This paper presents a new technique for the detection of moving target tracks, where those tracks are linear paths or segments of circles[1,2]. The images used as input represent a time-varying sequence of noisy satellite images of terrain and a moving target(s). Preprocessing of the image sequence involves use of third order differencing to remove stationary points and produce a sequence of intermediate images containing only the target track(s) and noise from various sources[3]. The new procedure described in this paper begins by selection of a window from the preprocessed image sequence. A generalized Hough transform technique is then employed to obtain the equation for the line traveled by any target, and an extension of the linear technique is used to detect circular tracks. New strategies for reduction of the dimensionality of the Hough transformation are also described. The method has been shown to be robust when tested on simulated noisy target tracks.