联合分数变换相关器的分数相关特性分析

从分数傅里叶变换（FRFT）的定义出发，理论分析了联合分数变换相关器（JFRTC）的分数相关特性.从所得JFRTC的数学表达式中可以看出，将FRFT应用到联合变换相关器（JTC）中得到的JFRTC具有与传统JTC不同的性质.对于传统JTC，一旦输入平面上参考图像与目标图像之间的距离给定，相关输出峰的位置即确定，而JFRTC的相关输出峰的位置则可以由分数级次p₁和p₂来自由调节，这个特性在实际模式识别中非常有用.另一方面，JFRTC的相关输出峰值在大多数情况下低于传统JTC的相关峰值，却是JFRTC的一大缺点.最后，从FRFT的比例性质出发，给出了FRFT谱畸变不变的实现条件，并由此预言了JFRTC畸变不变模式识别的功能.     

光电混合综合判别相关器

论述了综合判别函数（ＳＤＦ）的基本理论，简明地给出了用综合判别函数实现畸变不变相关的技术途径。在此基础上，构造了一个光电混合综合判别相关器实验系统，并用它实现了三重（位移、旋转、尺度）畸变不变实时相关识别。     

光电混综合判别相关器

论述了综合判别函数的基本理论，简明地给出了用综合判别函数实现畸栾不变相关的技术途径。在此基础上，构造了一个光电混合综合判别相关器实验系统，并用它实现了三重畸变不变实时相关识别。     

光学相关器在自动目标识别中的应用

为使光学相关器更好地应用于自动目标识别领域,保证在较高识别速度下,具备良好的识别效果,介绍了应用于自动目标识别领域的联合变换相关器和匹配滤波相关器.针对匹配滤波相关器实现过程中的两项关键技术,在滤波器编码技术上提出了构造等相关峰综合鉴别函数以解决畸变不变识别问题.在相关峰识别技术上,针对阈值法存在的不足,提出利用BP神经网络对相关平面相关峰进行识别,采用划分感兴趣区域的方法减少了输入层神经元数目,简化了神经网络结构.借助搭建的光学相关器系统验证了该方法可对相关信号和噪声进行有效分类,提高了光学相关器的识别效果.     

改进的对数联合变换相关器在噪声条件下的模式识别

对联合变换相关器的功率谱进行对数变换可强化其高频分量,锐化相关峰,但同时也会增强其噪声成分,影响抗噪性能。针对这一问题,提出了一种改进的对数联合变换相关器模型。通过改变对数函数形式来提高对数联合变换相关器的抗噪能力。计算机仿真结果表明,在附加高斯白噪声、非重叠低频和高频有色噪声的条件下,改进的对数联合变换相关器的抗噪能力均优于传统的对数联合变换相关器。     

集成化光学相关器及匹配滤波器的优化设计

介绍了自制的具有超短光路和折迭式结构的集成化光学相关器。采用蒙特卡罗迭代算法对匹配滤波器进行优化设计 ,实验证明 ,该方法提高了模式识别的准确度     

面积-极坐标变换在光学相关目标识别中的应用

应用联合变换相关器对目标进行探测和识别时,由于实际探测到的目标相对于参考图像存在比例、旋转、平移畸变,因此在传统的光学相关器中很难实现目标的探测和识别。为了更好地探测到目标,提出了面积-极坐标的算法,该算法利用相似图形之间的尺寸与面积存在满映射函数关系,实现了比例不变光学探测,并结合极坐标变换实现旋转不变光学探测,最后,对变换后的联合图像进行小波边缘提取,既能提取到清晰的图像边缘,又能有效地抑制噪声,不但提高了相关峰,并使得相关峰更为尖锐,成功实现了大尺度混和畸变目标的探测和识别。作为实例,对混合畸变目标进行了计算机模拟和光学实验,验证了该算法在大尺度混合畸变光学相关探测中的可行性。     

用联合变换相关器实现灰阶图像绝对差度量光学匹配

将绝对差度量（ＡＤＭ）引入联合变换相关器（ＪＴＣ）,实现了灰阶图像光学匹配的计算机模拟实验,利用循环编码方法,通过联合变换相关器一步绝对差度量,相关后的图像通过取高阈值的分割方法来实现对目标的准确判断,针对高斯噪声干扰情况,分析了阈值选择问题,提高了灰阶目标识别抵抗器材怕畸变干扰的能力。     

折反式2f系统光学相关器的研究

为进一步缩小光学相关器体积,设计了一种折反式2f系统光学相关器,光路采用折叠反射式结构,用数字微透镜取代传统相关器中的实体透镜,缩减了结构体积,提升了系统集成度。利用等效光路法对其进行理论分析,给出了折反式2f相关器的结构设计条件及结构参数。针对该相关器,设计了与之匹配的综合鉴别函数滤波器,利用自编程序进行模拟仿真分析。结果显示,当待识别目标发生缩放与旋转畸变时,该相关器仍具有较好的畸变不变识别性能。     

