A new wavelet-based reconstruction algorithm for twin image removal in digital in-line holography

Two original methods are proposed here for digital in-line hologram processing. Firstly, we propose an entropy-based method to retrieve the focus plane which is very useful for digital hologram reconstruction. Secondly, we introduce a new approach to remove the so-called twin images reconstructed by holograms. This is achieved owing to the Blind Source Separation (BSS) technique. The proposed method is made up of two steps: an Adaptive Quincunx Lifting Scheme (AQLS) and a statistical unmixing algorithm. The AQLS tool is based on wavelet packet transform, whose role is to maximize the sparseness of the input holograms. The unmixing algorithm uses the Independent Component Analysis (ICA) tool. Experimental results confirm the ability of convolutive blind source separation to discard the unwanted twin image from in-line digital holograms.     

一种新的消色像全息术

本文从全息再现像的物像关系出发,对准像面情况下,像点随波长及参考光源扩展的变化进行了研究.阐明了利用散射线光源作参考光使全可见光范围内的像叠加在一起,产生消色像全息图的基本思想,并引入了消色像域的概念.考虑到点基元全息图尺寸及人眼瞳孔对成像光束的限制,白光再现时,可以获得清晰、明亮、具有一定景深和相当视场范围的消色再现像.     

Solution to the problem of Nicolai

We consider the problem of Nicolai on dynamic stability of an elastic cantilever rod loaded by an axial compressive force P and a twisting tangential torque L in continuous formulation. The problem is to find the stability region for non-equal principal moments of inertia of the rod in the space of three parameters: P, L and the parameter α for the ratio of principal moments of inertia. New governing equations and boundary conditions, which form the basis for analytical and numerical studies, are derived. An important detail of this formulation is that the pre-twisting of the rod due to the torque L is taken into account. The singular point on the stability boundary at the critical Euler force P_E is recognized and investigated in detail. For an elliptic cross-section of a uniform rod the stability region is found numerically with the use of the Galerkin method and the exact numerical approach. The obtained numerical results are compared with the analytical formulas of the asymptotic analysis.     

Dynamic holography and optical image processing

Possible applications of dynamic holograms for image amplification and image processing are discussed. The principal physical processes of holographic amplification of coherent light are analysed.Amplification of grey scale images during recording of dynamic holograms in pure reduced and Fe-doped crystals of LiNbO₃ is demonstrated. One-exposure technique of image subtraction or addition is proposed and realised in Fe-doped crystals of LiNbO₃.     

全数字全息术在图像信息隐藏中的应用

提出了全数字全息术在计算机图像信息隐藏中的应用。待隐藏的秘密信息以及公开的承载信息均为灰度级静止图像。首先对待隐藏的计算机信息图进行全息变换,即通过计算全息图的制作步骤制作出全息图的图像文件,然后再进行Arnold对称性变换。在此基础上,将秘密图像嵌入到承载图像的DCT域的中频系数中。全数字全息术的引入进一步增强了隐藏图像的透明性,通过控制制作全息图时的参数可起到加密的作用,相当于增加了一把秘密钥匙,具有较高的保密性和稳健性。     

周视彩虹全息图中共轭像的抑制

本文从理论和实验两方面分析了共轭像的干扰问题,求得了共轭像强度对记录介质厚度及物光—参考光夹角的依赖关系,并对普通6μm干板给出了抑制共轭像的条件.     

A method of image plane multiplex holography

A method for making image plane multiplex holograms is described. These exhibit the full 3-D imagery of conventional multiplex holograms, but can be made without the use of coherent light. A similarity to lenticular photography is noted; this similarity is then utilized in devising methods for constructing image plane multiplex holograms.     

Reduction of speckle noise in the reconstructed image of digital holography

Based on the whole process of recording and reconstruction of digital holography, we study the formation causes of speckle noise in the reconstructed image and its characteristics. And we reach the conclusions that the little hologram aperture diffraction aggravates the speckle noise and the speckle noise in the reconstructed image is a kind of multiplicative noise. Serving as the basis of these features, we propose the reduction technique for speckle noise. Firstly, we set an appropriate aperture function matching the recording parameter and an aperture size of hologram and deconvolve the reconstructed image of the hologram with it. Secondly, we converted the multiplicative noise into additive noise by means of homomorphic transform and realize the separation of signal and noise. Thirdly, we applied the Wiener filtering to reduce the additive noise. Finally, we carried out the inverse transformation. The proposed reduction technique is illustrated with experimental results. Therefore, the paper offers a brand-new thought and practical way of reducing the speckle noise in the reconstructed image of digital holography.     

