In this thesis, a method of recognizing objects is proposed that uses a concept of modified incremental circle transform. The modified incremental circle transform, which maps boundaries of an object into an unit circle, represents efficiently the shape of the boundaries detected in digitized binary images of the objects. It is proved that modified incremental circle transform of object, which is invariant under object translation, rotation, and size, can be used as feature information for recognizing 2 dimensional polygonal object efficiently.