Synopsis: Homography transform in Fourier spectrum with application to object recognition. Ideally, recognition of objects should be projection, scale, translation and rotation invariant, just as they are in human vision. This, however, is a very complex problem, since numerous times an object is occluded and many objects rarely appear the same twice, due to different camera/observer positions, variable lighting or object motion. Our goal in this regard is to investigate autonomous object recognition in unconstrained environments by means of outlines of the objects, which we will refer to as the contours. One of the reasons for the popularity of contour-based analysis techniques is that edge detection constitutes an important aspect of shape recognition by the human visual system. The main motivation behind this work is that 2-D homography may overcome the problem of noise sensitivity and boundary variations.