 3; i++) {
for(j = 0; j < 3; j++) {
index = (y + i)*fpitch + (x + j);
interpol = log(2 + pow(image[index].red / Lmax, biasP) * 8);
L = pade_log(image[index].red);// log(image[index].red + 1)
image[index].red = (float)((L / interpol) / divider);
}
}
}
} //x
} // y
/**
Normal tone mapping of every pixel for the remaining right and bottom bands
*/
BYTE *bits;
// right band
bits = (BYTE*)FreeImage_GetBits(dib);
for(y = 0; y < height; y++) {
FIRGBF *pixel = (FIRGBF*)bits;
for(x = max_width; x < width; x++) {
double Yw = pixel[x].red / avgLum;
Yw *= exposure;
interpol = log(2 + biasFunction(biasP, Yw / Lmax) * 8);
L = pade_log(Yw);// log(Yw + 1)
pixel[x].red = (float)((L / interpol) / divider);
}
// next line
bits += pitch;
}
// bottom band
bits = (BYTE*)FreeImage_GetBits(dib);
for(y = max_height; y < height; y++) {
FIRGBF *pixel = (FIRGBF*)bits;
for(x = 0; x < max_width; x++) {
double Yw = pixel[x].red / avgLum;
Yw *= exposure;
interpol = log(2 + biasFunction(biasP, Yw / Lmax) * 8);
L = pade_log(Yw);// log(Yw + 1)
pixel[x].red = (float)((L / interpol) / divider);
}
// next line
bits += pitch;
}
#endif // DRAGO03_FAST
return TRUE;
}
/**
Custom gamma correction based on the ITU-R BT.709 standard
@param dib RGBF image to be corrected
@param gammaval Gamma value (2.2 is a good default value)
@return Returns TRUE if successful, returns FALSE otherwise
*/
static BOOL
REC709GammaCorrection(FIBITMAP *dib, const float gammaval) {
if(FreeImage_GetImageType(dib) != FIT_RGBF)
return FALSE;
float slope = 4.5F;
float start = 0.018F;
const float fgamma = (float)((0.45 / gammaval) * 2);
if(gammaval >= 2.1F) {
start = (float)(0.018 / ((gammaval - 2) * 7.5));
slope = (float)(4.5 * ((gammaval - 2) * 7.5));
} else if (gammaval <= 1.9F) {
start = (float)(0.018 * ((2 - gammaval) * 7.5));
slope = (float)(4.5 / ((2 - gammaval) * 7.5));
}
const unsigned width = FreeImage_GetWidth(dib);
const unsigned height = FreeImage_GetHeight(dib);
const unsigned pitch = FreeImage_GetPitch(dib);
BYTE *bits = (BYTE*)FreeImage_GetBits(dib);
for(unsigned y = 0; y < height; y++) {
float *pixel = (float*)bits;
for(unsigned x = 0; x < width; x++) {
for(int i = 0; i < 3; i++) {
*pixel = (*pixel <= start)
? *pixel * slope
: (1.099F * std::pow(*pixel, fgamma) -
0.099F);
pixel++;
}
}
bits += pitch;
}
return TRUE;
}
// ----------------------------------------------------------
// Main algorithm
// ----------------------------------------------------------
/**
Apply the Adaptive Logarithmic Mapping operator to a HDR image and convert to 24-bit RGB
@param src Input RGB16 or RGB[A]F image
@param gamma Gamma correction (gamma > 0). 1 means no correction, 2.2 in the original paper.
@param exposure Exposure parameter (0 means no correction, 0 in the original paper)
@return Returns a 24-bit RGB image if successful, returns NULL otherwise
*/
FIBITMAP* DLL_CALLCONV
FreeImage_TmoDrago03(FIBITMAP *src, double gamma, double exposure) {
float maxLum, minLum, avgLum;
if(!FreeImage_HasPixels(src)) return NULL;
// working RGBF variable
FIBITMAP *dib = NULL;
dib = FreeImage_ConvertToRGBF(src);
if(!dib) return NULL;
// default algorithm parameters
const float biasParam = 0.85F;
const float expoParam = (float)pow(2.0, exposure); //default exposure is 1, 2^0
// convert to Yxy
ConvertInPlaceRGBFToYxy(dib);
// get the luminance
LuminanceFromYxy(dib, &maxLum, &minLum, &avgLum);
// perform the tone mapping
ToneMappingDrago03(dib, maxLum, avgLum, biasParam, expoParam);
// convert back to RGBF
ConvertInPlaceYxyToRGBF(dib);
if(gamma != 1) {
// perform gamma correction
REC709GammaCorrection(dib, (float)gamma);
}
// clamp image highest values to display white, then convert to 24-bit RGB
FIBITMAP *dst = ClampConvertRGBFTo24(dib);
// clean-up and return
FreeImage_Unload(dib);
// copy metadata from src to dst
FreeImage_CloneMetadata(dst, src);
return dst;
}