Affiliation: | a Faculty of Computer Science, Technion—Israel Institute of Technology, 32000, Haifa, Israel b Department of Electrical Engineering, Tel-Aviv University, Tel-Aviv, Israel |
Abstract: | The navigational tasks of computing time to impact and controlling movements in specific range are addressed here. We show how time to impact can be obtained via the Mellin-based correlator, and we introduce the concept of fractional based correlators. The fractional Fourier/Mellin based correlators can be used in detecting or controlling specific range of movements. Also, both the conventional and the fractional-based correlators can be easily implemented optically in lenses, thus providing correlation images directly at image acquisition time. Lenses are considered cost-effective and therefore, the optical correlators are optimal in both senses, speed and cost. |