消除零级衍射和循环移位改善计算机合成全息图的再现质量

分析了影响计算机合成全息再现像质量的主要因素,提出了一种改善计算机合成全息再现像质量的方法。零级衍射严重降低了再现像的对比度,连续两次离散傅里叶变换的循环移位作用使得再现虚像最后一行和最后一列被分别循环移位到第一行和第一列。采用Burch型合成全息图再现算法消除了零级衍射,调整像素的位置消除了虚像的循环移位,使得全息图能够精确恢复原始图像,实验证明这种方法能改善再现像质量。     

小波变换在数字全息中的应用

数字全息是通过数字重构来同时获取被测物强度与相位,但记录时的激光散斑效应和重构时的零级衍射斑成为了这种方法的瓶颈。将小波变换引入数字全息,可直接消除零级衍射像,无需相移,也不需要采集多幅图像;小波非线性滤波器还可消除散斑噪声。模拟和实验结果表明,小波分析的引入,可以消除零级衍射影响,改善图像质量,提高测试分辨率。     

Digital holographic reconstruction of a local object field using an adjustable magnification

In the research of digital holography, this paper presents a numerical method using an adjustable magnification for local object field reconstruction together with experiment verification. The method first designs a spherical wave according to the given magnification to illuminate the digital hologram, then through a Fourier transform of diffraction, it calculates the reconstructed image plane. Afterward, a filtering window is set in the image plane to extract the image of the local object field, and then the object field reached hologram plane is formed using diffraction's inverse operation. Finally, the object field is reconstructed through diffraction's angular spectrum theory.     

Iterative algorithm of phase determination in digital holography for real-time recording of real objects

We propose a numerical method to obtain complex amplitude distribution of a three-dimensional (3D) object from a digital hologram. The method consists of two processes. The first process is to measure simultaneously a hologram of the 3D object and an object intensity distribution by two image sensors. These intensity distributions give us the amplitude and absolute value of phase of the 3D object at the image sensor plane. The second process is the determination of phase distribution by a proposed iterative process based on the criterion that the reconstructed 3D object is in focus and its conjugate reconstruction is out of focus. Numerical and experimental results show the effectiveness of the proposed method.     

Penalized-likelihood image reconstruction for digital holography

Conventional numerical reconstruction for digital holography using a filter applied in the spatial-frequency domain to extract the primary image may yield suboptimal image quality because of the loss in high-frequency components and interference from other undesirable terms of a hologram. We propose a new numerical reconstruction approach using a statistical technique. This approach reconstructs the complex field of the object from the real-valued hologram intensity data. Because holographic image reconstruction is an ill-posed problem, our statistical technique is based on penalized-likelihood estimation. We develop a Poisson statistical model for this problem and derive an optimization transfer algorithm that monotonically decreases the cost function at each iteration. Simulation results show that our statistical technique has the potential to improve image quality in digital holography relative to conventional reconstruction techniques.     

Optical Hough-transform processor with a two-dimensional array of computer-generated holograms

An optical implementation of the Hough transform that uses a two-dimensional array of computergenerated holograms based on a direct-binary-search algorithm is investigated. A Hough-transform filter consisting of 16 × 16 Fourier-transform direct-binary-search computer-generated holograms is examined. A novel matrix format, which uses the parameter domain in the Hough transform instead of a conventional orthogonal coordinate system, enables highly flexible fabrication of a Hough-transform filter by reducing constraints for reconstructed sample points of a computer-generated hologram. A completed Hough-transform filter has excellent performance both in the quality of the reconstructed image and in diffraction efficiency.     

Effects of quantization in phase-shifting digital holography

We discuss quantization effects of hologram recording on the quality of reconstructed images in phase-shifting digital holography. We vary bit depths of phase-shifted holograms in both numerical simulation and experiments and then derived the complex amplitude, which is subjected to Fresnel transformation for the image reconstruction. The influence of bit-depth limitation in quantization has been demonstrated in a numerical simulation for spot-array patterns with linearly varying intensities and a continuous intensity object. The objects are provided with uniform and random phase modulation. In experiments, digital holograms are originally recorded at 8 bits and the bit depths are changed to deliver holograms at bit depths of 1 to 8 bits for the image reconstruction. The quality of the reconstructed images has been evaluated for the different quantization levels.     

