Neural Holography Codex
A growable codex of research on neural holography displays.
Notice
Note
This repository is an ongoing personal survey about the current landscape of holographic display researchs with AI. The original resources were partly adapted from Brian Chao's awesome-holography project. I would like to thank Brian Chao and the authors of the following works for providing great ideas on holography display research.
Fork maintainer: Jinwoo Lee (cinescope@kaist.ac.kr)
Overview
Neural holography is an inherently interdisciplinary field where wave optics, computer graphics, computational imaging, vision, display hardware, perception, fabrication, and machine learning constantly meet. That breadth is part of what makes the area exciting, but it also means that useful ideas are often scattered across communities that do not always share the same language, venues, or evaluation habits.
This list is an attempt to make those connections easier to see. The goal is not only to archive papers, but to help researchers from different backgrounds inherit, reinterpret, and extend one another's ideas. Ideally, that kind of shared map can support a small Cambrian explosion of reusable methods, clearer comparisons, and new experiments that would be harder to discover from within any single silo.
In that sense, it is also a reminder that the wonderland Ivan Sutherland imagined in The Ultimate Display is still shimmering ahead of us, waiting to be built.
How to Use This List
This README works best as a codex: start from the question you care about, then dive into the corresponding paper clusters.
| Goal | Start here | Then continue with |
|---|---|---|
| Build intuition for the field | Background and Theory | Survey Papers, Learned Propagation Model Methods |
| Understand CGH algorithm families | Traditional Heuristic Methods | Iterative Methods, Learned Hologram Synthesis Methods |
| Focus on hardware and display constraints | Topics in Holographic Display Systems | Perception-related Research, Small Form-factor Displays |
| Map the research community | Labs and Research Groups | Software, Venues and Communities, Media and Resources |
Reading Conventions
(Author et al. Year | Venue, Publisher)shows the publication context at a glance.- Short descriptions are added only when the title alone does not make the main contribution obvious.
CGHmeans computer-generated holography,CITLmeans camera-in-the-loop,SLMmeans spatial light modulator, andHOEmeans holographic optical element.Labs and Research Groups,Software,Venues and Communities, andMedia and Resourcesare best treated as reference appendices after you have a method-level overview.
Background, Theory, and Survey
Background and Theory
- Introduction to Fourier Optics by Joseph W. Goodman is a great book to learn the basics of wave propagation and holography.
- Numerical simulation of optical wave propagation: With examples in MATLAB by Jason D. Schmidt walks you through the nitty-gritty details of implementing optial wave propagation.
Survey Papers
- Toward the next-generation VR/AR optics: a review of holographic near-eye displays from a human-centric perspective (Chang et al. 2020 | Optica, Optica)
- Deep learning in holography and coherent imaging (Rivenson et al. 2019 | Light: Science and Applications, Nature)
Computer Generated Holography (CGH) Algorithms
This section mainly focuses on the algorithmic aspect of holographic display systems.
Quick map:
Traditional Heuristic Methods: closed-form, geometry-driven, or display-inspired baselines.Iterative Methods: optimize holograms by repeatedly propagating wavefields and enforcing constraints.Learned Propagation Model Methods: learn the mismatch between ideal propagation and real hardware.Learned Hologram Synthesis Methods: directly predict holograms or intermediate wavefields with neural networks.
Traditional Heuristic Methods
Point-based Methods
- Computer-generated double-phase holograms (Hsueh et al. 1978 | Applied Optics, Optica) proposed to decompose a complex field into two phase-only components to generate holograms using a single phase-only SLM.
- Holographic Near-Eye Displays for Virtual and Augmented Reality (Maimone et al. 2017 | Transactions on Graphics (TOG), ACM) proposed a holographic near-eye display system based on the double phase encoding scheme.
- Monocular 3D see-through head-mounted display via complex amplitude modulation (Gao et al. 2016 | Optics Express, Optica)
- Near-eye Light Field Holographic Rendering with Spherical Waves for Wide Field of View Interactive 3D Computer Graphics (Shi et al. 2017 | Transactions on Graphics (TOG), ACM) uses point-source illumination rather than plane-wave illumination to improve the FOV of holograhic displays.
