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

Abstract

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.

Multiple-image authentication scheme based on the phase-only holograms

“…Computer generated holograms (CGH) are widely used in different scientific and technological fields, such as biomedical field 10,11 , 3D imaging 12 , image encryption 13 , etc. The generation of CGH involves the computation of the diffraction field of the light sources on the surface of the object.…”

Fast texture mapping for analytical polygon-based computer generated holography

“…In polygon-based computer-generated holography (CGH) [1][2][3][4][5], similar to computer graphics, three-dimensional objects are made up of polygons. In computer graphics, texture mapping can be done by adding some particular image information to the polygons to produce a realistic three-dimensional object.…”