The autocorrelation of speckles in deep Fresnel diffraction region and characterizations of random self-affine fractal surfaces

This paper studies the correlation properties of the speckles in the deep Fresnel diffraction region produced by the scattering of rough self-affine fractal surfaces. The autocorrelation function of the speckle intensities is formulated by the combination of the light scattering theory of Kirchhoff approximation and the principles of speckle statistics. We propose a method for extracting the three surface parameters, i.e. the roughness w, the lateral correlation length xi and the roughness exponent alpha, from the autocorrelation functions of speckles. This method is verified by simulating the speckle intensities and calculating the speckle autocorrelation function. We also find the phenomenon that for rough surfaces with alpha = 1, the structure of the speckles resembles that of the surface heights, which results from the effect of the peak and the valley parts of the surface, acting as micro-lenses converging and diverging the light waves.

The accuracy of Kirchhoff's approximation in describing the far field speckles produced by random self-affine fractal surfaces

Based on the rigorous formulation of integral equations for the propagations of light waves at the medium interface, we carry out the numerical solutions of the random light field scattered from self-affine fractal surface samples. The light intensities produced by the same surface samples are also calculated in Kirchhoff's approximation, and their comparisons with the corresponding rigorous results show directly the degree of the accuracy of the approximation. It is indicated that Kirchhoff's approximation is of good accuracy for random surfaces with small roughness value w and large roughness exponent alpha. For random surfaces with larger w and smaller alpha, the approximation results in considerable errors, and detailed calculations show that the inaccuracy comes from the simplification that the transmitted light field is proportional to the incident field and from the neglect of light field derivative at the interface.

Geometric Distortion Insensitive Image Watermarking in Affine Covariant Regions

Feature-based image watermarking schemes, which aim to survive various geometric distortions, have attracted great attention in recent years. Existing schemes have shown robustness against rotation, scaling, and translation, but few are resistant to cropping, nonisotropic scaling, random bending attacks (RBAs), and affine transformations. Seo and Yoo present a geometrically invariant image watermarking based on affine covariant regions (ACRs) that provide a certain degree of robustness. To further enhance the robustness, we propose a new image watermarking scheme on the basis of Seo's work, which is insensitive to geometric distortions as well as common image processing operations. Our scheme is mainly composed of three components: 1) feature selection procedure based on graph theoretical clustering algorithm is applied to obtain a set of stable and nonoverlapped ACRs; 2) for each chosen ACR, local normalization, and orientation alignment are performed to generate a geometrically invariant region, which can obviously improve the robustness of the proposed watermarking scheme; and 3) in order to prevent the degradation in image quality caused by the normalization and inverse normalization, indirect inverse normalization is adopted to achieve a good compromise between the imperceptibility and robustness. Experiments are carried out on an image set of 100 images collected from Internet, and the preliminary results demonstrate that the developed method improves the performance over some representative image watermarking approaches in terms of robustness.

Non-affine structural evolution of soft colloidal crystalline latex films under stretching as observed via synchrotron X-ray scattering

A polymer dispersion consisting of soft latex spheres with a diameter of 135 nm was used to produce a crystalline film with face-centered cubic (fcc) packing of the spheres. Different from conventional small-molecule and hardsphere colloidal crystals, the crystalline latex film in the present case is soft (i.e., easily deformable). The structural evolution of this soft colloidal latex film under stretching was investigated by in-situ synchrotron ultra-small-angle X-ray scattering. The film exhibits polycrystalline scattering behavior corresponding to fcc structure. Stretching results not only in a large deformation of the crystallographic structure but also in considerable nonaffine deformation at high draw ratios. The unexpected nonaffine deformation was attributed to slippage between rows of particles and crystalline grain boundaries. The crystalline structure remains intact even at high deformation, suggesting that directional anisotropic colloidal crystallites can be easily produced.

