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intimg.cc
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/**
* Functions related to integral images
*
* @version $Version: 2018.11.13$
* @copyright Copyright (c) 2004-present, Mauricio Villegas <[email protected]>
* @license MIT License
*/
#include "intimg.h"
#include <stdlib.h>
#include <stdio.h>
#include <math.h>
int malloc_II1( int imW, int imH, II1*** _II, char clr )
{ return mmem(imW,imH,sizeof(II1),clr,(char***)_II); }
int malloc_II2( int imW, int imH, II2*** _II, char clr )
{ return mmem(imW,imH,sizeof(II2),clr,(char***)_II); }
int compII12_graym(gray** img, gray** alph, int imgW, int imgH, II1** ii1, II2** ii2, II1** cnt) {
int x,y;
if(imgW*imgH>66051 && sizeof(II2)<=4)
fprintf(stderr,"compII12_graym: warning: posible II overflow.\n");
if(alph!=NULL)
for(y=0;y<imgH;y++)
for(x=0;x<imgW;x++)
if(alph[y][x]==0)
img[y][x]=0;
if(alph!=NULL)
cnt[0][0] = alph[0][0] ? 1 : 0;
ii1[0][0] = (II1)img[0][0];
if(ii2!=NULL)
ii2[0][0] = (II2)img[0][0]*(II2)img[0][0];
for(y=1;y<imgH;y++) {
if(alph!=NULL)
cnt[y][0] = cnt[y-1][0] + ( alph[y][0] ? 1 : 0 );
ii1[y][0] = ii1[y-1][0]+(II1)img[y][0];
if(ii2!=NULL)
ii2[y][0] = ii2[y-1][0]+(II2)img[y][0]*(II2)img[y][0];
}
for(x=1;x<imgW;x++) {
if(alph!=NULL)
cnt[0][x] = cnt[0][x-1] + ( alph[0][x] ? 1 : 0 );
ii1[0][x] = ii1[0][x-1]+(II1)img[0][x];
if(ii2!=NULL)
ii2[0][x] = ii2[0][x-1]+(II2)img[0][x]*(II2)img[0][x];
}
for(y=1;y<imgH;y++)
for(x=1;x<imgW;x++) {
if(alph!=NULL)
cnt[y][x] = cnt[y-1][x]+cnt[y][x-1]-cnt[y-1][x-1] + ( alph[y][x] ? 1 : 0 );
ii1[y][x] = ii1[y-1][x]+ii1[y][x-1]-ii1[y-1][x-1]+(II1)img[y][x];
if(ii2!=NULL)
ii2[y][x] = ii2[y-1][x]+ii2[y][x-1]-ii2[y-1][x-1]+(II2)img[y][x]*(II2)img[y][x];
}
return EXIT_SUCCESS;
}
int cropsum_II(II1** ii1, int xmin, int ymin, int cropW, int cropH) {
int xminm1 = xmin-1;
int yminm1 = ymin-1;
int xmax = xminm1+cropW;
int ymax = yminm1+cropH;
II1 S1 = ii1[ymax][xmax];
if(yminm1>-1) {
S1 -= ii1[yminm1][xmax];
if(xminm1>-1)
S1 += ii1[yminm1][xminm1]-ii1[ymax][xminm1];
}
else if(xminm1>-1)
S1 -= ii1[ymax][xminm1];
return S1;
}
int mean_II(II1** ii1, II1** cnt, int xmin, int ymin, int cropW, int cropH, float* _mean) {
int xminm1 = xmin-1;
int yminm1 = ymin-1;
int xmax = xminm1+cropW;
int ymax = yminm1+cropH;
II1 S1 = ii1[ymax][xmax];
if(yminm1>-1) {
S1 -= ii1[yminm1][xmax];
if(xminm1>-1)
S1 += ii1[yminm1][xminm1]-ii1[ymax][xminm1];
}
else if(xminm1>-1)
S1 -= ii1[ymax][xminm1];
int numpix;
if(cnt!=NULL) {
numpix = cnt[ymax][xmax];
if(yminm1>-1) {
numpix -= cnt[yminm1][xmax];
if(xminm1>-1)
