An Improved Algorithm for 3D Reconstruction Integration Based on Stripe Reflection Method

Xu Gao,Peiji Guo

doi:10.4236/opj.2019.98b002

Abstract

This paper introduces the basic principle of stripe reflection method and proposes an improved algorithm on the traditional Southwell gradient iterative integration algorithm. The algorithm adds a coefficient value with an attenuation factor to the compensation height value and the value of the attenuation factor is changed by the determination of the compensation height threshold. Through computer simulation, the fitting error of the reconstructed surface show that the RMS of the new method is one order of magnitude better than the traditional algorithm and the PV value of the high frequency part is about 1/15 of the traditional algorithm. It is proved that the improved algorithm can effectively improve the convergence and noise resistance of the iterative algorithm.

Highlights

The fringe reflection method [1] is based on the simple principle of light reflection
This paper introduces the basic principle of stripe reflection method and proposes an improved algorithm on the traditional Southwell gradient iterative integration algorithm
The algorithm adds a coefficient value with an attenuation factor to the compensation height value and the value of the attenuation factor is changed by the determination of the compensation height threshold

Summary

Introduction

The fringe reflection method [1] is based on the simple principle of light reflection. Su Peng et al of the University of Arizona in the United States proposed a SCOTS testing method and successfully detected the 8.2 m GMT sub-mirror through high-precision calibration [2] [3]. The Sichuan University [4] [5] and the Chinese Academy of Sciences [6] have done a lot of research on the stripe reflection. This paper introduces the basic principle of the stripe reflection method and introduces an iterative algorithm based on the Southwell integration method. We propose a compensation algorithm with attenuation factor parameters based on the traditional iterative integration. The computer simulation results show that the new method has better convergence in a single iteration compared with the traditional method. The algorithm for changing the coefficient has a better fitting result than the algorithm without changing the coefficient, and verifies the superiority of the improved algorithm

The Basic Principle of the Stripe Reflection Method

Gradient Integral Algorithm Analysis

Southwell Model Algorithm

Improved Iterative Algorithm Based on Southwell Model

Computer Simulation

Summary and Discussion