Fractals and Scaling in Fracture Induced by Microcrack Coalescence

A numerical model is proposed to simulate fracture induced by the coalescence of numerous microcracks, in which the condition for coalescence between two randomly nucleated microcracks is determined in terms of a load-sharing principle. The results of the simulation show that, as the number density of nucleated microcracks increases, stochastic coalescence first occurs followed by a small fluctuation, and finally a newly nucleated microcrack triggers a cascade coalescence of microcracks resulting in catastrophic failure. The fracture profiles exhibit self-affine fractal characteristics with a universal roughness exponent, but the critical damage threshold is sensitive to details of the model. The spatiotemporal distribution of nucleated microcracks in the vicinity of critical failure follows a power-law behaviour, which implies that the microcrack system may evolve to a critical state.

Avalanche behavior and statistical properties in a microcrack coalescence process

Fracture owing to the coalescence of numerous microcracks can be described by a simple statistical model, where a coalescence event stochastically occurs as the number density of nucleated microcracks increases. Both numerical simulation and statistical analysis reveal that a microcrack coalescence process may display avalanche behavior and that the final failure is catastrophic. The cumulative distribution of coalescence events in the vicinity of critical fracture follows a power law and the fracture profile has self-affine fractal characteristic. Some macromechanical quantities may be traced back and extracted from the mesoscopic process based on the statistical analysis of coalescence events.

基于参数化求和不变量与特征重整的形状匹配

从特征提取和特征匹配两方面考虑,提出了一种鲁棒的形状匹配方法。首先,基于求和不变量,设计了基于面积的形状参数化和归一化方法,提出了参数化求和不变量,该不变量基于形状局部描述且采用积分算子计算,具有较好的鲁棒性和仿射不变性。然后,为进一步提高形状匹配的鲁棒性,在特征匹配上,分析了参数化求和不变量的先验信息,设计了基于特征重整的匹配距离函数,并通过动态规划进行实现。仿真实验表明了所提方法的有效性。

Effect of annealing on the deformation mechanism of a styrene/n-butyl acrylate copolymer latex film investigated by synchrotron small-angle X-ray scattering

The deformation mechanism of a styrene/n-butyl acrylate copolymer latex film subjected to uniaxial tensile stress was studied by small-angle X-ray scattering. The influence of annealing at 23, 60, 80, and 100 degrees C for 4 h on microscopic deformation processes was elucidated. It was demonstrated that the microscopic deformation mechanism of the latex films transformed gradually from nonaffine deformation behavior to affine deformation behavior with increasing annealing temperature.

In Situ Observation of Tensile Deformation Processes of Soft Colloidal Crystalline Latex Fibers

The deformation mechanism or styrene/n-butyl acrylate copolymer latex films with fiber symmetric crystalline structure subjected to uniaxial stretching was studied using synchrotron small-angle X-ray scattering technique. The fibers were drawn at angles or 0, 35, and 55 degrees with respect to the Fiber axis. In all cases, the microscopic deformation within the crystallites was Found to deviate from affine deformation behavior with respect to the macroscopic deformation ratio. Moreover, the extent of this deviation is different in the three cases. This peculiar behavior can be attributed to the relative orientation of the (111) plane of the crystals, the plane of densest packing, with respect to the stretching direction in each case. When the stretching direction coincides with the crystallographic (111) plane, which is the case for stretching directions of 0 and 55 degrees with respect to the fiber axis, the microscopic deformation deviates less from affine behavior than when the stretching direction is arbitrarily oriented with respect to the crystallographic (111) plan.

Fractal roughness characterization of super-ground Mn-Zn ferrite single crystals

The surface of superground Mn-Zn ferrite single crystal may be identified as a self-affine fractal in the stochastic sense. The rms roughness increased as a power of the scale from 10(2) nm to 10(6) nm with the roughness exponent alpha = 0.17 +/- 0.04, and 0.11 +/- 0.06, for grinding feed rate of 15 and 10 mu m/rev, respectively. The scaling behavior coincided with the theory prediction well used for growing self-affine surfaces in the interested region for magnetic heads performance. The rms roughnesses increased with increase in the feed rate, implying that the feed rate is a crucial grinding parameter affecting the supersmooth surface roughness in the machining process.

