Coding And Quantization Of Computer-Generated Phase Holograms With Error Diffusion

Severin Weissbach; Frank Wyrowski; Olof Bryngdahl

doi:10.1117/12.961691

26 October 1989 Coding And Quantization Of Computer-Generated Phase Holograms With Error Diffusion

Severin Weissbach, Frank Wyrowski, Olof Bryngdahl

Proceedings Volume 1136, Holographic Optics II: Principles and Applications; (1989) https://doi.org/10.1117/12.961691
Event: 1989 International Congress on Optical Science and Engineering, 1989, Paris, France

Abstract

Digital phase holograms offer the possibility to generate special light distributions with high diffraction efficiency. We call this distribution signal. Because phase holograms only influence the phase of the illuminating wave a coding of the spectrum of the signal is required. In practice that means: the discrete spectrum WiJ has to be modified by a nonlinearity operator to fulfil the phase hologram constraint |Wij|=1. In addition often a quantization of the phase values of Wij is desired. Due to the coding and quantization constraints noise may diminish the quality of the signal reconstruction. Several iterative coding techniques have been developed to overcome this shortcoming. We want to present a one step procedure for coding and quantization of digital phase holograms. It is related to the error correction and diffusion method suggested in electronic half toning (binarization of greytone images), and pulse density coding of amplitude holograms. Its basic idea is to diffuse the local error due to the coding or quantization at one pixel to the next to be processed. Flexibility exists in the choice of the diffusion weights which control the distribution of the errors and influence the shape of the noise in the Fourier plane of the manipulated distribution. We want to utilize this flexibility to spatially separate the noise from the signal.

Citation Download Citation

Severin Weissbach, Frank Wyrowski, and Olof Bryngdahl "Coding And Quantization Of Computer-Generated Phase Holograms With Error Diffusion", Proc. SPIE 1136, Holographic Optics II: Principles and Applications, (26 October 1989); https://doi.org/10.1117/12.961691

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
10 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Holograms

Quantization

Computer generated holography

Signal to noise ratio

Diffusion

Diffraction

Laser scanners

Show All Keywords

Keywords/Phrases

Search In:

Publication Years