To identify the object edges and corners, silicone rubber embedded with a fiber Bragg grating (FBG) sensor is used as the manipulator skin. The Bragg wavelength-shift of FBG appears under axial strain. The strain distribution in the skin is analyzed by the simulation of edge and corner contact. The contact situation is determined by the observation of the wavelength-shifts and power changes of the FBG. This method can help identify and distinguish object edges and corners. This technique can be applied for robot tactile sensing and show broad application prospects. It is beneficial to the advancement of bionics.