Hi Yor, 
The problem is that your missing 30 -50% of your color due to the holes.  Also, when placed on a window this equates to adding 30 - 50% black into your image.  It's tough because you really can't create a profile for that material.   Others on here may have a formula for getting balanced color match, but I would start with lightening up the art work somewhat.  It will probably take some trial and error to get it right though. 
Hopefully others have a better answer to this. 
Good Luck,