OTSU方法计算图像二值化的自适应阈值

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/*
OTSU 算法可以说是自适应计算单阈值（用来转换灰度图像为二值图像）的简单高效方法。下面的代码最早由 Ryan Dibble提供，此后经过多人Joerg.Schulenburg, R.Z.Liu 等修改，补正。

转自：http://forum.assuredigit.com/display_topic_threads.asp?ForumID=8&TopicID=3480

算法对输入的灰度图像的直方图进行分析，将直方图分成两个部分，使得两部分之间的距离最大。划分点就是求得的阈值。

parameter: *image --- buffer for image
rows, cols --- size of image
x0, y0, dx, dy --- region of vector used for computing threshold
vvv --- debug option, is 0, no debug information outputed
*/
/*======================================================================*/
/* OTSU global thresholding routine */
/* takes a 2D unsigned char array pointer, number of rows, and */
/* number of cols in the array. returns the value of the threshold */
/*======================================================================*/
int otsu (unsigned char *image, int rows, int cols, int x0, int y0, int dx, int dy, int vvv)
{

unsigned char *np; // 图像指针
int thresholdValue=1; //阈值
int ihist[256]; // 图像直方图，256个点

int i, j, k; // various counters
int n, n1, n2, gmin, gmax;
double m1, m2, sum, csum, fmax, sb;

// 对直方图置零...
memset(ihist, 0, sizeof(ihist));

gmin=255; gmax=0;
//生成直方图
for (i = y0 + 1; i < y0 + dy - 1; i++) {
np = &image[i*cols+x0+1];
for (j = x0 + 1; j < x0 + dx - 1; j++) {
ihist[*np]++;
if(*np > gmax) gmax=*np;
if(*np < gmin) gmin=*np;
np++; /* next pixel */
}
}

// set up everything
sum = csum = 0.0;
n = 0;

for (k = 0; k <= 255; k++) {
sum += (double) k * (double) ihist[k]; /* x*f(x) 质量矩*/
n += ihist[k]; /* f(x)质量*/
}

if (!n) {
// if n has no value, there isproblems...
fprintf (stderr, "NOT NORMAL thresholdValue = 160/n");
return (160);
}

// do the otsu global thresholding method
fmax = -1.0;
n1 = 0;
for (k = 0; k < 255; k++) {
n1 += ihist[k];
if (!n1) { continue; }
n2 = n - n1;
if (n2 == 0) { break; }
csum += (double) k *ihist[k];
m1 = csum / n1;
m2 = (sum - csum) / n2;
sb = (double) n1 *(double) n2 *(m1 - m2) * (m1 - m2);
/* bbg: note: can be optimized. */
if (sb > fmax) {
fmax = sb;
thresholdValue = k;
}
}

// at this point we have our thresholding value

// debug code to display thresholding values
if ( vvv & 1 )
fprintf(stderr,"# OTSU: thresholdValue = %d gmin=%d gmax=%d/n",
thresholdValue, gmin, gmax);

return(thresholdValue);
}