numpix += cnt[yminm1][xminm1]-cnt[ymax][xminm1];
}
else if(xminm1>-1)
numpix -= cnt[ymax][xminm1];
}
else
numpix = cropW*cropH;
*_mean = (float)((int)S1)/((float)numpix);
return EXIT_SUCCESS;
}
int sd_II(II1** ii1, II2** ii2, II1** cnt, int xmin, int ymin, int cropW, int cropH, float* _sd) {
int xminm1 = xmin-1;
int yminm1 = ymin-1;
int xmax = xminm1+cropW;
int ymax = yminm1+cropH;
II1 S1 = ii1[ymax][xmax];
II2 S2 = ii2[ymax][xmax];
if(yminm1>-1) {
S1 -= ii1[yminm1][xmax];
S2 -= ii2[yminm1][xmax];
if(xminm1>-1) {
S1 += ii1[yminm1][xminm1]-ii1[ymax][xminm1];
S2 += ii2[yminm1][xminm1]-ii2[ymax][xminm1];
}
}
else if(xminm1>-1) {
S1 -= ii1[ymax][xminm1];
S2 -= ii2[ymax][xminm1];
}
int numpix;
if(cnt!=NULL) {
numpix = cnt[ymax][xmax];
if(yminm1>-1) {
numpix -= cnt[yminm1][xmax];
if(xminm1>-1)
numpix += cnt[yminm1][xminm1]-cnt[ymax][xminm1];
}
else if(xminm1>-1)
numpix -= cnt[ymax][xminm1];
}
else
numpix = cropW*cropH;
float mean = (float)S1/(float)numpix;
if(((float)S2/(float)numpix - mean*mean) <= 0.0)
*_sd = 0;
else
*_sd = sqrt((float)S2/(float)numpix - mean*mean);
return EXIT_SUCCESS;
}
int meanSd_II(II1** ii1, II2** ii2, II1** cnt, int xmin, int ymin, int cropW, int cropH, float* _mean, float* _sd) {
int xminm1 = xmin-1;
int yminm1 = ymin-1;
int xmax = xminm1+cropW;
int ymax = yminm1+cropH;
II1 S1 = ii1[ymax][xmax];
II2 S2 = ii2[ymax][xmax];
if(yminm1>-1) {
S1 -= ii1[yminm1][xmax];
S2 -= ii2[yminm1][xmax];
if(xminm1>-1) {
S1 += ii1[yminm1][xminm1]-ii1[ymax][xminm1];
S2 += ii2[yminm1][xminm1]-ii2[ymax][xminm1];
}
}
else if(xminm1>-1) {
S1 -= ii1[ymax][xminm1];
S2 -= ii2[ymax][xminm1];
}
int numpix;
if(cnt!=NULL) {
numpix = cnt[ymax][xmax];
if(yminm1>-1) {
numpix -= cnt[yminm1][xmax];
if(xminm1>-1)
numpix += cnt[yminm1][xminm1]-cnt[ymax][xminm1];
}
else if(xminm1>-1)
numpix -= cnt[ymax][xminm1];
}
else
numpix = cropW*cropH;
*_mean = (float)((int)S1)/((float)numpix);
if(((float)S2/(float)numpix-(*_mean)*(*_mean)) <= 0.0)
*_sd = 0;
else
*_sd = sqrt((float)S2/(float)numpix-(*_mean)*(*_mean));
return EXIT_SUCCESS;
}
static inline void meanSdCW_II(int x, int y, int imgW, int imgH, II1** ii1, II2** ii2, II1** cnt, int winS, float* _mean, float* _sd) {
int ymin = y-winS;
ymin = ymin<0?0:ymin;
int ymax = y+winS;
ymax = ymax>=imgH?imgH-1:ymax;
int xmin = x-winS;
xmin = xmin<0?0:xmin;
int xmax = x+winS;
xmax = xmax>=imgW?imgW-1:xmax;
meanSd_II(ii1,ii2,cnt,xmin,ymin,xmax-xmin+1,ymax-ymin+1,_mean,_sd);
}
/*int enhSauvola_pixelm(pixel** img, gray** alph, int imgW, int imgH, int winW, float prm, float slp) {
gray** gimg = NULL;
II1** cnt = NULL;
II1** ii1 = NULL;
