基于复变量实值函数求导的计算全息生成方法研究  

Research on computer generate hologram method based on derivation of real value function of complex variables

作　　者：陈昌岳 龚光红 李妮[1] CHEN Changyue;GONG Guanghong;LI Ni(School of Automation Science and Electrical Engineering,Beihang University,Beijing 100191,China)

机构地区：[1]北京航空航天大学自动化科学与电气工程学院,北京100191

出　　处：《中国体视学与图像分析》2023年第2期168-177,共10页Chinese Journal of Stereology and Image Analysis

基　　金：装备预研领域基金项目(No.61400010203)。

摘　　要：在全息图生成的相位检索法中,由于缺乏明确的相位更新约束条件,使得相位优化无法求得最优解,导致再现像质量不佳,可利用Wirtinger导数对相位更新梯度进行求解,提高再现像质量。本文使用复变量Wirtinger导数解决全息图选代生成时相位更新的梯度计算问题,并设计损失函数的可微模型,最终获得全息图生成的算法框架。本文通过研究基于复变量实值函数求导的全息图生成方法,设计可以生成具有高再现质量的计算全息图,并适用于各种损失函数模块的系统,实验表明,本算法提高了生成全息图的再现像质量。In the phase retrieval method of hologram generation,due to the lack of clear phase update constraints,the optimal solution of phase cannot be obtained,resulting in poor reconstruction image quality.The Wirtinger derivative can be used to solve the phase update gradient to improve the reconstructed image quality.In this paper,Wirtinger derivative of complex variable is used to solve the gradient calculation problem of phase update during iterative generation of holograms.A differentiable model of the loss function is designed,and finally the algorithm framework for hologram generation is obtained.This paper designs a system that can generate hologram with high quality and is suitable for various loss functions.A hologram generation method based on the derivative of a real value function of complex variables is studied.The experiment shows that the algorithm improves the reconstruction image quality of generated holograms.

关 键 词：相位检索 全息图生成 Wirtinger导数 再现质量提升 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]