板式塔中无伸缩型受液槽的改进

对板式塔中的受液槽进行了改进，将无伸缩型改性伸缩型，避免了漏液，提高了常压塔的分离效果。     

Computing surfaces invariant under subdivision

In this paper, we propose a general subdivision algorithm for generating surfaces. The algorithm has as motivation our earlier work on the design of free form curves where similar ideas were investigated. Here we describe some properties of uniform refinement algorithms for surface generation. A detail analysis of their properties will be given later by one of us.     

Micromechanical approach to damage mechanics of composite materials with fabric tensors

The purpose of this study is to apply continuum damage mechanics – introduced through the concept of fabric tensors – to composite materials within the framework of the theory of elasticity. A directional data model of damage mechanics for composite materials will be developed using fabric tensors. The introduction of fabric tensors into the analysis of damage of composite materials will allow for an enhanced and better understood physical meaning of damage. The micromechanical approach will be used here to relate the damage effect through fabric tensors to the behavior of composite materials. In this approach, damage mechanics is introduced separately to the constituents of the composite material through different constituents’ damage effect tensors. The damaged properties of the composite system as a whole can then be obtained by proper homogenization of the damaged properties of the constituents.

The derivation of a generalized formulation of damage evolution will be shown here in a mathematically consistent manner that is based on sound thermodynamic principles. Numerical examples will be presented to show applicability. In addition, damage evolution for the one-dimensional tension case is also illustrated.     

角状螺旋固体激光器热畸变自补偿特性分析

利用张量方法对角状螺旋光路固体激光器作了分析，证实其在ｘ、ｙ两方向对激光介质的热畸变有自补偿作用，且ｘ、ｙ两方向呈对称性．     

各向加权异性有限元法在不可压粘性流动计算中的应用

本文利用各向异性张力有限单元，考虑到其独特的性质，提出了一种各向加权异性的算法，即在不同方向采用不同连续性的插值函数，然后再在原连续性较弱的方向以连续性较强的插值函数计算，最后把两次计算的结果加权处理。这种方法可以适应两个方向连续性要求不同或相同的各种情况，即克服了一般各向异性张力有限单元的局限性，又大大减少了存贮量和计算量。     

Diffusion tensor interpolation profile control using non-uniform motion on a Riemannian geodesic

Tensor interpolation is a key step in the processing algorithms of diffusion tensor imaging (DTI), such as registration and tractography. The diffusion tensor (DT) in biological tissues is assumed to be positive definite. However, the tensor interpolations in most clinical applications have used a Euclidian scheme that does not take this assumption into account. Several Rie-mannian schemes were developed to overcome this limitation. Although each of the Riemannian schemes uses different metrics, they all result in a ‘fixed’ interpolation profile that cannot adapt to a variety of diffusion patterns in biological tissues. In this paper, we propose a DT interpolation scheme to control the interpolation profile, and explore its feasibility in clinical applications. The profile controllability comes from the non-uniform motion of interpolation on the Riemannian geodesic. The interpolation experiment with medical DTI data shows that the profile control improves the interpolation quality by assessing the reconstruction errors with the determinant error, Euclidean norm, and Riemannian norm.     

Analysis of sub-anatomic diffusion tensor imaging indices in white matter regions of Alzheimer with MMSE score

In this study, an attempt has been made to find the correlation between diffusion tensor imaging (DTI) indices of white matter (WM) regions and mini mental state examination (MMSE) score of Alzheimer patients. Diffusion weighted images are obtained from the ADNI database. These are preprocessed for eddy current correction and removal of non-brain tissue. Fractional anisotropy (FA), mean diffusivity (MD), radial diffusivity (RD) and axial diffusivity (DA) indices are computed over significant regions (Fornix left, Splenium of corpus callosum left, Splenium of corpus callosum right, bilateral genu of the corpus callosum) affected by Alzheimer disease (AD) pathology. The correlation is computed between diffusion indices of the significant regions and MMSE score using linear fit technique so as to find the relation between clinical parameters and the image features. Binary classification has been employed using support vector machine, decision stumps and simple logistic classifiers on the extracted DTI indices along with MMSE score to classify Alzheimer patients from healthy controls. It is observed that distinct values of DTI indices exist for the range of MMSE score. However, there is no strong correlation (Pearson's correlation coefficient ‘r’ varies from 0.0383 to −0.1924) between the MMSE score and the diffusion indices over the significant regions. Further, the performance evaluation of classifiers shows 94% accuracy using SVM in differentiating AD and control. In isolation clinical and image features can be used for prescreening and diagnosis of AD but no sub anatomic region correlation exist between these features set. The discussion on the correlation of diffusion indices of WM with MMSE score is presented in this study.     

基于反调和平均的张量形态学算子模型及其在彩色图像边缘检测中的应用

旨在建立基于张量模型的彩色图像形态学算子。通过将HSV彩色空间下的三维向量利用二阶对称正定张量进行建模表示, 提出一种基于反调和平均的彩色形态学算子。在此基础上, 借助于张量相似性度量构造基于参考张量的形态学算子, 该算子能够实现滤波的输入保持。通过基于形态学梯度的边缘检测实验验证模型的可行性和有效性。对比实验表明基于张量的彩色形态学模型相对于原有的向量模型在图像处理中具有更好的结果。     

各向异性介质涂覆曲面导体目标的散射

由于各向异性介质电磁参数为张量形式,使得各向异性介质涂覆导体目标的电磁散射建模和精确计算相当复杂和困难.引入高阶张量阻抗边界条件,可以大大简化建模过程,提高计算效率.论文针对各向异性介质涂覆曲面导体目标,采用基于平面近似的高阶张量阻抗边界条件,将一维二阶张量阻抗边界条件应用于柱面涂覆目标,二维二阶张量阻抗边界条件应用于三维曲面涂覆目标上,建立二者的高阶张量阻抗边界条件解.设计算例仿真,并与精确解/矩量法解比较.通过仿真,研究了各向异性介质涂覆目标电尺寸、涂覆厚度以及目标形状对高阶张量阻抗边界条件解的精度的影响.     

基于磁梯度张量与Levenberg-Marquardt优化的磁矩计算方法

针对目前磁矩计算方法中出现的对磁性目标出厂参数精度要求较高且计算繁琐、受地磁场影响较大、反演精度较差等问题,提出了一种基于磁梯度张量概念与Levenberg-Marquardt优化算法结合的磁矩计算方法。该方法采用磁梯度张量概念消除了地磁背景场的干扰,使用Levenberg-Marquardt算法优化解算过程,消除了反演过程中出现的奇异点。对新方法进行地磁背景场、测量系统位置、环境噪声等影响因素的验证仿真,并实验验证该方法的可操作性。仿真与实验证明,相比于以往方法,新方法的磁矩反演精度有大幅度的提高,抗噪声能力更强,具有更高的鲁棒性。