II2** ii2 = NULL;
int err = 0;
err += malloc_graym(imgW,imgH,&gimg,FALSE);
err += malloc_II1(imgW,imgH,&ii1,FALSE);
err += malloc_II2(imgW,imgH,&ii2,FALSE);
if(alph!=NULL)
err += malloc_II1(imgW,imgH,&cnt,FALSE);
if( err ) {
fprintf(stderr,"enhSauvola_pixelm: error: unable to reserve memory\n");
return EXIT_FAILURE;
}
int n;
for( n=imgW*imgH-1; n>=0; n-- )
gimg[0][n] = img[0][n].r;
if( enhSauvola_graym(gimg,alph,imgW,imgH,&ii1,&ii2,&cnt,winW,prm,slp) )
return EXIT_FAILURE;
for( n=imgW*imgH-1; n>=0; n-- ) {
img[0][n].r = gimg[0][n];
gimg[0][n] = img[0][n].g;
}
if( enhSauvola_graym(gimg,alph,imgW,imgH,&ii1,&ii2,&cnt,winW,prm,slp) )
return EXIT_FAILURE;
for( n=imgW*imgH-1; n>=0; n-- ) {
img[0][n].g = gimg[0][n];
gimg[0][n] = img[0][n].b;
}
if( enhSauvola_graym(gimg,alph,imgW,imgH,&ii1,&ii2,&cnt,winW,prm,slp) )
return EXIT_FAILURE;
for( n=imgW*imgH-1; n>=0; n-- )
img[0][n].b = gimg[0][n];
free(gimg);
free(ii1);
free(ii2);
if(alph!=NULL)
free(cnt);
return EXIT_SUCCESS;
}*/
static inline gray enhSauvola_single(int x, int y, gray** img, gray** alph, int imgW, int imgH, II1** ii1, II2** ii2, II1** cnt, int winS, float prm, float slp, float rng) {
if(alph!=NULL && alph[y][x]==0)
return (gray)255;
float mu,sd;
meanSdCW_II(x,y,imgW,imgH,ii1,ii2,cnt,winS,&mu,&sd);
float thr = mu*(1+prm*((sd/rng)-1));
if(slp==0.0) {
if(img[y][x]>thr)
return (gray)255;
else
return (gray)0;
}
else if(sd>1e-4) {
float m = 255.0/(2*slp*sd);
float c = 128-m*thr;
return limit_gray(m*img[y][x]+c);
}
else {
float fact=1.05;
float W;
for( W=fact*winS; W<2*imgW && W<2*imgH; W*=fact ) {
int winS = (int)(W+0.5);
float mu,sd;
meanSdCW_II(x,y,imgW,imgH,ii1,ii2,cnt,winS,&mu,&sd);
float thr = mu*(1+prm*((sd/rng)-1));
if(sd>1e-4) {
float m = 255.0/(2*slp*sd);
float c = 128-m*thr;
return limit_gray(m*img[y][x]+c);
}
}
}
return (gray)255;
}
static inline gray enhWolf_single(int x, int y, gray** img, gray** alph, int imgW, int imgH, II1** ii1, II2** ii2, II1** cnt, int winS, float prm, float slp, float rng, gray minv) {
if(alph!=NULL && alph[y][x]==0)
return (gray)255;
float mu,sd;
meanSdCW_II(x,y,imgW,imgH,ii1,ii2,cnt,winS,&mu,&sd);
float thr = (1-prm)*mu+prm*minv+prm*(sd/rng)*(mu-minv);
if(slp==0.0) {
if(img[y][x]>thr)
return (gray)255;
else
return (gray)0;
}
else if(sd>1e-4) {
float m = 255.0/(2*slp*sd);
float c = 128-m*thr;
return limit_gray(m*img[y][x]+c);
}
else {
float fact=1.05;
float W;
for( W=fact*winS; W<2*imgW && W<2*imgH; W*=fact ) {
int winS = (int)(W+0.5);
float mu,sd;
meanSdCW_II(x,y,imgW,imgH,ii1,ii2,cnt,winS,&mu,&sd);
float thr = (1-prm)*mu+prm*minv+prm*(sd/rng)*(mu-minv);
