you could register it with the Copyright Office and chase anyone who infringes it, whether it's reprinted on sneakers, sheets, or bed pans. By the way, we believe Converse licensed the images from Ed Hardy. Anyone who reproduces the Converse style (such that it imitates or conjures up the Converse brand) without permission is likely to hear from Nike (the owners of the Converse brand).
When copyright isn't enough ... Copyright canot protect useful objects, so if by "design," you're talking about the design of the sneaker, itself -- toe patterns, side stripes, stitching, tips, number and placement of ringlets, appearance of the tongue, color of the laces, etc. -- then you want to consider the protection afforded by design patents. That's the approach taken by shoe makers such as Nike, Reebok, AVIA, Asics, LA Gear, Rockport, Sketchers, Wolverine, Keds, Louis Vuitton, Timberland, Berluti, and Kangaroos.