The two main categories of wave are beech break or reef break. So if its a sandy bottom its a beach break and if its rock/coral its a reef.
So in that photo you might say you are catching the reforms on your local beach break.
You may have been on that wave a while though having caught it out back and ridden it right in to get the reform as well. The wave looks "fat" too so you could say 'I surf fat beachbreaks!'
Never growing old together...