Precalculation methods for computer-generated holograms provide fast calculation by transforming precalculated object light in accordance with the subject shape in the spatial domain. In this paper, a novel method is proposed that uses precalculated object light recorded on a spherical surface, which makes the data size half that of the conventional method. Moreover, representations of the transforms by homogeneous coordinates on the spherical surface are discussed. These representations allow common operations of transforms and solve the calculation complexity that conventional precalculation methods have. The effectiveness of the proposed method was confirmed by optical image-reconstruction experiments successfully.
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