Parallelity improvement of object function for phase diversity

ZHAO Jin-yu; CHEN Zhan-fang; WANG Bin; WANG Zong-Yang; ZHANG Nan; WANG Jian-li; WU Yuan-ha

doi:10.3788/OPE.20122002.0431

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Parallelity improvement of object function for phase diversity

Article | 更新时间：2020-08-12

- Parallelity improvement of object function for phase diversity
- Optics and Precision Engineering Vol. 20, Issue 2, Pages: 431-438(2012)
- 作者机构：
  
  1. 中国科学院长春光学精密机械与物理研究所, 吉林长春 130033
  2. 长春理工大学, 吉林长春130022
  3. 中国科学院研究生院北京,100039
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20122002.0431
  CLC： O439;TP391.4
- Received：10 March 2011，
  
  Revised：06 May 2011，
  
  Published Online：25 February 2012，
  
  Published：25 February 2012
- 稿件说明：
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赵金宇, 陈占芳, 王斌, 汪宗洋, 张楠, 王建立, 吴元昊, 张世学. 相位差异法目标函数的并行化改造[J]. 光学精密工程, 2012,20(2): 431-438

ZHAO Jin-yu, CHEN Zhan-fang, WANG Bin, WANG Zong-Yang, ZHANG Nan, WANG Jian-li, WU Yuan-hao, ZHANG Shi-xue. Parallelity improvement of object function for phase diversity[J]. Editorial Office of Optics and Precision Engineering, 2012,20(2): 431-438
赵金宇, 陈占芳, 王斌, 汪宗洋, 张楠, 王建立, 吴元昊, 张世学. 相位差异法目标函数的并行化改造[J]. 光学精密工程, 2012,20(2): 431-438 DOI： 10.3788/OPE.20122002.0431.

ZHAO Jin-yu, CHEN Zhan-fang, WANG Bin, WANG Zong-Yang, ZHANG Nan, WANG Jian-li, WU Yuan-hao, ZHANG Shi-xue. Parallelity improvement of object function for phase diversity[J]. Editorial Office of Optics and Precision Engineering, 2012,20(2): 431-438 DOI： 10.3788/OPE.20122002.0431.

摘要

考虑自适应光学波前探测技术利用相位差异法来估算波前相位畸变和恢复图像时运算量较大

难以用软件在PC平台上实现

而使用数字信号处理(DSP)和现场可编程门阵列(FPGA)搭建计算平台虽然可使运算并行化从而缩短运算时间

但其目标函数结构复杂

因此

本文利用泽尼克多项式的性质

提出了一种相位差异目标函数的改造方法。给出了改造后的目标函数计算公式和梯度计算公式

使相位差异法在每次计算目标函数时只进行多项式运算

从而不仅方便了用DSP和FPGA的硬件实现

也充分利用了硬件处理的并行性。设计了仿真实验和室内实际光路实验

分别以分辨率板和光纤光束为例对模拟图像和实际采集图像进行了恢复。实验结果表明

改造后的相位差异法仍具备较好的图像恢复能力

光纤光束成像分辨率显著提高

颗粒间轮廓清晰可见。

Abstract

The Phase Diversity (PD) method in adaptive optical waveforn detection shows great computations when it is used to estimate the wave-front phase aberration and to restore the degraded images

and it is difficult to increase the speed of PD to achieve its real time application on a PC platform. The computational-hardware such as Digital Signal Processor(DSP) and Field Programming Gate Array( FPGA) is a proper way to improve its performance

however

the complex structure of the PD object function and plenty of Fourier transformations in each computation loop influence on its hardware implementation. According to the theory of Zernike polynomial

a method which utilizes polynomial operation instead of Fourier transformations is proposed to modify the PD object function. The modified computing formula and gradient formula are given

by which the computation of the PD object function only depends on the polynomials and the hardware implementation of DSP

FPGA and the parallelism of hardware processing are more easily. A test and an experimental platform are designed

and simulative images and grabbed images for a resolution plate and an optical fiber bundle are restored respectively. Experiment results indicate that the modified PD is still a good means to restore the degraded images

the optical fiber bundle has a higher resolution and its particle profile can be distinguished.

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references

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