量子光学表象与变换理论及其在光学相关器中的应用研究

项目名称： 量子光学表象与变换理论及其在光学相关器中的应用研究

项目编号： No.11304126

项目类型： 青年科学基金项目

立项/批准年度： 2014

项目学科： 数理科学和化学

项目作者： 吕翠红

作者单位： 江苏大学

项目金额： 25万元

中文摘要： 光学相关器是利用透镜的傅立叶变换特性进行图像相关运算的光信息处理系统，在高速实时图像识别、目标跟踪、运动图像补偿、数据加密等领域有着广泛的应用。针对光学相关器存在的畸变不变特征识别问题以及识别能力弱等缺点，本项目运用将量子光学表象与变换理论和傅里叶光学理论结合起来的方法研究各种光学变换及其在光学相关器中的应用问题。一方面，研究各种光学变换及其关联性，构建新的光学变换或者组合光学变换、可控的有规律可循的畸变，以探索更多可行的光学相关器理论模型。另一方面，研究提出新的光学小波变换并将其应用于对联合相关器输入图像的预处理中，以期从新的角度来提高传统联合变换相关器的识别能力。本项目对量子光学表象和变换理论进行深入的系统研究，这将进一步发展和完善光学变换理论，并为解决相关器综合畸变问题和提高相关器识别能力提供新的技术途径。

中文关键词： 多模纠缠态表象；分数压缩变换；复分数压缩变换；函数空间；

英文摘要： Optical correlator is an optical information processing system to realize image correlation operation based on Fourier transform characteristics of lens, which has wide applications in the fields of high-speed real-time image recognition, target tracking, motion image compensation, data encryption, etc.. Due to the distortion invariant feature recognition problems and the weak recognition capability existing in optical correlators, in this project, we study various optical transforms and their applications in optical correlator via the method by combining the quantum optical representation and transform theory with the Fourier optical theory. On the one hand, after studying various optical transforms and their relevance, we construct new controllable distortions following certain rules and optical complementary transforms to propose more feasible optical correlator models.On the other hand, We will study and propose new mother-wavelets and their corresponding wavelet transforms, and then apply them to the preprocessing of input image in joint transform correlator(JTC), which will improve the recognition capability of JTC from a new perspective. We will systemically study the quantum optical representation and transform theory, and the implementation of our project will further enrich and develop the optical tra

英文关键词： Multipartite entangled state；Fractional squeezing transformation；Complex fractional squeezing transformation；Function space；