A fuzzy piecewise smooth(FPS) model is proposed aiming at the intensity-inhomogeneous image segmentation.Motivated by piecewise smooth Munford-Shah(MS) model and fuzzy clustering,two smooth functions were used to represent the region characteristics respectively and a fuzzy membership function was adopted to replace the hard membership function of MS model.An edge detection operator was also incorporated into the minimization ernergy function.The new energy is convex for the membership function,...