Polygon/Mesh-based Methods
- Computer-generated holograms of 3-D objects composed of tilted planar segments (Leseberg et al. 1988 | Applied Optics, Optica)
- Computer-generated holograms of tilted planes by a spatial frequency approach (Tommasi et al. 1993 | Journal of the Optical Society of America A, Optica)
- Computer-generated holograms for three-dimensional surface objects with shade and texture (Matsushima 2005 | Applied Optics, Optica)
- Extremely high-definition full-parallax computer-generated hologram created by the polygon-based method (Matsushima et al. 2009 | Applied Optics, Optica)
- Silhouette method for hidden surface removal in computer holography and its acceleration using the switch-back technique (Matsushima et al. 2014 | Optics Express, Optica)
- Computer generated holograms from three dimensional meshes using an analytic light transport model (Ahrenberg et al. 2008 | Applied Optics, Optica)
- Fast and effective occlusion culling for 3D holographic displays by inverse orthographic projection with low angular sampling (Jia et al. 2014 | Applied Optics, Optica)
Layer-based Methods
- Computer-generated hologram with occlusion effect using layer-based processing (Zhang et al. 2017 | Applied Optics, Optica)
- Accurate calculation of computer-generated holograms using angular-spectrum layer-oriented method (Zhao et al. 2015 | Optics Express, Optica)
- Improved layer-based method for rapid hologram generation and real-time interactive holographic display applications (Chen et al. 2015 | Optics Express, Optica)
- Computer generated hologram with geometric occlusion using GPU-accelerated depth buffer rasterization for three-dimensional display (Chen et al. 2009 | Applied Optics, Optica)
Holographic Stereograms
- Holographic near-eye displays based on overlap-add stereograms (Padmanaban et al. 2019 | SIGGRAPH Asia, ACM)
- Layered holographic stereogram based on inverse Fresnel diffraction (Zhang et al. 2016 | Applied Optics, Optica)
- Fully computed holographic stereogram based algorithm for computer-generated holograms with accurate depth cues (Zhang et al. 2015 | Optics Express, Optica)
Iterative Methods
A family of iterative methods is based on the Gerchberg-Saxton (GS) Algorithm where the phase and amplitute patterns at two planes are updated iteratively as the wave propagates back and forth between the two planes:
- A practical algorithm for the determination of phase from image and diffraction plane pictures (Gerchberg et al. 1972 | Optik, Elsevier) proposed the Gerchberg-Saxton (GS) Algorithm
- Mix-and-Match Holography (Peng et al. 2017 | SIGGRAPH Asia, ACM) proposed an interative phase-retrieval method built upon GS
- Fresnel ping-pong algorithm for two-plane computer-generated hologram display (Dorsch et al. 1994 | Applied Optics, Optica)
Other optimization based methods leverage gradient descent or non-convex optimization techniques to optimize the phase pattern of the SLM:
Perceptual-driven loss designs
- Accommodative Holography: Improving Accommodation Response for Perceptually Realistic Holographic Displays (Kim et al. 2022 | SIGGRAPH, ACM) analyzed the user accomodation performance when using different CGH methods and proposed a novel constrast ratio-based regularization loss that promotes better accomodation cues.
- Metameric Varifocal Holograms (Walton et al. 2022 | VR, IEEE) proposed a foveated graphics-inspired, gaze-contingent loss function that can be easily integrated into CGH optimization. The loss enforces the defocus image regions to only statistically match the defocus target image regions rather than pixel-wise reconstruction. This increases the degrees of freedom for the hologram to distribute light (compared to fitting a focal stack), thus reducing speckle artifacts.
- Realistic Defocus Blur for Multiplane Computer-Generated Holography (Kavaklı et al. 2021) proposed a novel loss function aimed to synthesize high quality defocus blur, and can be intergated in various iterative (GS, gradient-descent) and non-iterative (double phase encoding) methods.
- Gaze-Contingent Retinal Speckle Suppression for Perceptually-Matched Foveated Holographic Displays (Chakravarthula et al. 2021 | TVCG, IEEE)
Others
- Hogel-free Holography (Chakravarthula et al. 2022 | SIGGRAPH, ACM)
- Optimization of computer-generated holograms featuring phase randomness control (Yoo et al. | Optics Express, Optica) leveraged a learned DPAC encoding optimized using gradinet descent to promote phase randomness, which in turn increases the space-bandwidth product of the display system.
