A location quantization algorithm for three-dimensional information display by using pure-phase computer-generated hologram
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We propose an efficient calculation method to display three-dimensional information with purephase computer-generated holograms (CGHs). The object composed of points is conventionally divided into a set of planar segments vertically along with the axis. In this way, the number of planar segments is less than the number of points, which means that the total number of diffractions needed to calculate decreases. However, it is low efficient, for sometimes one planar segment only contains one point. We propose to quantize the locations of planar segments to solve this problem. The simplest way to quantize locations is to divide the object into the equal interval planar segments parallel with each other in the axis. The points out of these planar segments are projected to their nearest segments. Compared to traditional CGHs, the proposed method dramatically reduces the computing cost. Both simulations and experiments demonstrate the feasibility of the location quantization algorithm.Keywords:
Computer-Generated Holography
In the construction process of computer-generated holograms (CGHs) it is possible to introduce and influence the phase in several ways: superpostion of a suitable phase variation onto (1) the object data and/or (2) the hologram itself. In contrast to optical holography it is easy to realize any desired phase distribution in computer holography.
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A new method of synthesizing computer-generated holograms of three-dimensional (3D) objects is proposed. Several projections of the 3D object are numerically processed to yield a two dimensional complex function, which is then encoded as a computer-generated hologram. When this hologram is illuminated by a plane wave, a 3D real image of the object is reconstructed. Although the hologram initially belongs to the type of Fourier holograms, Fresnel and image holograms are also generated by computing the propagation of the wave front from the Fourier plane to any other desired plane. Computer and optical constructions of 3D objects, both of which show the feasibility of the proposed approach, are presented.
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Holographic optical elements (HOEs) and computer generated holograms (CGHs) offer many attractive properties and uses. In this review, we consider the use of holography in pattern recognition, with specific attention to recent work with CGH elements.
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Dai Nippon Printing Co., Ltd. (DNP, Tokyo, Japan) has succeeded in recording Lippmann holograms with an image of Computer-Generated Holograms (CGHs). As Lippmann holograms are usually made by real three-dimensional object, design variation of the objects are restricted by the possibility of manufacturing the object. On the other hand, as CGHs are made by computer graphics (CG), many different kinds of virtual images can be built into holographic images. Also, it has very fine resolution because it is made by the Electron-Beam lithography system. By incorporating the image expression of the CGH into Lippmann hologram, we have developed a new hologram combining both CGHs and the Lippmann holograms.
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