@Article{bonmassar1999:real-time, author = {Giorgio Bonmassar and Eric L. Schwartz}, title = {Real-time restoration of images degraded by uniform motion blur in foveal active vision systems}, journal = {IEEE Transactions on Image Processing}, year = 1999, volume = 8, pages = {1838-1842}, month = Dec, datestr = 199912, INSPEC = 6458401, abstract = {Foveated, log­polar, or space­variant image architectures provide a high resolution and wide field workspace, while providing a small pixel computation load. These characteristics are ideal for mobile robotic and active vision applications. A common problem in these application areas is image blur and motion artifact. Recently, there has been described a generalization of the Fourier Transform (the fast exponential chirp transform) which allows frame­rate computation of full­field 2D frequency transforms on a log­polar image format. In the present work, we use Wiener filtering, performed using the Exponential Chirp Transform, on log­polar (foveated) image formats to de­blur images which have been degraded by camera motion or other sources of blur. Since the exponential chirp transform provides size and rotation invariant properties, we only need to pre­compute and store a single motion vector template, exploiting the size and rotation properties of the chirp transform. This provides real­time performance without requiring a large storage of pre­computed templates. Examples of this processing on different samples from a data base of images shows effective image restoration, with frame­rate performance on modest hardware (e.g. a Pentium or SHARC DSP processor). This work shows that the fast exponential chirp transform provides a simple algorithm with low spatial complexity for full frame, real­time image restoration of foveal imagery.}, keywords = {Logpolar Mapping, Motion Blur, Space-Variant Image Processing, Image Restoration, Real-Time Imaging} }