In part, the invention relates to a method for sizing a stent for placement in a vessel. In one embodiment, the method includes the steps of: dividing the vessel into a plurality of segments, each segment being defined as the space between branches of the vessel； selecting a starting point that appears to have substantially no disease； defining the diameter at this point to be the maximum diameter； calculating the maximal diameter of the next adjacent segment according to a power law； measuring the actual diameter of the next adjacent segment； selecting either the calculated maximum diameter or the measured maximum diameter depending upon which diameter is larger； using the selected maximum diameter to find the maximum diameter of this next segment； iteratively proceeding until the entire length of the vessel is examined； and selecting a stent in response to the diameters of the end proximal and distal segments.
