Radiesse should not be used for superficial or deep wrinkles around the mouth. It is a thick ,long term filler which is best used for melolabial folds (between upper lip and chin) and marionette lines (between the lower lip and chin and cheek) and to fill in sunken cheeks and temples.
Other fillers may work better for wrinkles around the mouth.
Prevelle silk (Hyaluronic acid), Evolence (Porcine Collagen) may work quite well.
But in my experience, by far the most effective method for treating these wrinkles is the traditional CO2 Laser Resurfacing. One treatment suffices. Unfortunately there will be 7-8 days down time. I usually treat the lower lids at the same time.
As to the new, fractionated CO2 Laser resurfacing, 2 or 3 or even more treatments may be necessary. The marks of this treatment can be covered with makeup. Thus, even though technically there is domn time, in many cases no time is lost from work.
For all of the above procedures, a treatment with 4 units of Botox prior to the first procedure would greatly enhance the results.