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High-speed log polar transformation implemented on a foveating sensor

The complex log polar transform is implemented on a multiresolution foveating sensor. The foveating sensor is a new device that can be programmed to capture an image with variable size pixels (super pixels) at very high speed providing data reduction at the sensor stage. A structured scanning pattern is suggested that approximates the log polar mapping and an algorithm presented that describes how to group the scanning super pixels into the transform. Simulations of the approximate log polar transform show that changes of scale (about 4:1) and rotation (0 to 360 degrees) of an object in the input image are converted into, respectively, the horizontal and cyclicly vertical shifts in an output image (a computational map). Therefore, the task of pattern recognition is greatly simplified and can be performed on the computational map by correlation. Finally, the sensitivity of the placement of the scanning pattern to the object, or centroid mismatch, is discussed.