2013
DOI: 10.1364/ol.38.005172
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Fast calculation method for computer-generated cylindrical holograms based on the three-dimensional Fourier spectrum

Abstract: The relation between a three-dimensional (3D) object and its diffracted wavefront in the 3D Fourier space is discussed at first and then a rigorous diffraction formula onto cylindrical surfaces is derived. The azimuthal direction and the spatial frequency direction corresponding to height can be expressed with a one-dimensional (1D) convolution integral and a 1D inverse Fourier transform in the 3D Fourier space, respectively, and fast Fourier transforms are available for fast calculation. A numerical simulatio… Show more

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Cited by 21 publications
(4 citation statements)
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“…A hologram can then be generated from diffraction calculations for the light passing from each sectional color 2-D image to the hologram plane. A 3-D Fourier-spectrum approach 88,89 can yield planar as well as cylindrical holograms. Table 2 summarizes advantages and disadvantages of three CGH-calculation methods: the point-cloud, polygon, and multiview-image methods.…”
Section: Other Methodsmentioning
confidence: 99%
“…A hologram can then be generated from diffraction calculations for the light passing from each sectional color 2-D image to the hologram plane. A 3-D Fourier-spectrum approach 88,89 can yield planar as well as cylindrical holograms. Table 2 summarizes advantages and disadvantages of three CGH-calculation methods: the point-cloud, polygon, and multiview-image methods.…”
Section: Other Methodsmentioning
confidence: 99%
“…Therefore, it can generate 360 • field of view. Then a fast calculation method of CCGH based on three dimensional Fourier spectrum is proposed [11], and the Fourier transformation of the kernel function involving this convolution integral is analytically performed using a Bessel function expansion [12], which greatly reduces the computation time and memory usage. Jackin et al proposed a fast method for calculating cylindrical holograms based on wave propagation in spectral domain [13].…”
Section: Introductionmentioning
confidence: 99%
“…The authors later enhanced this method with a hidden-surface removal algorithm 28 and applied it to the calculation of cylindrical holograms. 29 Since the calculation time of the second step only depends on the hologram resolution and not on the sampling of the scene, this approach enables the fast calculation of highly detailed scenes.…”
Section: Introductionmentioning
confidence: 99%