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7 September 2010 Reduction of LUT size using the relationship between pixel-pitch and reconstruction distance
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Recently, a novel look-up table (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 number of the fringe patterns to be stored in the LUT can be dramatically reduced by employing a new concept of the principal fringe pattern (PFP). In this method, the fringe patterns for other object points on each image plane can be obtained by simply shifting this precalculated PFP according to the displaced location values from the center to those points and adding them together. Fringe patterns for all object points located on each image plane can be generated by adding the shifted versions of the PFP. Therefore, the final CGH pattern for an object volume can be obtained by overlapping all PFPs generated on each depth-dependent image plane. Therefore, the size of LUT is determined by the amount of shift of the PFP. But, if the resolution of object is increased, the size of PFP is increased. Thus the size of LUT is increased. And also, if the pixel pitch of hologram is decreased, the amount of shift is increased. Thus the size of LUT is also increased. Therefore, in this paper, we propose the memory reduction method using the relation of pixel pitch of hologram and reconstruction distance. That is, size of PFP is reduced by controlling of the distance of object and pixel pitch while maintaining the quality of the video. Some experiments with a test 3-D object are carried out and the reduction ratio of LUT is analyzed.
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Jae-Ho Kim, Seung-Cheol Kim, and Eun-Soo Kim "Reduction of LUT size using the relationship between pixel-pitch and reconstruction distance", Proc. SPIE 7797, Optics and Photonics for Information Processing IV, 779716 (7 September 2010);

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