How can you remove scratches or dents from anodized aluminum?

If they are very fine surface scratches you can try automotive fine polishing compound and wax. Be careful. Regular clear and color anodizing is only .0005 inches thick in the coating(one half thousandths). If they are deep scratches you are out of luck. Hardcoat anodizing on the other hand is typically .002 inches thick and can be buffed and polished with stainless steel rouge to a mirror finish.