if(sd>1e-4) {
float m = 255.0/(2*slp*sd);
float c = 128-m*thr;
return limit_gray(m*img[y][x]+c);
}
}
}
return (gray)255;
}
static inline void minValmaxStd(gray** img, gray** alph, int imgW, int imgH, II1** ii1, II2** ii2, II1** cnt, int winS, gray* _minval, float* _maxstd) {
gray minval = 255;
float maxstd = 0.0;
int y;
for ( y=imgH-1; y>=0; y-- ) {
gray *imgy = img[y];
gray *alphy = alph!=NULL ? alph[y] : NULL;
int x;
for ( x=imgW-1; x>=0; x-- ) {
if( alph==NULL || alphy[x]!=0 ) {
float mu,sd;
meanSdCW_II(x,y,imgW,imgH,ii1,ii2,cnt,winS,&mu,&sd);
maxstd = maxstd < sd ? sd : maxstd ;
}
minval = minval > imgy[x] ? imgy[x] : minval ;
}
}
*_minval = minval;
*_maxstd = maxstd;
}
/*int enhSauvola_graym(gray** img, gray** alph, int imgW, int imgH, II1*** _ii1, II2*** _ii2, II1*** _cnt, int winW, float prm, float slp) {
if(*_ii1==NULL || *_ii2==NULL) {
int err = 0;
err += malloc_II1(imgW,imgH,_ii1,FALSE);
err += malloc_II2(imgW,imgH,_ii2,FALSE);
if(alph!=NULL)
err += malloc_II1(imgW,imgH,_cnt,FALSE);
if(err) {
fprintf(stderr,"enhSauvola_graym: error: unable to reserve memory\n");
return EXIT_FAILURE;
}
_ii1[0][imgH-1][imgW-1]=0;
}
if(_ii1[0][imgH-1][imgW-1]==0)
compII12_graym(img,alph,imgW,imgH,*_ii1,*_ii2,alph==NULL?NULL:*_cnt);
winW = winW/2;
II1 **cnt = alph==NULL ? NULL : *_cnt;
gray minval;
float maxstd;
minValmaxStd(img,alph,imgW,imgH,*_ii1,*_ii2,cnt,winW,&minval,&maxstd);
//maxsd = 128.0;
int y;
for(y=imgH-1;y>=0;y--) {
gray *imgy = img[y];
int x;
for(x=imgW-1;x>=0;x--)
imgy[x] = enhSauvola_single(x,y,img,alph,imgW,imgH,*_ii1,*_ii2,cnt,winW,prm,slp,maxstd);
}
return EXIT_SUCCESS;
}*/
int enhLocal_graym(gray** img, gray** alph, int imgW, int imgH, II1*** _ii1, II2*** _ii2, II1*** _cnt, int winW, float prm, float slp, int type) {
if(*_ii1==NULL || *_ii2==NULL) {
int err = 0;
err += malloc_II1(imgW,imgH,_ii1,FALSE);
err += malloc_II2(imgW,imgH,_ii2,FALSE);
if(alph!=NULL)
err += malloc_II1(imgW,imgH,_cnt,FALSE);
if(err) {
fprintf(stderr,"enhLocal_graym: error: unable to reserve memory\n");
return EXIT_FAILURE;
}
_ii1[0][imgH-1][imgW-1]=0;
}
if(_ii1[0][imgH-1][imgW-1]==0)
compII12_graym(img,alph,imgW,imgH,*_ii1,*_ii2,alph==NULL?NULL:*_cnt);
winW = winW/2;
II1 **cnt = alph==NULL ? NULL : *_cnt;
gray minval = 0;
float maxstd = 128.0;
if ( type == ENH_SAUVOLA_SDMAX || type == ENH_WOLF )
minValmaxStd(img,alph,imgW,imgH,*_ii1,*_ii2,cnt,winW,&minval,&maxstd);
int y;
for(y=imgH-1;y>=0;y--) {
gray *imgy = img[y];
int x;
for(x=imgW-1;x>=0;x--) {
if ( type == ENH_SAUVOLA || type == ENH_SAUVOLA_SDMAX )
