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.
© 2008 Optical Society of America
Original Manuscript: August 20, 2007
Revised Manuscript: December 3, 2007
Manuscript Accepted: January 29, 2008
Published: March 31, 2008
Lukas Ahrenberg, Philip Benzie, Marcus Magnor, and John Watson, "Computer generated holograms from three dimensional meshes using an analytic light transport model," Appl. Opt. 47, 1567-1574 (2008)