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

Abstract

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.

An interactive holographic projection system that uses a hand-drawn interface with a consumer CPU

“…We selected datasets for 10 subjects (Nos. 10,11,12,22,28,68,71,88,95, and 98) at fast speed for the first try; i.e., we prepared 160 datasets in total. Since the original dataset was written in too small a region, for this experiment the coordinates and the input time were multiplied by a factor of 5; i.e., we enlarged the input coordinates while keeping the drawing speed.…”

Transmission of 3D Holographic Information via Conventional Communication Channels and the Possibility of Multiplexing in the Implementation of 3D Hyperspectral Images

“…It is noteworthy that, today, the main efforts of developers are focused on mathematical methods of processing received holographic signals, often divorced from physical processes. This consists of polygonal and voxel graphics, born from the idea of a point cloud, only in the first case an elementary object from a point is modified into a triangle, a network of which covers the indivisible surface of a 3D object [25][26][27], and in the second into cubes, an array of which creates a 3D picture of a three-dimensional, dynamically changing object, with the possibility of expanding it, such as the creation of splashes from a moving and developing wave [28][29][30].…”

Enhancing the Quality of Sampled Phase-Only Hologram (SPOH) Based on Time-Division Comb Filtering

“…The process of generating a digital Fresnel hologram is briefly outlined as follows. There are polygon-based [27] and point-based [28] methods. In this paper, we deal with the point-based method.…”