## Linux and UNIX Man Pages

Test Your Knowledge in Computers #781
Difficulty: Medium
At 17, Bill Gates formed a venture with Steve Ballmer called Traf-O-Data to make traffic counters based on the Intel 8008 processor.
True or False?

# mlib_imagenormcrosscorrel(3mlib) [opensolaris man page]

```mlib_ImageNormCrossCorrel(3MLIB)			    mediaLib Library Functions				  mlib_ImageNormCrossCorrel(3MLIB)

NAME
mlib_ImageNormCrossCorrel - normalized cross correlation

SYNOPSIS
cc [ flag... ] file... -lmlib [ library... ]
#include <mlib.h>

mlib_status mlib_ImageNormCrossCorrel(mlib_d64 *correl,
const mlib_image *img1, const mlib_image *img2, const mlib_d64 *mean2,
const mlib_d64 *sdev2);

DESCRIPTION
The  mlib_ImageNormCrossCorrel() function computes the normalized cross-correlation coefficients between a pair of images, on a per-channel
basis.

It uses the following equations:

w-1 h-1
SUM SUM (d1[x][y][i] * d2[x][y][i])
x=0 y=0
correl[i] = -------------------------------------
s1[i] * s2[i]

d1[x][y][i] = img1[x][y][i] - m1[i]

d2[x][y][i] = img2[x][y][i] - m2[i]

1     w-1 h-1
m1[i] = ----- * SUM SUM img1[x][y][i]
w*h    x=0 y=0

1     w-1 h-1
m2[i] = ----- * SUM SUM img2[x][y][i]
w*h    x=0 y=0

w-1 h-1
s1[i] = sqrt{ SUM SUM (img1[x][y][i] - m1[i])**2 }
x=0 y=0

w-1 h-1
s2[i] = sqrt{ SUM SUM (img2[x][y][i] - m2[i])**2 }
x=0 y=0

where w and h are the width and height of the images, respectively; m1 and m2 are the mean arrays of the first and second  images,  respec-
tively; s1 and s2 are the un-normalized standard deviation arrays of the first and second images, respectively.

In  usual cases, the normalized cross-correlation coefficient is in the range of [-1.0, 1.0].  In the case of (s1[i] == 0) or (s2[i] == 0),
where a constant image channel is involved, the normalized cross-correlation coefficient is defined as follows:

#define signof(x) ((x > 0) ? 1 : ((x < 0) ? -1 : 0))

if ((s1[i] == 0.) || (s2[i] == 0.)) {
if ((s1[i] == 0.) && (s2[i] == 0.)) {
if (signof(m1[i]) == signof(m2[i]) {
correl[i] = 1.0;
} else {
correl[i] = -1.0;
}
} else {
correl[i] = -1.0;
}
}

The two images must have the same type, the same size, and the same number of channels. They can have 1, 2, 3 or 4 channels. They can be of
type MLIB_BYTE, MLIB_SHORT, MLIB_USHORT or MLIB_INT.

If  (mean2  ==  NULL) or (sdev2 == NULL), then m2 and s2 are calculated in this function according to the formulas shown above.	Otherwise,
they are calculated as follows:

m2[i] = mean2[i];
s2[i] = sdev2[i] * sqrt(w*h);

where mean2 and sdev2 can be the output of mlib_ImageMean() and mlib_ImageStdDev(), respectively.

PARAMETERS
The function takes the following arguments:

correl	 Pointer to normalized cross correlation array on a channel basis. The array must be the size of channels in the images. correl[i]
contains the cross-correlation of channel i.

img1	 Pointer to first image.

img2	 Pointer to second image.

mean2	 Pointer to the mean array of the second image.

sdev2	 Pointer to the standard deviation array of the second image.

RETURN VALUES
The function returns MLIB_SUCCESS if successful. Otherwise it returns MLIB_FAILURE.

ATTRIBUTES
See attributes(5) for descriptions of the following attributes:

+-----------------------------+-----------------------------+
|      ATTRIBUTE TYPE	     |	    ATTRIBUTE VALUE	   |
+-----------------------------+-----------------------------+
|Interface Stability	     |Committed 		   |
+-----------------------------+-----------------------------+
|MT-Level		     |MT-Safe			   |
+-----------------------------+-----------------------------+