Filter for biomedical imaging and image processing

Image filtering techniques have numerous potential applications in biomedical imaging and image processing. The design of filters largely depends on the a priori, knowledge about the type of noise corrupting the image. This makes the standard filters application specific. Widely used filters such as average, Gaussian, and Wiener reduce noisy artifacts by smoothing. However, this operation normally results in smoothing of the edges as well. On the other hand, sharpening filters enhance the high-frequency details, making the image nonsmooth. An integrated general approach to design a finite impulse response filter based on Hebbian learning is proposed for optimal image filtering. This algorithm exploits the interpixel correlation by updating the filter coefficients using Hebbian learning. The algorithm is made iterative for achieving efficient learning from the neighborhood pixels. This algorithm performs optimal smoothing of the noisy image by preserving high-frequency as well as low-frequency features. Evaluation results show that the proposed finite impulse response filter is robust under various noise distributions such as Gaussian noise, salt-and-pepper noise, and speckle noise. Furthermore, the proposed approach does not require any a priori knowledge about the type of noise. The number of unknown parameters is few, and most of these parameters are adaptively obtained from the processed image. The proposed filter is successfully applied for image reconstruction in a positron emission tomography imaging modality. The images reconstructed by the proposed algorithm are found to be superior in quality compared with those reconstructed by existing PET image reconstruction methodologies.     

Suppression of the zero-order diffracted beam from a pixelated spatial light modulator by phase compression

Phase compression is used to suppress the on-axis zero-order diffracted (ZOD) beam from a pixelated phase-only spatial light modulator (SLM) by a simple modification to the computer generated hologram (CGH) loaded onto the SLM. After CGH design, the phase of each SLM element is identically compressed by multiplying by a constant scale factor and rotated on the complex unit-circle to produce a cancellation beam that destructively interferes with the ZOD beam. Experiments achieved a factor of 3 reduction of the ZOD beam using two different liquid-crystal SLMs. Numerical simulation analyzed the reconstructed image quality and diffraction efficiency versus degree of phase compression and showed that phase compression resulted in little image degradation or power loss.     

Image quality improvement of digital holography by superposition of reconstructed images obtained by multiple wavelengths

A method to improve the image quality of a digital holographic reconstructed image by means of speckle reduction is proposed. The size and position of the speckles are changed according to the wavelengths to record a digital hologram. By superposing reconstructed images with different wavelengths, the effect of speckle is reduced so that the image quality is improved. Optical experiments are given to confirm the proposed method.     

一种去除离焦粒子像的简便方法

记录着不同深度位置的粒子全息图在数值重构过程中由于直透光、孪生像的影响以及离焦粒子像的存在,导致了聚焦粒子再现像质量的下降.针对这一问题,本文提出一种数值处理方法来减小上述三因素对聚焦粒子再现像的影响.该方法通过对数值重构出的两个聚焦与非聚焦面上粒子复振幅相减,将直透光、孪生像和离焦粒子像对聚焦粒子的影响同时减小,因此提高和改善了聚焦粒子再现像的对比度.在同轴数字全息层析再现粒子场过程中,该方法适用于在某一聚焦面仅显示聚焦粒子.此外,该过程仅需要一张全息图,而且不需要对全息图做预前和后期处理.给出了简要理论以及仿真、实验结果.     

Border processing in digital holography by extension of the digital hologram and reduction of the higher spatial frequencies

When a digital holographic reconstruction is performed, digital diffraction effects occur at the borders when the hologram amplitudes at the two opposite border points are different on each vertical or horizontal line. We propose a method of digital hologram extension to reduce such diffraction effects. The method consists of extending the size of the digital hologram and of filling the extended part by complex values that minimize, according to a numerical criterion, the highest spatial frequencies. The theoretical aspects of the method are given and the results from a demonstration are provided.     

