High computational requirements often limit computer-generated holography (CGH). Phase-added stereogram methods reduce this cost by approximating point-spread functions by plane wave segments. While this sparse representation allows for a speedup, this approximation introduces blocking artifacts and reduces accuracy. We present a novel approach that integrates the Gabor transform to make sparse diffraction calculations. Additionally, we partition the point cloud into Lozenge-shaped cells, optimizing memory management on GPU architectures by using cache-friendly operations. Experimental results on large point clouds demonstrate a significant improvement in speed and accuracy, achieving up to a 47× speedup over optimized brute-force methods with enhanced quality over classic phase-added stereograms.
Moussa Fares, B, Kim, H, Schelkens, P & Blinder, D 2025, 'Sparse point cloud computer-generated holography with the Gabor transform', Optics Express, vol. 33, no. 16, pp. 34303-34319. https://doi.org/10.1364/OE.565177
Moussa Fares, B., Kim, H., Schelkens, P., & Blinder, D. (2025). Sparse point cloud computer-generated holography with the Gabor transform. Optics Express, 33(16), 34303-34319. https://doi.org/10.1364/OE.565177
@article{2c210f8af4fb49b6a48f60ba4e4e0a97,
title = "Sparse point cloud computer-generated holography with the Gabor transform",
abstract = "High computational requirements often limit computer-generated holography (CGH). Phase-added stereogram methods reduce this cost by approximating point-spread functions by plane wave segments. While this sparse representation allows for a speedup, this approximation introduces blocking artifacts and reduces accuracy. We present a novel approach that integrates the Gabor transform to make sparse diffraction calculations. Additionally, we partition the point cloud into Lozenge-shaped cells, optimizing memory management on GPU architectures by using cache-friendly operations. Experimental results on large point clouds demonstrate a significant improvement in speed and accuracy, achieving up to a 47× speedup over optimized brute-force methods with enhanced quality over classic phase-added stereograms.",
author = "{Moussa Fares}, Bilal and Hyun-su Kim and Peter Schelkens and David Blinder",
note = "Publisher Copyright: {\textcopyright} 2025 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement.",
year = "2025",
month = aug,
day = "5",
doi = "10.1364/OE.565177",
language = "English",
volume = "33",
pages = "34303--34319",
journal = "Optics Express",
issn = "1094-4087",
publisher = "The Optical Society",
number = "16",
}