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,