You could cut one end into the doily center and then cut the center out leaving a bit of the plain paper in the center but then you would have a circular type strip- similar to lace for sewing...
Use sticky strip on the back of your image and then attach the doily in pleated pattern around the circle...
I did this on a card to create a straight strip but it could work on a circle image although you may need to use more that one doily :-)
I am not real fond of this card but you can see the doily "lace" on the side
Spring is in the Air- Three Challenges in One! by Julie Gearinger - Cards and Paper Crafts at Splitcoaststampers
Hope this helps and have fun!!