There are many researches for CGH (Computer-Generated Hologram) to display virtual 3-D objects [1–5]. Matsushima proposed his method that describes virtual 3-D objects as aggregate of surface light sources and calculates the wave propagation even though the surfaces are not parallel to the hologram plane. He also mentioned about the adjusting of luminous intensity [1]. In addition, he expanded his method to use shifted Fresnel transform [6] to calculate the wave propagation rapidly [2]. K. Yamaguchi and Sakamoto described virtual 3-D objects as aggregate of surfaces and provided reflection feature to each surface [3]. Their method divides a surface into tiny sub-surfaces and decides their normal directions using probability. M. Yamaguchi proposed his method that used both ray trace and wave propagation. Even though it adopts ray trace around 3-D objects to reduce calculation time, his method can generate less-blurring CGH [7]. T. Yamaguchi and Yoshikawa presented virtual 3-D objects as aggregate of point light sources and generated cylindrical hologram [4]. In the paper, he also mentioned a method to use GPU (Graphics Processing Unit) for rapid calculation. Shimobaba and Ito developed specific hardware to generate hologram quickly [5], where virtual 3-D objects were described as aggregate of point light sources.

© 2010 Optical Society of America

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