Fast Computer Generated Hologram Algorithm of Triangle Mesh Models

A fast calculation method to obtain the full-analytical frequency spectrum of a spatial triangle based on the three-dimensional (3D) affine transformation is presented. Computer-generated holograms (CGHs) of an object can then be generated rapidly using the angular spectrum for propagation. The derivation process in the theory, which has more preciseness, indicates a difference from previous methods based on affine transformations ([Appl. Opt.47, 1567 (2008)Appl. Opt.52, A290 (2013)]). The proposed method to achieve 3D transformation from an arbitrary triangle to a primitive triangle includes two steps: 3D rotation and 2D affine transformation. The overall transform matrix is given by the product of a rotation matrix and a 2D affine matrix. A modified back-face culling is also introduced based on exterior normal for correct occlusion relation. Several complex 3D objects are implemented successfully using the proposed method in numerical simulations and optical experiments. The resulting computation time demonstrates that the efficiency of the proposed method is enhanced as compared to that of previous works.

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Fast generation of full analytical polygon-based computer-generated holograms

Zhang

Wang

Poon

et al. 2018

Opt. Express

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Fast 3D Analytical Affine Transformation for Polygon-Based Computer-Generated Holograms

Fan

Zhang

et al. 2022

Applied Sciences

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We present a fast 3D analytical affine transformation (F3DAAT) method to obtain polygon-based computer-generated holograms (CGHs). CGHs consisting of tens of thousands of triangles from 3D objects are obtained by this method. We have attempted a revised method based on previous 3D affine transformation methods. In order to improve computational efficiency, we have derived and analyzed our proposed affine transformation matrix. We show that we have further increased the computational efficiency compared with previous affine methods. We also have added flat shading to improve the reconstructed image quality. A 3D object from a 3D camera is reconstructed holographically by numerical and optical experiments.

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Fast Computer Generated Hologram Algorithm of Triangle Mesh Models

Cited by 2 publications

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Fast generation of full analytical polygon-based computer-generated holograms

Fast generation of full analytical polygon-based computer-generated holograms

Fast 3D Analytical Affine Transformation for Polygon-Based Computer-Generated Holograms

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