Tracking deep-field objects across a wide field of view requires the use of high resolution image sensors. This imposes a burden on processing systems which must detect and extract features in an image. Deep-field objects have limited spatial support within a wide field of view image and accordingly much of the recorded scene contains superfluous information about the environment. This paper explores the generation of a foveal scale space using the log-polar transform. Foveal scale space is the scale space representation of an input scene where the spatial support of the image at each scale increases with scale and the number of pixels remains constant across each slice of scale space. This paper reports the formulation of a transformation consisting of a peripheral region defined by the log-polar transform and a foveal region where resolution is constant. A method for performing diffusion in this domain is shown and the generation of the foveal scale space is presented.
A foveated optical system has non-uniform resolution across its field of view. Typically, the resolution of such a lens is peaked in the center region of field of view, such as in the human eye. In biological systems this is often a result of localized depressions on the retina called foveae. Birds of prey, or raptors, have two foveae in each eye, each of which accounts for a localized region of high magnification within the raptor's field of view. This paper presents an analysis of the bifoveated vision of raptors and presents a method whereby this unique optical characteristic may be achieved in an optical system using freeform optics and aberration correction techniques.
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