Electro-holography is a promising 3D display technology, as it can, in principle, account for all visual cues. Computing the interference patterns to drive them is highly calculation-intensive, requiring the design and development of efficient computer-generated holography (CGH) algorithms to facilitate real-time display. In this work, we propose a new algorithm for computing the CGH for arbitrary 3D curves using splines, as opposed to previous solutions, which could only draw planar curves. The solutions are analytically expressed; we conceived an efficiently computable approximation suitable for GPU implementations. We report over 55-fold speedups over the reference point-wise algorithm, resulting in real-time 4K holographic video generation of complex 3D curved objects. The proposed algorithm is validated numerically and optically on a holographic display setup.
Blinder, D, Nishitsuji, T & Schelkens, P 2023, 'Three-dimensional spline-based computer-generated holography', Optics Express, vol. 31, no. 2, pp. 3072-3082. https://doi.org/10.1364/OE.480095
Blinder, D., Nishitsuji, T., & Schelkens, P. (2023). Three-dimensional spline-based computer-generated holography. Optics Express, 31(2), 3072-3082. https://doi.org/10.1364/OE.480095
@article{d1ca406635be42cfbe0db78f56adce11,
title = "Three-dimensional spline-based computer-generated holography",
abstract = "Electro-holography is a promising 3D display technology, as it can, in principle, account for all visual cues. Computing the interference patterns to drive them is highly calculation-intensive, requiring the design and development of efficient computer-generated holography (CGH) algorithms to facilitate real-time display. In this work, we propose a new algorithm for computing the CGH for arbitrary 3D curves using splines, as opposed to previous solutions, which could only draw planar curves. The solutions are analytically expressed; we conceived an efficiently computable approximation suitable for GPU implementations. We report over 55-fold speedups over the reference point-wise algorithm, resulting in real-time 4K holographic video generation of complex 3D curved objects. The proposed algorithm is validated numerically and optically on a holographic display setup.",
author = "David Blinder and Takashi Nishitsuji and Peter Schelkens",
note = "Funding Information: Japan Society for the Promotion of Science (22H03616, International research fellow P22752); Fonds Wetenschappelijk Onderzoek (12ZQ220N, 12ZQ223N, VS07820N). Publisher Copyright: {\textcopyright} 2023 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement Copyright: Copyright 2023 Elsevier B.V., All rights reserved.",
year = "2023",
month = jan,
day = "16",
doi = "10.1364/OE.480095",
language = "English",
volume = "31",
pages = "3072--3082",
journal = "Optics Express",
issn = "1094-4087",
publisher = "The Optical Society",
number = "2",
}