Apparatus comprising: (A) An extraction unit comprising a liposuction device (10) having: (a) a cannula (1) with an inner lumen provided with one or several openings (11) for drawing adipose tissue into said lumen, to a second, outlet end (1 o), located at the opposite end of the elongated body, said cannula being coupled to, (b) a powered handpiece, (B) a separation unit for separating a selected portion of adipose tissue from liquids and other undesired solids, (C) a re-injection unit comprising a lipofilling unit (100) comprising a cannula coupled to a handpiece; (D) a vacuum pump (5a) for drawing adipose tissue out of a location of a body, (E) a re-injection pump (5b) suitable for injecting a selected portion of adipose tissue back into a location of a body, and (F) tubing for connecting the various elements together, wherein the powered handpiece of the liposuction device is suitable for imparting a vibrational movement comprising a first, linear component of a back and forth reciprocal movement along a longitudinal axis, X, at a frequency of 10 to 500 Hz and a second, orbital component about the longitudinal axis X.