- Multi-depth hologram generation using stochastic gradient descent algorithm with complex loss function (Chen et al. 2021 | Optics Express, Optica)
- Wirtinger Holography for Near-Eye Displays (Chakravarthula et al. 2019 | SIGGRAPH Asia, ACM) optimizes the phase-only SLM pattern using closed-form Wirtinger complex derivatives in gradient descent.
- 3D computer-generated holography by non-convex optimization (Zhang et al. 2017 | Optica, Optica)
Unfortunately, iterative methods are inherently slow and thus not suitble for real-time CGH. See this section for speeding up hologram synthesis using neural networks.
Learned Propagation Model Methods
There are often mismatches between a ideal wave propagation model (e.g. ASM) with the actual physical display setup. A major focus in deep learning for CGH is using camera-in-the-loop (CITL) training to learn an accurate free space wave propagation and optical hardware model for holographic displays:
- Neural Holography with Camera-in-the-loop Training (Peng et al. 2020 | SIGGRAPH, ACM) is the first to use camera-in-the-loop training (CITL) to optimize a parameterized wave propagation model, where optical aberrations, SLM non-linearities, and etc are learned from data. A CNN is also proposed to synthesize 2D and 3D holograms in real-time.
- Neural 3D Holography: Learning Accurate Wave Propagation Models for 3D Holographic Virtual and Augmented Reality Displays (Choi et al. 2021 | SIGGRAPH Asia, ACM) uses two CNNs to directly model optical aberrations, SLM non-linearities, and etc, at the input plane and multiple target planes. The usage of two CNNs introduces more degrees of freedom than that of the parameterized propagation model proposed in Peng et al. 2020, such that higher quality 3D holograms can be achieved.
- Time-multiplexed Neural Holography: A Flexible Framework for Holographic Near-eye Displays with Fast Heavily-quantized Spatial Light Modulators (Choi et al. 2022 | SIGGRAPH, ACM) leveraged time-multiplexed quantized SLM patterns to synthesize high quality defocus blur.
- Learned Hardware-in-the-loop Phase Retrieval for Holographic Near-Eye Displays (Chakravarthula et al. 2020 | SIGGGRAPH Asia, ACM) uses CITL to learn an aberration approximator that models the residual between holograms generated from ideal wave propagation (i.e. ASM) and real-world wave propagation models. An adversarial loss is used in addition to reconstruction loss to optimize the synthesized holograms.
- Learned holographic light transport (Kavaklı et al. 2021 | Applied Optics, Optica) learns the wave propagation convolution kernel directly from images captured by a physical holographic display, instead of using the ASM method to propagate fields.
Learned Hologram Synthesis Methods
These works often assume a naive wave propagation model (i.e. the angular spectrum method (ASM)), and directly regresses complex holograms using novel CNN architectures:
- End-to-end Learning of 3D Phase-only Holograms for Holographic Display (Liang et al. 2022 | Light: Science and Applications, Nature)
- Towards real-time photorealistic 3D holography with deep neural networks (Liang et al. 2021 | Nature, Nature)
- Diffraction-engineered holography: Beyond the depth representation limit of holographic displays (Yang et al. 2022 | Nature Communications, Nature)
- DeepCGH: 3D computer-generated holography using deep learning (Eybposh et al. 2020 | Optics Express, Optica) uses a CNN to estimate a complex field at a fixed plane from a set of 3D target multiplane inputs; the complex field is then reverse propagated to the SLM plane to generate a phase pattern.
- Deep neural network for multi-depth hologram generation and its training strategy (Lee et al. 2020 | Optics Express, Optica) directly estimates the SLM phase pattern from 3D target multiplane inputs using a CNN.
- Deep-learning-generated holography (Horisaki et al. 2018 | Applied Optics, Optica)
- Phase recovery and holographic image reconstruction using deep learning in neural networks (Rivenson et al. 2018 | Light: Science and Applications, Nature)
Topics in Holographic Display Systems
Use this section when the algorithm is not the whole story and the display system itself becomes the bottleneck.
