Abstract
In computer-generated hologram (CGH) calculations, a diffraction pattern needs to be calculated from all points of a 3-D object, which requires a heavy computational cost. In this paper, we propose a novel fast computer-generated hologram calculation method using sparse fast Fourier transform. The proposed method consists of two steps. First, the sparse dominant signals of CGHs are measured by calculating a wavefront on a virtual plane between the object and the CGH plane. Second, the wavefront on CGH plane is calculated by using the measured sparsity with sparse Fresnel diffraction. Experimental results proved that the proposed method is much faster than existing works while it preserving the visual quality.
Highlights
Holographic 3-D is a promising technology in realistic 3-D display, which could provide fully satisfying 3-D perception without shutter/polarized 3D glasses in the 3-D stereoscopy [1]
We propose a novel fast computer-generated hologram (CGH) calculation method using the sparsity of holographic fringe patterns
The experiments show that the CGHs of 3-D object are signals which are sparse enough so that a 3-D object can be reconstructed with a small number of dominant CGH signals
Summary
Holographic 3-D is a promising technology in realistic 3-D display, which could provide fully satisfying 3-D perception without shutter/polarized 3D glasses in the 3-D stereoscopy [1]. In [3], a look-up table (LUT) based approach was proposed It could reduce the computational cost by pre-calculating and storing holographic fringe patterns. Based on the sparsity property of holographic fringe pattern, compressive holography methods were proposed that reconstruct original data from a small set of sampled signals [18, 19]. We propose a novel fast CGH calculation method using the sparsity of holographic fringe patterns. The experiments show that the CGHs of 3-D object are signals which are sparse enough so that a 3-D object can be reconstructed with a small number of dominant CGH signals Based on this observation, we propose a fast CGH calculation using the sparsity of the CGHs. 2) The sparsity property of holographic fringe pattern is calculated in the wavefront on a virtual plane.
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