I understand your confusion and it occurs because these terms are often used improperly.
I have tried to clarify these terms for you:
Sub-Areolar = Dermal Mastopexy
This incision goes all the way around the border of the areola and is essentially a modified circumareolar mastopexy popularized by Dr. Becker. I have tried this with moderate success.
Circum-Areolar=Donut = Benelli=Round Block Masotpexy
This incision goes all the way around the areola. Its benefits are the limited scar. The disadvantage are the inability to predict or prevent the pursestring appearance. It tends to flatten the breast and is best performed with an implant. Various techniques have beed described without an implant and have met with mixed success. Attempts at reducing spreading of the scar necessitate the use of a permanent suture which can have problems with infection, palpability, visibility or nipple puffiness. Many modifications have been described. It cannot be used for advanced ptosis (sagging) which is still better managed with a vertical scar ("lollipop or tennis racket")
Semi-Areolar = Peri-Areolar = Crescent Mastopexy
Good for very minor degrees of sagging. It's benefits are its limited scar. The disadvantage is that it will occasionally stretch or enlarge the areola. I have used it primarily as a method to correct uneven nipple height from one side to the other. I rarely use it for a lift on both sides.
I have prepared a video which amy help to explain the confusion. It is based on a lecture I have given in the past. It has been converted from powerpoint, you may want to enlarge the video to see the pictures more clearly.
I hope this helps.




