Removing, or minimizing, scratches on the top of a Magic Mouse

Though I'm comfortable using either a trackpad or mouse for most tasks, there are some things that I prefer to have the precision of a mouse for. On one such occasion I was traveling with my MacBook, so I decided to toss my Magic Mouse into the bottom of a bag with other loose things. When I took it out, I noticed that the surface got all scuffed up and felt different. The mouse still works, but the scratches annoy me. Is there any way to remove or minimize them? My biggest annoyance is the lack of consistent friction on the surface of the mouse - it makes performing some gestures harder. I'd like to have the entire surface have a consistent level of friction, and, if possible, have it feel like a new Magic Mouse. Is this possible?