亚历山大藻分子鉴定和荧光原位杂交检测方法研究

近年来，世界沿海国家有害赤潮发生的频率、规模及危害都有上升趋势，有害赤潮已经成为重要的近海环境问题之一。要有效防范有害赤潮带来的危害效应，建立和发展可靠、有效的赤潮监测手段非常重要。目前，对于赤潮藻种的监测主要依靠显微观察的方法，在实际应用中经常遇到困难。首先，亲缘关系相近的物种在形态上差异很小，如甲藻门亚历山大藻属的一些种类，仅细胞壁上个别甲片的结构有细微差别，并且这些形态学指标还容易受环境条件及生长阶段的影响。另外，这种以形态学为基础的分析方法，分析速度慢、耗时长，对操作人员的要求较高，难以满足浮游植物种群动力学监测“量大、连续”的要求。因此，本研究将分子生物学的技术和方法应用于赤潮监测，力求提高赤潮藻种鉴定的准确性和检测工作的效率。 亚历山大藻是一类重要的有害赤潮藻，该藻属中一些产毒特性差别很大的藻种，单从表形特征难以明确区分，从而限制了基于形态观察的监测技术的应用。本研究中，我们尝试应用分子生物学技术与方法，开展了该藻属藻种分子鉴定和荧光原位杂交检测方法的研究。在亚历山大藻的分子鉴定方面，我们采用了核糖体RNA基因（rDNA）序列分析的方法，首次测定了9株分离自中国沿海的（以及实验室保有的其它两株）亚历山大藻的rDNA序列全长，其中包括核糖体小亚基（SSU）rDNA、大亚基（LSU）rDNA、5.8S rDNA及内转录间隔区（ITS）区序列。序列分析结果显示，这些藻株包含了5种核糖体类型，分别是塔玛复合种亚洲温带（Temperate Asian）核糖体类型（TSC-TA），塔玛复合种西欧（West European）核糖体类型（TSC-WE），相关亚历山大藻（A. affine）核糖体类型（AF），微小亚历山大藻（A. minutum）葡萄牙（Portugal）核糖体类型（M-PO）和微小亚历山大藻新西兰（New Zealand）核糖体类型（M-NZ）。将测获的rDNA序列划分为若干保守性不同的区段，分别进行系统发育分析（结合GenBank数据库中保存的其它亚历山大藻相关序列）。结果显示，LSU rDNA D1-D2区是对该藻属藻种进行分子鉴定和系统发育研究的较好区段。同时，为解决建立亚历山大藻克隆培养的困难，我们应用单细胞rDNA序列分析方法，对亚历山大藻单个细胞直接进行了种类鉴定。结果表明，该方法适用于不同生活史阶段的亚历山大藻。 在亚历山大藻的检测技术方面，我们进一步扩展和完善了针对完整细胞的荧光原位杂交检测方法。首先，通过对不同核糖体类型藻株rDNA序列信息的对比分析，针对各自特异的序列位点，设计了特异性rRNA标记探针。经荧光原位杂交实验检验，实现了对5种核糖体类型亚历山大藻的特异性标记。其中，针对WE、M-PO及M-NZ核糖体型的特异性探针为首次获得，另外两个探针是针对TA和AF核糖体类型rRNA新的位点所设计。同时，对影响探针标记效果的诸多因素进行了分析和探讨。此外，在2007年春季长江口海域赤潮调查中，首次应用特异性核酸探针和荧光原位杂交检测方法，调查了该海域亚历山大藻的丰度。结果表明，在4月4日-4月10日的样品中，亚历山大藻达到了较高的密度，最高密度达到103cells/L。同时发现，实验中样品的保存方法有待改进。随后的研究表明，盐醇固定方法及多聚甲醛/甲醇固定方法，可以较好的保持rRNA不被降解并适宜杂交（至少3个月时间）。 总之，本研究首次测定并分析了11株亚历山大藻（9株分离自中国沿海）的rDNA全序列信息。在此基础上，获得了5种核糖体类型亚历山大藻的特异性rRNA标记探针，其中3种为首次获得。另外，实验证明，单细胞rDNA分析技术和荧光原位杂交检测方法，在自然水体中亚历山大藻的直接鉴定及丰度调查中，均具有良好的应用前景。这一工作为我国近海亚历山大藻的鉴定和检测提供了理论依据和方法学基础，希望对该藻赤潮的监测工作有推动作用。 关键词：亚历山大藻 遗传探针 rRNA rDNA 荧光原位杂交 系统发育