The invention described in this patent application is a medical device for breast surgery consisting in a three-dimensional matrix of hemispherical or paraboloid or ellipsoid or hyperboloid shape, which is initially rolled up and can unfold into its original three-dimensional shape after insertion through a surgical incision. When rolled up, the medical device has the shape of a solid of revolution having a central section (SM) greater than the distal sections (SD) and being tapered at the extremities.