Semi-analytic texturing algorithm for polygon computer-generated holograms

Abstract

A texturing method for the semi-analytic polygon computer-generated hologram synthesis algorithm is studied. Through this, the full-potential and development direction of the semi-analytic polygon computer-generated holograms are discussed and compared to that of the conventional numerical algorithm of polygon computer-generated hologram generation based on the fast Fourier transform and bilinear interpolation. The theoretical hurdle of the semi-analytic texturing algorithm is manifested and an approach to resolve this problen. A key mathematical approximation in the angular spectrum computer-generated hologram computation, as well as the trade-offs between texturing effects and computational efficiencies are analyzed through numerical simulation. In this fundamental study, theoretical potential of the semi-analytic polygon computer-generated hologram algorithm is revealed and the ultimate goal of research into the algorithm clarified.

Review of real-time reconstruction techniques for aerial-projection holographic displays

“…6,7,10-13,18-43 Figure 3 is a schematic of the polygon method. [60][61][62][63][64] The polygon method expresses a 3-D object as an aggregate of planar polygons. We can obtain hðx H ; y H ; 0Þ by accumulating the light diffracted from each polygon to the hologram plane.…”

Recent progress in computer-generated holography for three-dimensional scenes

“…A linearly interpolated amplitude [17] or a textured pattern [18,19] are also used, however, for a more realistic representation of 3D objects with the given number of triangular meshes.…”

Real-Time Diffraction Field Calculation Methods for Computer-Generated Holograms

“…Another 3D object generation method is based on stitching small planar patches. As in the process of diffraction field calculation from point cloud objects, once again the diffracted fields from each patch are superposed to obtain the diffraction field of the object [45][46][47][48][49][50][51][52][53][54][55]. The third method which can be used in the generation of synthetic 3D object is based on having multiple two-dimensional (2D) cross sections of the object along the longitudinal axis.…”