Fast growing dendritic poly(ester-amines) from alternate reaction of EDA and TMPTA

Starting with ethylene diamine (EDA) as the core, dendritic poly(ester-amines) were prepared from directly alternate reaction of EDA and trimethylolpropane triacrylate (TMPTA) under mild conditions without protection-deprotection steps. Multiple reactive hydrogen atoms in EDA and acrylate groups in TMPTA led to fast growing of dendrimers and the number of their peripheral groups.     

Computing regions of interest for geometric features in digital images

We present an uncertainty model for geometric transformations based on polygonal uncertainty regions and transformation polytopes. The main contribution of this paper is a systematic approach for the computation of regions of interest for features by using the uncertainty model for affine and projective transformations. The focus is on the solution of transformation problems for geometric primitives, especially lines, so that regions of interest can be computed for corresponding geometric features in distinct images.     

Sharp thresholds for the phase transition between primitive recursive and Ackermannian Ramsey numbers

We compute the sharp thresholds on g at which g-large and g-regressive Ramsey numbers cease to be primitive recursive and become Ackermannian.We also identify the threshold below which g-regressive colorings have usual Ramsey numbers, that is, admit homogeneous, rather than just min-homogeneous sets.     

Human emotions detection based on a smart-thermal system of thermographic images

This work presents a noninvasive methodology to obtain biomedical thermal imaging which provide relevant information that may assist in the diagnosis of emotions. Biomedical thermal images of the facial expressions of 44 subjects were captured experiencing joy, disgust, anger, fear and sadness. The analysis of these thermograms was carried out through its thermal value not with its intensity value. Regions of interest were obtained through image processing techniques that allow to differentiate between the subject and the background, having only the subject, the centers of each region of interest were obtained in order to get the same region of the face for each subject. Through the thermal analysis a biomarker for each region of interest was obtained, these biomarkers can diagnose when an emotion takes place. Because each subject tends to react differently to the same stimuli, a self-calibration phase is proposed, its function is to have the same thermal trend for each subject in order to make a decision so that the five emotions can be correctly diagnosed through a top-down hierarchical classifier. As a final result, a smart-thermal system that diagnose emotions was obtained and it was tested on twenty-five subjects (625 thermograms). The results of this test were 89.9% successful.     

Axisymmetric resonant disturbances in a homogeneous wave guide

The initial boundary-value linear stability problem for small localised axisymmetric disturbances in a homogeneous elastic wave guide, with the free upper surface and the lower surface being rigidly attached to a half-space, is formally solved by applying the Laplace transform in time and the Hankel transforms of zero and first orders in space. An asymptotic evaluation of the solution, expressed as a sum of inverse Laplace-Hankel integrals, is carried out by using the approach of the mathematical formalism of absolute and convective instabilities. It is shown that the dispersion-relation function of the problem D₀ (κ, ω), where the Hankel parameter κ is substituted by a wave number (and the Fourier parameter) κ, coincides with the dispersion-relation function D₀ (k, ω) for two-dimensional (2-D) disturbances in a homogeneous wave guide, where ω is the frequency (and the Laplace parameter) in both cases. An analysis for localised 2-D disturbances in a homogeneous wave guide is then applied. We obtain asymptotic expressions for wave packets, triggered by axisymmetric perturbations localised in space and finite in time, as well as for responses to axisymmetric sources localised in space, with the time dependence satisfying e^−iω₀t + O(e^−εt) for t → ∞, where Im ω₀ = 0, ε > 0, and t denotes time, i.e. for signalling with frequency ω₀. We demonstrate that, for certain combinations of physical parameters, axisymmetric wave packets with an algebraic temporal decay and axisymmetric signalling with an algebraic temporal growth, as √t, i.e., axisymmetric temporal resonances, are present in a neutrally stable homogeneous wave guide. The set of physically relevant wave guides having axisymmetric resonances is shown to be fairly wide. Furthermore, since an axisymmetric part of any source is L²-orthogonal to its non-axisymmetric part, a 3-D signalling with a non-vanishing axisymmetric component at an axisymmetric resonant frequency will generally grow algebraically in time. These results support our hypothesis concerning a possible resonant triggering mechanism of certain earthquakes, see Brevdo, 1998, J. Elasticity, 49, 201–237.     

幂硬化弹塑性-刚性界面Ⅲ型定常扩展裂纹尖端的渐近场

对幂硬化弹塑性材料－刚性材料界面上裂纹以定常方式扩展的Ⅲ型问题进行弹塑性渐近分析，给出裂纹尖端的应力，应变和位移场解。通过数值计算，考察了不同Mach数以及裂纹尖端混合参数对场解的构造以及应力，应变分布的影响，为给出合理的断裂准则提供理论依据。     

The study and application of the improved region growing algorithm for liver segmentation

In order to improve the accuracy of the medical image segmentation and reduce the effect of selecting seed points using region growing algorithm, an improved region growing method is proposed in this paper. First, the source images are pre-processed using non-linear mapping method and the region of interest in the liver is selected by man–machine interaction; Quasi-Monte Carlo method is used for generating low-dispersion sequences points in the region of interest and the optical seed points are selected by computing these points; In addition, the region growing criteria is also improved. The improved region growing algorithm is used for segmenting three discontinuous abdomen CT images. Compared with the traditional region growing method, the improved method can get better liver segmentation effects. The proposed method can be effectively applied to liver segmentation and it can improve the accuracy of liver segmentation.     

多尺度无监督彩色图像分割

非采样Contourlet变换是一种新的多尺度多分辨率分析工具.本文提出了一种基于非采样Contourlet变换的彩色图像无监督分割算法.首先利用非采样Contourlet变换的平移不变性在其变换域应用梯度向量法提取图像多尺度边缘|然后在Contourlet变换域的低频子带和高频子带中分别提取局部低频能量纹理特征与高频多尺度Zernike矩纹理特征,并将二种纹理特征融合.最后在边缘图像中映射种子像素点,利用纹理和颜色特征欧氏距离,对彩色图像采用区域生长和区域合并的方法进行分割.实验结果证明:该算法将图像空间域的颜色特征与非采样Contourlet变换域的多尺度边缘和纹理特征恰当结合在一起实现彩色图像无监督自动分割,与传统算法相比有更高的准确性和鲁棒性.     

一种基于感兴趣区域提取的医学图像检索技术

针对胸部CT扫描图像库，提出了一种基于感兴趣区域提取的图像检索方法．首先为了提取感兴趣区域，提出一种基于灰度层共现矩阵的区域增长算法，分割出病灶区域，再通过闽值算法进行边界的磨合，然后针对感兴趣区域提取形状和分布特性作为图像匹配准则的客观依据．最后，将该算法与其他底层特征算法进行比较和分析．实验结果表明，该算法能够比较有效地应用于基于内容的医学图像检索系统中．     

High‐order split‐step theta methods for non‐autonomous stochastic differential equations with non‐globally Lipschitz continuous coefficients

In this paper, we first propose the so‐called improved split‐step theta methods for non‐autonomous stochastic differential equations driven by non‐commutative noise. Then, we prove that the improved split‐step theta method is convergent with strong order of one for stochastic differential equations with the drift coefficient satisfying a superlinearly growing condition and a one‐sided Lipschitz continuous condition. Finally, the obtained results are verified by numerical experiments. Copyright © 2016 John Wiley & Sons, Ltd.