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7 September 2010 Efficient CGH generation of three-dimensional objects using line-redundancy and novel-look-up table method
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In general, adjacent pixels of a 3-D image have very similar values of intensity and depth and some of them even have the exactly same values of them each other. In other words, a 3-D image has a spatial redundancy in intensity and depth data. This spatial redundancy can be represented with the run-length encoding method, which has been used for data reduction of the conventional 2-D images. Also, when these redundancies are expanded by line scale, the values of the line have similar value of the previous line. Recently, N-LUT method to dramatically reduce the number of pre-calculated interference patterns required for generation of digital holograms was proposed. In this method, the fringe patterns for other object points on each image plane can be obtained by simply shifting this pre-calculated PFP according to the displaced location values from the center to those points and adding them together. Accordingly, CGH pattern for arbitrary line is shifted with amount of discretization step for the direction of next line, same images for arbitrary line are generated in the next line. And then differences between two lines are occurred, these differences are compensated in CGH pattern using the N-LUT method. Accordingly, in this paper, a new approach for fast computation of CGH patterns for the 3-D image by taking into account of the line-redundancy between lines of the 3-D image is proposed. Some experiments with a test 3-D object are carried out and the results are compared to those of the conventional methods.
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Woo-Young Choe, Seung-Cheol Kim, and Eun-Soo Kim "Efficient CGH generation of three-dimensional objects using line-redundancy and novel-look-up table method", Proc. SPIE 7797, Optics and Photonics for Information Processing IV, 779715 (7 September 2010);

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