I had a quick look in PHP's ImageMagick and GD and neither has a built in way of doing that. An approach could be to use ImageMagick to divide the larger image to smaller ones(same size as the smaller one) and start comparing them to the smaller one.
However this will be very slow I suppose.
You can do that with imagemagick if you use a system call in your PHP code.
I don't know if you want to try this out but here is how it can be done:
<?php
//set a bigger time out limit because comparison takes a while
set_time_limit ( 275 ) ;
//the bigger image
$bigimage = "big.bmp";
//the smaller image
$smallimage = "small.bmp";
//result image
$resimg = "/tmp/similarity";
//system call
$output = shell_exec("(compare -metric AE -subimage-search ".$bigimage." ".$smallimage." ".$resimg." > /dev/null) 3>&1 1>&2 2>&3");
//result is something like "0 @ 251,263"
$res = explode("@",$output);
if($res[0]==0)
{
echo "Perfect match<br/>";
$res = explode(",",$res[1]);
echo "width: ".$res[0];
echo "<br/>";
echo "height: ".$res[1];
} else {
echo "Not match";
}
?>
I have tested the above code in a linux box with XAMPP for Linux 1.7.3a and ImageMagick 6.7.1-0 2011-07-10 Q16.
About the comparison I use the metric AE(Absolute Error) which counts how many pixels differ.
The result is printed to the error stream(STERR).
More about imagemagick's subimage search you can find here.
Good luck :)
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