Computer-Generated-Hologram

✨This library introduces the current production process of computer holography, and uses MATLAB and Python to record and reproduce holograms. In the future, I will build a computer hologram simulation framework or a simulation application program.

Introduction

CGH stands for computer-generated holograms (CGH). Holograms are unique in their ability to record both the intensity and phase of information.

More Resource to learn holography 👉 Awesome Holography👈

Summary of CGH Tips: Tips

Types of CGH

Point-based methods
Polygon-based methods
Layer-based methods
Ray-tracing
Geometric primitives & basis functions
Holographic Stereograms

Phase Optimization Methods

Overview

Iterative Method
- GS，GSW，Fienup，AA
- Error Diffusion Method
Non-Iterative Method
- Random Phase
- Sample Method
  - Sampled-Phase-only Hologram
  - Complementary phase-only hologram
  - Adaptive Down-Sampling Mask
- Patterned Phase-Only Hologram and Quadratic Phase
- Double-Phase Method
- Non-Random Phase-Free Method
Direct Computation
- Direct Search Algorithm
- Simulated Annealing Algorithm
- Genetic Algorithm
Combination of iteration and non-iteration
Wirtinger Flow
Deep Learning

Iterative Method

The iterative algorithm usually starts from an approximation of the target hologram, and continuously optimizes the approximate hologram through a series of repeated operations until the reconstructed image obtained by the approximation meets certain error requirements.

GS-Base Algorithm

According to the amplitude distribution of the hologram plane and the reconstructed image plane, the phase information of the light field in the hologram plane can be obtained by iterating the forward and reverse light wave transmission and the restrictions imposed on the two planes.

Algorithm	Paper	Link
GS(Gerchberg-Saxton) Algorithm	👉Paper	Code
Fienup Algorithm	👉Paper	Code

Error Diffusion Method

The error diffusion algorithm iterates between the pixels of the hologram plane in turn, rather than between the hologram plane and the object image plane，Without any information of the object image, only the complex amplitude hologram itself can be directly operated on it and a pure phase hologram can be calculated.

Algorithm	Paper	Link
Error Diffusion Algorithm	👉Paper	Code

Complex Amplitude Modulation

Double-Phase hologram (DPH)：Code | Paper
Hologram bleaching
Double-constraint iterative method

Propagation Field

Fresnel diffraction method

Based on single Fourier transform and Convolution calculation.
Fresnel diffraction propagator is implemented Here.

Angular spectrum method

Angular spectrum propagator is implemented Here.

CGH Examples

CGH Type	Document	Link
Circuitous Phase Type Hologram/Fourier Hologram	👉Doc	Code
Kinoform【POH】	👉Doc	Code
Fresnel Hologram【AOH】	👉Doc	Code
Off Axis Interference Hologram【AOH】	👉Doc	Code
Layer_Based Hologram【POH】	👉Doc	Code

Usage

Working on a hologram simulation API.

git clone https://github.com/JackHCC/Computer-Generated-Hologram.git
cd Computer-Generated-Hologram
pip install requirements.txt

Experiment

Go 👉Here👈 to try generating CGH！

You can get some awesome holograms and images!

Contact

If you have any questions or good ideas, please contact: jackcc0701@163.com

References

Hao-zhen BU, Shu-ming JIAO. Review of computer-generated phase-only hologram optimization algorithm[J]. Chinese Journal of Liquid Crystals and Displays, 2021, 36(6):810-826. DOI： 10.37188/CJLCD.2021-0035.
Pi, D., Liu, J. & Wang, Y. Review of computer-generated hologram algorithms for color dynamic holographic three-dimensional display. Light Sci Appl 11, 231 (2022).
David Blinder, Tobias Birnbaum, Tomoyoshi Ito, Tomoyoshi Shimobaba. The state-of-the-art in computer generated holography for 3D display[J]. Light: Advanced Manufacturing 3, 35(2022).

tbergman/Computer-Generated-Hologram