Computer Generated Holograms from 3D Meshes using an Analytic Light Transport Model

1 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 dependant 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 SLM-based display by our proof-of-concept software. References 1. M. Lucente, " Interactive computation of holograms using a look-up table, " Jour-Real-time holographic video images with commodity pc hardware, " in " Proc. " Special-purpose computer horn-5 for a real-time electroholography, " Opt. Ex-holography using a graphics processing unit, " Opt. Computer generated holog-raphy using parallel commodity graphics hardware, " Opt. Express 14, 7636–7641 (2006). 7. D. Leseberg and C. Frère, " Computer-generated holograms of 3-d objects composed of tilted planar segments, " Appl. Wave optical algorithm for creating digitally synthetic holograms of three-dimensional surface objects, " in " Proceedings of 9. K. Matsushima, " Computer-generated holograms for three-dimensional surface objects with shade and texture, " Appl. Performance of the polygon-source method for creating computer-generated holograms of surface objects, " in " Proceedings of ICO Topi-Frequency analysis of light diffraction between rotated planes, " Opt. Lett. 17, 556–558 (1992). 15. T. Tommasi and B. Bianco, " Computer-generated holograms of tilted planes by a spatial frequency approach, " J. A framework for holographic scene representation and image synthesis, " Tech. rep., Fast calculation method for optical diffraction on tilted planes by use of the angular spectrum of plane waves, " J. 19. K. Matsushima, " Exact hidden-surface removal in digitally synthetic full-parallax holograms, " in " Practical Holography XIX and Holographic Materials XI, " 4 (2005).