Solution to the Landau-Zener problem via Susskind-Glogower operators

We show that, by means of a right-unitary transformation, the fully quantized Landau-Zener Hamiltonian in the weak-coupling regime may be solved by using known solutions from the standard Landau-Zener problem. In the strong-coupling regime, where the rotating wave approximation is not valid, we show that the quantized Landau-Zener Hamiltonian may be diagonalized in the atomic basis by means of a unitary transformation; hence allowing numerical solutions for the few photons regime via truncation.     

正赝复合全景像全息术

本文提出一种利用正、赝再现像,将物体的正、反两面信息复合在一起的全息术.在一张全息干板片上,可以同时看到物体的两面,增强立体效果和艺术感.文中介绍了原理、方法和结果.     

Twin image removal in X-ray fluorescence holography with two energies

In the last decade,X-ray fluorescence holography has been developed for the study of 3D atomic arrangements in solids.However,it encounters the twin image problem which may disturb the reconstructed atomic images.In this paper,the formation of twin image is discussed and we propose a modified two-energy algorithm to remove the twin image.The simulation shows that the method is valid and more efficient than the multiple-energy algorithm proposed by Barton.     

Twin image removal in X-ray fluorescence holography with two energies

In the last decade, X-ray fluorescence holography has been developed for the study of 3D atomic arrangements in solids. However, it encounters the twin image problem which may disturb the reconstructed atomic images. In this paper, the formation of twin image is discussed and we propose a modified two-energy algorithm to remove the twin image. The simulation shows that the method is valid and more efficient than the multiple-energy algorithm proposed by Barton.     

Use of optical fiber bundle in digital image plane holography

Use of optical fiber bundles (OFBs) in digital image plane holography systems is limited due to, first, poor quality of transmitted images through the OFB and, second, further image degradation caused by overlappings in the image (also hologram) plane. Existing systems are aimed at near-distant (order of a centimeter) objects and use demanding procedures to achieving acceptable quality of holographic reconstructions. This paper presents an OFB based holographic system capable of achieving fast and good-quality holographic and interferometric reconstructions of far-distant (order of a meter) objects. The proposed system is based on performing subtraction operations through the image acquisition interface buffers directly accessed to process the holograms and instantly display the output. The system is analyzed theoretically and its effectiveness is validated by experimental results.     

Solution to the flavor problem of warped extra-dimension models

A minimal solution to the flavor problem of warped extra-dimension models, i.e., the excessive mixed-chirality contribution to CP violation in K-K ˉ mixing arising from Kaluza-Klein (KK) gluon exchange, is proposed. Extending the strong-interaction gauge group in the bulk by an additional SU(3), and breaking this symmetry to QCD via boundary conditions, the constraints arising from the ε(K) parameter are significantly relaxed. As a result, KK scales M(KK)~2 TeV are consistent with all flavor observables without significant fine-tuning. The model predicts an extended Higgs sector featuring massive color-octet scalars and a tower of KK pseudoaxial gluon resonances, whose existence is not in conflict with recent LHC dijet bounds.     

Three-dimensional image fusion by use of multiwavelength digital holography

We present three-dimensional (3D) image fusion by use of digital holography. We demonstrate experimentally that, through the image fusion technique with multiresolution wavelet decomposition, it is possible to increase the details and contrast of 3D reconstructed images obtained by multiwavelength digital holography. Although there is substantial activity in the fields of image fusion and holography, to the best of our knowledge, this is the first report of 3D image fusion by use of digital holography.     

像面数字全息的重建相位误差分析和改善

像面数字全息是数字全息技术中常用的测量和成像方式,它通常采用离散傅里叶变换和频率滤波的方法进行物光波的重建.本文讨论了这些算法对重建相位的影响.首先分析了频谱泄露对于相位误差的影响,结果表明当采样周期为整数时,重建相位误差很小,因此具有极高的相位重建精度;而当不满足整周期采样时,相位重建误差有了明显的增加.为了改善频谱泄露所引起的相位误差,采用Hanning函数对数字全息图进行了预处理,结果表明Hanning窗的加入能够有效地提高重建相位的准确程度.