Quick map:
Speckle Noise Reduction: reduce coherent artifacts and improve image quality.Perception-related Research: optimize the hologram for what observers actually see and accommodate to.Etendue Expansion: trade off field of view and eyebox size.Holographic Optical Elements (HOEs): use holographic optics inside the display stack.Small Form-factor Displays: reduce bulk for practical AR/VR hardware.Compression: lower bandwidth and computation costs.Zero or Higher Diffraction Orders Optimization: manage unwanted orders or exploit higher ones.
Speckle Noise Reduction
- Strategies for reducing speckle noise in digital holography (Bianco et al. 2018 | Light: Sciene and Applications, Nature)
Speckle noise is a result of interference among coherent waves, which is often present in holographic images since holographic displays use coherent laser sources. Methods for reducing speckle noise can roughly be catergorized into the following:
Time-averaging
- High‐contrast, speckle‐free, true 3D holography via binary CGH optimization (Lee et al. 2022 | Scientific Reports, Nature) optimized random phase, amplitude only SLMs using gradient descent and time-averaged them to reduce speckle noise.
- DCGH: Dynamic Computer Generated Holography for Speckle-Free, High Fidelity 3D Displays (Curtis et al. 2021 | IEEE, VR) simultaneously optimizes multiple binary, amplitude only SLMs in a modified Gerchberg-Saxton (GS) algorithm and time-averages them to reduce speckle noise.
Partially-coherent Light Sources
- Speckle-free holography with partially coherent light sources and camera-in-the-loop calibration (Peng et al. 2021 | Science Advaces, Science) uses partially coherent light sources (i.e. LED) and camera-in-the-loop optimization to reduce speckle noise.
- Light source optimization for partially coherent holographic displays with consideration of speckle contrast, resolution, and depth of field (Lee et al. 2020 | Scientific Reports, Nature)
- Holographic head-mounted display with RGB light emitting diode light source (Moon et al. 2014 | Optics Express, Optica)
Others
- Optimizing image quality for holographic near-eye displays with Michelson Holography (Choi et al. 2021 | Optica, Optica) uses 2 SLMs to correct for the unwanted interference caused by undiffracted light in single-SLM settings. A CITL procedure is also deployed to simultaneously optimize 2 SLM patterns.
Perception-related Research
Perception-aware holography work studies which image errors matter to human observers, how focus and accommodation cues should be optimized, and how gaze-contingent or metameric losses can trade exact reconstruction for better visual quality.
- Toward the next-generation VR/AR optics: a review of holographic near-eye displays from a human-centric perspective (Chang et al. 2020 | Optica, Optica)
- Accommodative Holography: Improving Accommodation Response for Perceptually Realistic Holographic Displays (Kim et al. 2022 | SIGGRAPH, ACM)
- Metameric Varifocal Holograms (Walton et al. 2022 | VR, IEEE)
- Realistic Defocus Blur for Multiplane Computer-Generated Holography (Kavakli et al. 2021)
- Gaze-Contingent Retinal Speckle Suppression for Perceptually-Matched Foveated Holographic Displays (Chakravarthula et al. 2021 | TVCG, IEEE)
Etendue Expansion
The product of the field of view (FoV) and the eyebox size, the etendue, is limited by the number of pixels on the SLM. Hence, there is an inherent tradeoff between these two properties.
- Pupil-aware Holography (Chakravarthula et al. 2022)
- Neural Etendue Expander for Ultra-Wide-Angle High-Fidelity Holographic Display (Baek et al. 2022)
- High Resolution étendue expansion for holographic displays (Kuo et al. 2020 | SIGGRAPH, ACM)
- Holographic Near-eye Display with Expanded Eye-box (Jang et al. 2018 | Transactions on Graphics (TOG), ACM)
Holographic Optical Elements (HOEs)
- Design and Fabrication of Freeform Holographic Optical Elements (Jang et al. 2020 | SIGGRAPH Asia, ACM)
- Retinal 3D: augmented reality near-eye display via pupil-tracked light field projection on retina (Jang et al. 2017 | SIGGRAPH Asia, ACM)
- Holographic display for see-through augmented reality using mirror-lens holographic optical element (Li et al. 2016 | Optics Letters, Optica)
- 3D holographic head mounted display using holographic optical elements with astigmatism aberration compensation (Yeom et al. 2015 | Optics Express, Optica)
Small Form-factor Displays
Bulky headsets hamper the development of AR/VR. Reducing the size of holographic displays are important:
- Holographic Glasses for Virtual Reality (Kim et al. 2022 | SIGGRAPH, ACM) presents a holographic display system with eyeglasses-like form factor. An optical stack of 2.5mm is achieved by combining pupil-replicating waveguide, SLMs, and geometric phase lenses.