imgy[x] = enhSauvola_single(x,y,img,alph,imgW,imgH,*_ii1,*_ii2,cnt,winW,prm,slp,maxstd);
else
imgy[x] = enhWolf_single(x,y,img,alph,imgW,imgH,*_ii1,*_ii2,cnt,winW,prm,slp,maxstd,minval);
}
}
return EXIT_SUCCESS;
}
int enhSauvola_sample_prm_graym(gray** img, gray** alph, int imgW, int imgH, II1*** _ii1, II2*** _ii2, II1*** _cnt, int winW, float slp, double *_prm, int subsamp, float prmthr) {
if(*_ii1==NULL || *_ii2==NULL) {
int err = 0;
err += malloc_II1(imgW,imgH,_ii1,FALSE);
err += malloc_II2(imgW,imgH,_ii2,FALSE);
if(alph!=NULL)
err += malloc_II1(imgW,imgH,_cnt,FALSE);
if(err) {
fprintf(stderr,"enhSauvola_sample_prm_graym: error: unable to reserve memory\n");
return EXIT_FAILURE;
}
_ii1[0][imgH-1][imgW-1]=0;
}
if(_ii1[0][imgH-1][imgW-1]==0)
compII12_graym(img,alph,imgW,imgH,*_ii1,*_ii2,alph==NULL?NULL:*_cnt);
winW = winW/2;
II1 **cnt = alph==NULL ? NULL : *_cnt;
static int Nprm = 10;
static int bins = 32;
static double histfact = 1.0/8.0;
float prms[] = { 0.02, 0.04, 0.06, 0.08, 0.12, 0.16, 0.20, 0.24, 0.32, 0.48 };
int hist[bins];
float histvals[bins];
//*_prm = 0.0;
int n;
for(n=0;n<Nprm;n++) {
float prm = prms[n];
int hcnt = 0;
int y;
for(y=bins-1;y>=0;y--)
hist[y] = 0;
for(y=imgH-1;y>=0;y-=subsamp) {
int x;
for(x=imgW-1;x>=0;x-=subsamp) {
if(alph!=NULL && alph[y][x]==0)
continue;
gray v = enhSauvola_single(x,y,img,alph,imgW,imgH,*_ii1,*_ii2,cnt,winW,prm,slp,128.0);
hist[(int)(v*histfact)]++;
hcnt++;
}
}
histvals[n] = hist[bins-2]/(double)hcnt;
//fprintf(stderr,"histval[ %.2f ] -> %.6f\n",prm,histvals[n]);
if( histvals[n] < prmthr ) {
//fprintf(stderr,"stopping\n");
//if(*_prm==0.0)
*_prm = prm;
return EXIT_SUCCESS;
}
}
double vmax = 0.0;
double vmin = 1.0;
for(n=0;n<Nprm;n++) {
if( vmax < histvals[n] )
vmax = histvals[n];
if( vmin > histvals[n] )
vmin = histvals[n];
}
double thr = (1.0/Nprm)*(vmax-vmin)+vmin;
for(n=0;n<Nprm-1;n++) {
if( histvals[n] < thr ||
histvals[n] == vmin ) {
//fprintf(stderr,"stopping at %.2f\n",prms[n]);
//if(*_prm==0.0)
*_prm = prms[n];
return EXIT_SUCCESS;
}
}
return EXIT_FAILURE;
}
/*
int maskExtend_graym(gray **img, gray **alph, int imgW, int imgH, int winW, float prm, float seR) {
gray **tmp;
int err = clone_graym(img,imgW,imgH,&tmp);
if(err) {
fprintf(stderr,"maskExtend_graym: error: unable to reserve memory\n");
return err;
}
II1** ii1 = NULL;
II2** ii2 = NULL;
err = enhSauvola_graym(tmp,NULL,imgW,imgH,&ii1,&ii2,NULL, winW, prm, 0);
if(err!=EXIT_SUCCESS) {
free(tmp);
return err;
}
free(ii1);
free(ii2);
SE *se;
//err = seCircle(seR,0,0,1,&se);
err = seCircle(seR,TRUE,FALSE,&se,NULL);
if(err) {
free(tmp);
return err;
}
