Open Access

ARTICLE

Model Implementation and Analysis of a True Three-dimensional Display System

by Ye Tian^1,2, Yang Yang^1,*, Han Yang³, Ze Ji⁴

1 Changchun University of Science and Technology, Changchun, 130022, China
2 Tsinghua University, Beijing, 100084, China
3 Academy of Military Sciences, Beijing, 100166, China
4 Cardiff University, Cardiff, CF24 3AA, UK

* Corresponding Author: Yang Yang. Email:

Computer Systems Science and Engineering 2021, 39(3), 403-414. https://doi.org/10.32604/csse.2021.016357

Received 31 December 2020; Accepted 11 March 2021; Issue published 12 August 2021

Abstract

To model a true three-dimensional (3D) display system, we introduced the method of voxel molding to obtain the stereoscopic imaging space of the system. For the distribution of each voxel, we proposed a four-dimensional (4D) Givone–Roessor (GR) model for state-space representation—that is, we established a local state-space model with the 3D position and one-dimensional time coordinates to describe the system. First, we extended the original elementary operation approach to a 4D condition and proposed the implementation steps of the realization matrix of the 4D GR model. Then, we described the working process of a true 3D display system, analyzed its real-time performance, introduced the fixed-point quantization model to simplify the system matrix, and derived the conditions for the global asymptotic stability of the system after quantization. Finally, we provided an example to prove the true 3D display system’s feasibility by simulation. The GR-model-representation method and its implementation steps proposed in this paper simplified the system’s mathematical expression and facilitated the microcontroller software implementation. Real-time and stability analyses can be used widely to analyze and design true 3D display systems.

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