Optimal FIR and IIR Hilbert transformer design via LS and minimaxfitting

A method for the design of both finite impulse response (FIR) and infinite impulse resonant (IIR) digital Hilbert transformers, based on a parameter estimation method for linear systems, is presented. The first approximation is performed in a least-squares (LS) sense in the complex domain. An iterative extension of the algorithm is also presented. It results in an approximation in a minimax (Chebyshev) sense and is also in the complex domain. The procedures described can be used for the design of digital filters other than Hilbert transformers since the desired frequency response is given point by point     

In-line hologram reconstruction using Hartley transform

In reconstruction of in-line recorded holograms, zero-order and conjugate images appear on the same physical location as the object image. Here we propose a method, new to our knowledge, to separate the object image from the others by using two quadrature phase-shifted holograms. The method uses the Hartley transform and a phase retrieval type of algorithm on the difference hologram.     

Purely numerical compensation for microscope objective phase curvature in digital holographic microscopy: influence of digital phase mask position

Introducing a microscope objective in an interferometric setup induces a phase curvature on the resulting wavefront. In digital holography, the compensation of this curvature is often done by introducing an identical curvature in the reference arm and the hologram is then processed using a plane wave in the reconstruction. This physical compensation can be avoided, and several numerical methods exist to retrieve phase contrast images in which the microscope curvature is compensated. Usually, a digital array of complex numbers is introduced in the reconstruction process to perform this curvature correction. Different corrections are discussed in terms of their influence on the reconstructed image size and location in space. The results are presented according to two different expressions of the Fresnel transform, the single Fourier transform and convolution approaches, used to propagate the reconstructed wavefront from the hologram plane to the final image plane.     

Holography with surface-plasmon-coupled waveguide modes

We report on an attempt to use the enhancement effect of surface-plasmon resonance to improve the image quality of a waveguide hologram. With a structure consisting of a waveguide medium sandwiched between a metal film and a hologram, we obtained holographic images reconstructed by surface-plasmon-coupled waveguide modes. Comparison of the holographic images reconstructed by TM and TE modes indicates that the surface-plasmon effect is responsible for better image quality in diffraction efficiency and image contrast.     

Extended focused imaging for digital holograms of macroscopic three-dimensional objects

When a digital hologram is reconstructed, only points located at the reconstruction distance are in focus. We have developed a novel technique for creating an in-focus image of the macroscopic objects encoded in a digital hologram. This extended focused image is created by combining numerical reconstructions with depth information extracted by using our depth-from-focus algorithm. To our knowledge, this is the first technique that creates extended focused images of digital holograms encoding macroscopic objects. We present results for digital holograms containing low- and high-contrast macroscopic objects.     

基于CMYK颜色空间的光全息水印算法研究

在印刷CMYK颜色空间、傅里叶全息加密和数字水印理论的基础上,提出了基于CMYK颜色空间的光全息水印算法。该算法不用转换颜色空间,避免了未印刷就人为导致水印信息的丢失,提高了重建水印的相似度;解密时,由于傅里叶变换的特性,重建水印的共轭图像与原水印图像互相叠加,增强了重建水印的清晰度。实验结果表明,该算法有较好的不可见性和较强鲁棒性,可以抵抗一般图像处理等操作。     

Secure three-dimensional data transmission and display

An optical three-dimensional (3D) display system interfaced with digital data transmission is proposed. In this system, an original 3D object is encrypted by use of a random phase mask and then the encrypted pattern is recorded as a digital hologram. The digital hologram key is also recorded for optical decryption. Both the encrypted digital hologram and the digital hologram key are transmitted to a receiver through a conventional communication data channel. At the receiver, the 3D scene is reconstructed and displayed optically in a retrieval system based on a joint-transform correlation. Experimental results are presented. We investigate the influence of quantization of the joint power spectrum in the optical correlator on the quality of the reconstructed image.     

同轴压缩全息再现多层样本

为了研究3层物体的压缩全息分层再现效果,进行了层析再现多层样本的实验,并且将压缩全息再现与传统反衍射重建方法进行了对比分析。采用了频域减采样的方法来实现全息图的稀疏化,将数据压缩到原始全息图的25%。通过仿真实验,发现采用压缩全息再现的物像和模拟样本的相关系数达到0.64。基于4f光学系统建立了实验系统,实现了3层物体的压缩全息再现,可以使所重建的物像更加清晰以及有效去除背景噪声信号。