二维光学几何矩变换

提取用于模式识别的不变矩特征量在光学上始终是一个有待进一步研究的问题。本文提出采用单个全息透镜的光学方法实现二维几何矩变换,并成功地提取了一组英文字母的不变矩特征量,所提取的不变矩的确呈现出其平移与转动不变的性质。 关键词：     

Optical Fractional Derivative Matched Correlator

We suggest a new optical matched correlator which combines the fractional derivative with the conventional correlation for application to space shift-invariant pattern recognition. This new correlator possesses the favorable feature of being able to enhance the discrimination capability and anti-interference to noise ability over that of the conventional matched spatial filter. Varying the fractional order enables one to trade off between the light efficiency and the discrimination ability of the correlator.     

Performance of an image-encrypted joint transform correlator for pattern recognition

An image-encrypted joint transform correlator for pattern recognition is proposed and evaluated. The correlator performs twofold correlation for recognizing the primary image and cipher, and the encrypting cipher acts to enhance or inhibit the correlation peak if the cipher is correctly input. By incorporating the original image with an appropriate cipher, the correlator achieves better pattern discrimination and is robust against distortion. Simulation results show that the pixel number and the cell size of cipher affect the characteristics of the correlator.     

利用不确定性提高击中击不中变换的抗畸变能力

对用于目标识别技术的形态学击不中变换进行了分析,引入不确定和模式的概念使得容易受到畸变干扰的像素点对判别结果的作用降低,得到联合排序多值击中击不中变换,从而在不损失图像信息的前提下,提高了目标识别的抗畸变能力,并且具有在输入图像和参考模板之间进行精确匹配的能力。基于非相干相关器,利用新颖的多值互补编码方法,实现了二值图像的联合序多值击中击不中变换,达到了较好的实验结果。     

Color pattern recognition based on the joint fractional Fourier transform correlator

A new system of multi-channel single-output joint fractional Fourier transform correlator (JFRTC) for color pattern recognition is proposed based on the conventional system of multi-channel single-output joint transform correlator (JTC). The theoretical analysis and optical experiments are performed. With this method, one can obtain three correlation peaks at the output plane which show a pair of desired cross-correlation peaks and one auto-correlation peak. In comparison, the conventional system leads to more correlation peaks playing a noise role in color pattern recognition.     

A New Method for Rotation and Brightness Invariant Pattern Recognition Based on Modified Multiple Circular Harmonic Expansions

A new method for rotation and brightness invariant pattern recognition was proposed by applying multiple circular harmonic expansions to the joint transform correlator. The amplitudes of the multiple orders of circular harmonic expansions made from a detecting image were synthetically modified to respond to the same auto-correlation peaks. These modified circular harmonic expansions were arranged in the input plane as reference patterns together with an arbitrary target pattern, and the correlation signals between them were calculated in the subtracted joint transform correlator. The fraction of the correlation-peak intensities between the target and the references were extracted as a new discrimination parameter. This new parameter performs pattern recognition under rotation and brightness invariance with good discriminability. Its high discriminability has been proved in computer simulations using the face image patterns of many individuals.     

基于多变量鉴别分析的光学畸变不变性图像识别

提出一种基于鉴别分析的光学畸变不变性图像识别方法：对包含各种畸变的训练图像集采用主成分分析得到若干本征图像,作为参考模式与测试图像做光学相关,利用本民输入图像的相关结果作为识别特征,采用最佳鉴别分析做了训练和识别,即可实现对输入图像的畸变为性快速识别。采用非相干光相关器为光学实现硬件,给出了实验结果。     

Performances of an all-optical subtracted joint transform correlator that uses a photorefractive crystal

An all-optical subtracted joint transform correlator (JTC) was proposed and it was experimentally shown that the correlator successfully performs the pattern recognition with the number of reference patterns. In the correlator, an optical interferometer was introduced to remove the additional correlation signals between the reference patterns themselves from the output plane and a photorefractive crystal was also introduced to record the joint power spectra as volume holograms. The processing for removing the additional correlation signals was performed by the parallel computations in the interferometer in real time. In this study it has been found that the correlator yields significantly better correlation results than the classical joint transform correlator does and the recording of the volume hologram corresponds to a nonlinear processing of the joint power spectrum in the fringe-adjusted joint transform correlator. However the volume hologram has angular selectivity for matching the Bragg condition. It would restrict the shift-invariant area of the input image plane. This restriction has been investigated experimentally.     

基于相位编码的畸变不变联合变换相关器的设计

采用综合鉴别函数(SDF)的方法合成几个子参考图象,用于解决畸变不变识别问题.通过相位编码技术和对联合功率谱的振幅调制,缩小了零级相关峰的宽度,锐化了相关峰,消除了多目标输入时各目标图象之间的互相关项和参考图象及各目标图象之间的共轭相关项,增强了对目标定位和识别的能力,最后给出计算机模拟结果.