err = morpherode_graym(tmp,imgW,imgH,se,tmp);
if(err!=EXIT_SUCCESS) {
free(tmp);
return err;
}
free(se);
int n;
for(n=imgW*imgH-1;n>=0;n--)
if(alph[0][n]==0 && tmp[0][n]!=0)
alph[0][n] = 255;
free(tmp);
return EXIT_SUCCESS;
}
*/
/*
int rgbm2graym_winproj(pixel** img, int imgW, int imgH, II1*** _ii1, II2*** _ii2, gray** out, float* base, int D) {
float min = base[0];
float rang = base[1];
int winW = base[D-1];
pixel *imgv = img[0];
gray *outv = out[0];
base = base+3;
D -= 3;
winW /= 2;
if(*_ii1==NULL || *_ii2==NULL) {
int err = 0;
err += malloc_II1(imgW,imgH,_ii1,0);
err += malloc_II2(imgW,imgH,_ii2,0);
if(err) {
fprintf(stderr,"rgbm2graym_proj_musd: error: unable to reserve memory\n");
return EXIT_FAILURE;
}
compII12_graym(img,NULL,imgW,imgH,*_ii1,*_ii2,NULL);
}
float gamma = 0;
if( D==6 || D==21 ) {
gamma = base[D-1];
rang = 1/(rang-min);
D --;
}
else
rang = IMGIO_GRAYMAX/(rang-min);
int x,y;
float pv;
switch(D) {
case 5:
for(y=imgH-1;y>=0;y--) {
imgv = img[y];
outv = out[y];
int ymin = y-winW < 0 ? 0 : y-winW;
int ymax = y+winW >= imgH-1 ? imgH-1 : y+winW;
for(x=imgW-1;x>=0;x--) {
pixel p = imgv[x];
int xmin = x-winW < 0 ? 0 : x-winW;
int xmax = x+winW >= imgW-1 ? imgW-1 : x+winW;
float mu,sd;
meanSd_II(*_ii1,*_ii2,NULL,xmin,ymin,xmax-xmin+1,ymax-ymin+1,&mu,&sd);
//fprintf(file," format 1: MIN MAX fR fG fB fM fS [GAM] WINW\n");
pv =
base[0]*p.r + base[1]*p.g + base[2]*p.b + base[3]*mu + base[4]*sd;
if(gamma)
outv[x] = limit_gray( IMGIO_GRAYMAX*gamma_correct(rang*(pv-min),gamma)+0.5 );
else
outv[x] = limit_gray( rang*(pv-min)+0.5 );
}
}
break;
case 20:
for(y=imgH-1;y>=0;y--) {
imgv = img[y];
outv = out[y];
int ymin = y-winW < 0 ? 0 : y-winW;
int ymax = y+winW >= imgH-1 ? imgH-1 : y+winW;
for(x=imgW-1;x>=0;x--) {
pixel p = imgv[x];
int xmin = x-winW < 0 ? 0 : x-winW;
int xmax = x+winW >= imgW-1 ? imgW-1 : x+winW;
float mu,sd;
meanSd_II(*_ii1,*_ii2,NULL,xmin,ymin,xmax-xmin+1,ymax-ymin+1,&mu,&sd);
//fprintf(file," format 2: MIN MAX fR fG fB fRG fGB fRB fRR fGG fBB fM fS fMS fMR fMG fMB fSR fSG fSB fMM fSS [GAM] WINW\n");
pv =
base[0]*p.r + base[1]*p.g + base[2]*p.b +
base[3]*p.r*p.g + base[4]*p.g*p.b + base[5]*p.r*p.b +
base[6]*p.r*p.r + base[7]*p.g*p.g + base[8]*p.b*p.b +
base[9]*mu + base[10]*sd + base[11]*mu*sd +
base[12]*mu*p.r + base[13]*mu*p.g + base[14]*mu*p.b +
base[15]*sd*p.r + base[16]*sd*p.g + base[17]*sd*p.b +
base[18]*mu*mu + base[19]*sd*sd;
if(gamma)
outv[x] = limit_gray( IMGIO_GRAYMAX*gamma_correct(rang*(pv-min),gamma)+0.5 );
else
outv[x] = limit_gray( rang*(pv-min)+0.5 );
}
}
break;
default:
return EXIT_FAILURE;
}
return EXIT_SUCCESS;
}
*/