- Holographic pancake optics for thin and lightweight optical see-through augmented reality (Cakmakci et al. 2021 | Optics Express, Optica)
- Holographic Optics for Thin and Lightweight Virtual Reality (Maimone et al. 2021 | SIGGRAPH, ACM)
Compression
CGH compression is also important for deploying holography technology on edge devices:
- Joint Neural Phase Retrieval and Compression for Energy- and Computation-efficient Holography on the Edge (Wang et al. 2022 | SIGGRAPH, ACM)
- Neural compression for hologram images and videos(Shi et al. 2022 | Optics Letters, Optica)
Zero or Higher Diffraction Orders Optimization
- Unfiltered holography: optimizing high diffraction orders without optical filtering for compact holographic displays (Gopakumar et al. 2021 | Optics Letters, Optica) incorporated higher diffraction orders into the CGH optimization procedure to remove the 4f filtering system often used in holographic displays, thus reducing the display form factor.
- Elimination of a zero-order beam induced by a pixelated spatial light modulator for holographic projection (Zhang et al. 2009 | Applied Optics, Optica)
- Holographic projection of arbitrary light patterns with a suppressed zero-order beam
- Effect of spurious diffraction orders in arbitrary multifoci patterns produced via phase-only holograms
- Off-axis camera-in-the-loop optimization with noise reduction strategy for high-quality hologram generation (Chen et al. 2022 | Optics Letters, Optica)
Labs and Research Groups
Academic Labs
- Computational Imaging Lab, Stanford University
- Computational Imaging Lab, Princeton University
- Computational Imaging, Carnegie Mellon University
- Computational Design & Fabrication Group, Massachusetts Institute of Technology
- Camera Culture, MIT Media Lab
- Computational Biophotonics Laboratory, UNC Chapel Hill
- Visual Computing and Augmented Intelligence Lab, UNC Chapel Hill
- Computational Light Laboratory, University College London
- Computational Imaging Group, KAUST
- Computational Imaging Group, POSTECH
- Reality Lab, Seoul National University
- Optical Engineering and Quantum Electronics Lab, Seoul National University
- WeLight Lab, The University of Hong Kong
- HoloLab, Tsinghua University
Industry Research Groups
- NVIDIA Research
- Display Systems Research, Meta Reality Labs
- Holographic Display Research Team, Samsung Advanced Institute of Technology
Software
Open-source software is often where algorithmic ideas, optical models, and hardware assumptions become concrete. This section collects reusable codebases that help bridge papers and practice.
- PADO: a PyTorch-based differentiable optics library for wave propagation, optical modeling, and inverse design workflows.
- PADO Hologram: a higher-level holography framework built on top of PADO for CGH experiments and display-aware workflows.
- HoloTorch: a differentiable wave-propagation and holography framework released by Meta Reality Labs Research.
Venues and Communities
This section tracks frequently referenced publication venues in holography and neural display research.
Journals
- ACM Transactions on Graphics (TOG)
- Light: Science & Applications
- Nature
- Nature Photonics
- Nature Communications
- Optica
- Optics Express
- Science
- Science Advances
Conferences
Workshops and Communities
- Computational Cameras and Displays (CCD) (CVPR 2025 workshop)
Media and Resources
Talks and Media
- Design of Holographic Display Systems based on Artificial Intelligence (Suyeon Choi, Silicon Valley ACM SIGGRAPH 2022)
- Could Deep Learning Improve Visual Quality in Holographic Displays? (Optica, 2022)