The processing of hexagonally sampled images

Publisher Summary This chapter reviews research on the sampling of images on a hexagonal grid, the processing of hexagonally sampled images by single- and multiprocessor computers, and the computation of image-processing operations on both binary and monochrome hexagonally sampled images. The hexagonal packing of sensors, together with a hexagonal sensor shape, is found in eyes. Evolution has favored the hexagon. Some manufactured sensors have hexagonal shapes, and others have circular or rectangular shapes. Each of these shapes has been shown to pack together efficiently on a hexagonal grid. A high fill factor or complete tiling of the area can lead to a high signal-to-noise ratio; however, for integrated sensor arrays, fill factors below 100% are necessary because communication circuits are required on the surface of the chip to transfer the image signals to the processor. The chapter also reviews two-dimensional sampling theory with the focus on aliasing of high-frequency components and the necessity to band limit analog signals before digitization to prevent this. If signals are circularly bandlimited, then their high-frequency information content is limited equally for any direction within the image.

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