Computer generated holograms from three dimensional meshes using an analytic light transport model

L. Ahrenberg, Philip William Benzie, M. Magnor, John Watson

Research output: Contribution to journalArticle

108 Citations (Scopus)

Abstract

We present a method to analytically compute the light distribution of triangles directly in frequency space. This allows for fast evaluation, shading, and propagation of light from 3D mesh objects using angular spectrum methods. The algorithm complexity is only dependent on the hologram resolution and the polygon count of the 3D model. In contrast to other polygon based computer generated holography methods we do not need to perform a Fourier transform per surface. The theory behind the approach is derived, and a suitable algorithm to compute a digital hologram from a general triangle mesh is presented. We review some first results rendered on a spatial-light-modulator-based display by our proof-of-concept software.
Original languageEnglish
Pages (from-to)1567-1574
Number of pages8
JournalApplied Optics
Volume47
Issue number10
DOIs
Publication statusPublished - 1 Apr 2008

Fingerprint

polygons
Holograms
triangles
Computer generated holography
mesh
light modulators
holography
Fourier transforms
Display devices
computer programs
propagation
evaluation
Spatial light modulators

Keywords

  • Computer generated holography

Cite this

Computer generated holograms from three dimensional meshes using an analytic light transport model. / Ahrenberg, L.; Benzie, Philip William; Magnor, M.; Watson, John.

In: Applied Optics, Vol. 47, No. 10, 01.04.2008, p. 1567-1574.

Research output: Contribution to journalArticle

Ahrenberg, L. ; Benzie, Philip William ; Magnor, M. ; Watson, John. / Computer generated holograms from three dimensional meshes using an analytic light transport model. In: Applied Optics. 2008 ; Vol. 47, No. 10. pp. 1567-1574.
@article{b9ae2e7af4fe456f95d2fc8372cd55af,
title = "Computer generated holograms from three dimensional meshes using an analytic light transport model",
abstract = "We present a method to analytically compute the light distribution of triangles directly in frequency space. This allows for fast evaluation, shading, and propagation of light from 3D mesh objects using angular spectrum methods. The algorithm complexity is only dependent on the hologram resolution and the polygon count of the 3D model. In contrast to other polygon based computer generated holography methods we do not need to perform a Fourier transform per surface. The theory behind the approach is derived, and a suitable algorithm to compute a digital hologram from a general triangle mesh is presented. We review some first results rendered on a spatial-light-modulator-based display by our proof-of-concept software.",
keywords = "Computer generated holography",
author = "L. Ahrenberg and Benzie, {Philip William} and M. Magnor and John Watson",
year = "2008",
month = "4",
day = "1",
doi = "10.1364/AO.47.001567",
language = "English",
volume = "47",
pages = "1567--1574",
journal = "Applied Optics",
issn = "1559-128X",
publisher = "OPTICAL SOC AMER",
number = "10",

}

TY - JOUR

T1 - Computer generated holograms from three dimensional meshes using an analytic light transport model

AU - Ahrenberg, L.

AU - Benzie, Philip William

AU - Magnor, M.

AU - Watson, John

PY - 2008/4/1

Y1 - 2008/4/1

N2 - We present a method to analytically compute the light distribution of triangles directly in frequency space. This allows for fast evaluation, shading, and propagation of light from 3D mesh objects using angular spectrum methods. The algorithm complexity is only dependent on the hologram resolution and the polygon count of the 3D model. In contrast to other polygon based computer generated holography methods we do not need to perform a Fourier transform per surface. The theory behind the approach is derived, and a suitable algorithm to compute a digital hologram from a general triangle mesh is presented. We review some first results rendered on a spatial-light-modulator-based display by our proof-of-concept software.

AB - We present a method to analytically compute the light distribution of triangles directly in frequency space. This allows for fast evaluation, shading, and propagation of light from 3D mesh objects using angular spectrum methods. The algorithm complexity is only dependent on the hologram resolution and the polygon count of the 3D model. In contrast to other polygon based computer generated holography methods we do not need to perform a Fourier transform per surface. The theory behind the approach is derived, and a suitable algorithm to compute a digital hologram from a general triangle mesh is presented. We review some first results rendered on a spatial-light-modulator-based display by our proof-of-concept software.

KW - Computer generated holography

U2 - 10.1364/AO.47.001567

DO - 10.1364/AO.47.001567

M3 - Article

VL - 47

SP - 1567

EP - 1574

JO - Applied Optics

JF - Applied Optics

SN - 1559-128X

IS - 10

ER -