一种基于Arnold变换和RSA的图像加密算法

提出一种Arnold变换和RSA相结合的图像加密算法。利用Arnold变换对图像的像素位置进行链式迭代置乱。在对置乱后的图像像素值进行替代和扩散的过程中,采用基于大素数分解的RSA算法,构造一个位置置乱和灰度变换相结合的加密算法。实验仿真结果表明该算法支持变长密钥,具有敏感性强、去相关能力强及抵御统计和已知明文攻击等优点,能够取得很好的加密效果。     

引入零视差缓冲的DIBR改良方法

针对图像部分像素深度值失真,导致图像变形后物体边缘失真的问题,提出了一种引入“零视差缓冲”的方法。首先选取四幅具有不同复杂程度场景的图像,引入零视差缓冲对图像进行变形,其次采用传统图像质量评价体系（结构相似度SSIM和模糊系数K）对得到的图像进行质量评价,最后对比传统DIBR方法和引入零视差缓冲方法得到的视点图中物体边缘的表现。实验结果表明,该方法对于变形图像的SSIM平均提高了4.66%, K平均下降了1.73%。提高了视点图中物体边缘的质量,提高了3D图像的整体质量。     

隐私保护的可验证多元多项式外包计算方案

随着云计算的发展和大数据时代的到来,如何对隐私数据进行外包计算且有效验证计算结果具有重要的现实意义。基于多线性映射和同态加密方案,提出了可验证的多元多项式外包计算方案,用户可准确验证外包计算结果的正确性。方案在标准模型中可证安全,且多项式函数和用户输入对于服务器都是保密的。分析表明,用户计算量远小于服务器的计算代价以及直接计算多项式函数。     

2D difference gel electrophoresis reference map of a Fusarium graminearum nivalenol producing strain

Fusarium graminearum is widely studied as a model for toxin production among plant pathogenic fungi. A 2D DIGE reference map for the nivalenol‐producing strain 453 was established. Based on a whole protein extract, all reproducible spots were systematically picked and analyzed by MALDI‐TOF/TOF, leading to the identification of 1102 protein species. The obtained map contributes to the annotation of the genome by identifying previously nondescribed hypothetical proteins and will serve as a reference for future studies aiming at deciphering F. graminearum biology and chemotype diversity.     

PH2X与五元杂环体系磷键相互作用的理论研究

用MP2/aug-cc-pVDZ方法计算了PH2X(X=H,F,Cl,Br)与五元杂环化合物(吡咯、呋喃、噻吩)的相互作用,经完全均衡校正法校正基组重叠误差.在MP2/aug-cc-pVDZ优化基础上采用Gaussian 03程序包中的NBO程序计算了二级微扰稳定化能(ΔE2),并运用AIM 2000程序对其AIM性质进行了计算.为了进一步加强对该类相互作用的认识,应用约化密度梯度(RDG)填色等值面图和电子密度差图对代表性的体系进行了图形化分析.研究表明:PH3与三个五元杂环化合物形成的是P—H…π氢键相互作用;PH2X(X=F,Cl,Br)与五元杂环化合物形成磷键相互作用,这些磷键体系存在π型和n型两种形式的磷键相互作用,前者形成复合物的稳定性高于后者,并且相互作用大小与磷原子到杂环质心的矢量和P—X方向矢量的夹角密切相关.作为比较,我们对PCl3与这三种杂环化合物之间的相互作用也进行了研究,结果发现,PCl3分子中沿Cl—P键的P端出现了三个正的静电势区域或称作"σ-hole",因此其与杂环化合物形成的是分子间多磷键复合物.AIM拓扑分析表明磷键相互作用的本质属于闭壳层静电相互作用,且电子密度与复合物稳定性呈正相关.RDG图形化分析揭示了磷键相互作用所在的空间位置以及相对强度.DDF分析表明,磷键相互作用的存在使磷原子端基的电子密度减少,而沿着P—X轴以及五元杂环分子的电子密度增加,从而直观地体现了形成复合物后电子密度的重排情况.     

The localized longitudinal index theorem for Lie groupoids and the van Est map

We define the “localized index” of longitudinal elliptic operators on Lie groupoids associated with Lie algebroid cohomology classes. We derive a topological expression for these numbers using the algebraic index theorem for Poisson manifolds on the dual of the Lie algebroid. Underlying the definition and computation of the localized index, is an action of the Hopf algebroid of jets around the unit space, and the characteristic map it induces on Lie algebroid cohomology. This map can be globalized to differentiable groupoid cohomology, giving a definition of the “global index”, that can be computed by localization. This correspondence between the “global” and “localized” index is given by the van Est map for Lie groupoids.     

On Gradient Solitons of the Ricci–Harmonic Flow

In this paper, we study gradient solitons to the Ricci flow coupled with harmonic map heat flow. We derive new identities on solitons similar to those on gradient solitons of the Ricci flow. When the soliton is compact, we get a classification result. We also discuss the relation with quasi-Einstein manifolds.     

Topological monodromy as an obstruction to Hamiltonization of nonholonomic systems: Pro or contra?

The phenomenon of a topological monodromy in integrable Hamiltonian and nonholonomic systems is discussed. An efficient method for computing and visualizing the monodromy is developed. The comparative analysis of the topological monodromy is given for the rolling ellipsoid of revolution problem in two cases, namely, on a smooth and on a rough plane. The first of these systems is Hamiltonian, the second is nonholonomic. We show that, from the viewpoint of monodromy, there is no difference between the two systems, and thus disprove the conjecture by Cushman and Duistermaat stating that the topological monodromy gives a topological obstruction for Hamiltonization of the rolling ellipsoid of revolution on a rough plane.     

Phytochemical Analysis and Habitat Suitability Mapping of Glycyrrhiza glabra L. Collected in the Hatay Region of Turkey

The growth and quality of licorice depend on various environmental factors, including the local climate and soil properties; therefore, its cultivation is often unsuccessful. The current study investigated the key factors that affect the contents of bioactive compounds of Glycyrrhiza glabra L. root and estimated suitable growth zones from collection sites in the Hatay region of Turkey. The contents of three bioactive compounds (glycyrrhizic acid, glabridin, and liquiritin), soil factors (pH, soil bearing capacity, and moisture content), and geographical information (slope, aspect, curvature, elevation, and hillshade) were measured. Meteorological data (temperature and precipitation) were also obtained. An analysis of variance (ANOVA) and multivariate analysis of variance (MANOVA) were performed on the data. The soil bearing capacity, moisture content, slope, aspect, curvature, and elevation of the study area showed statistically significant effects on the glycyrrhizic acid and liquiritin contents. A habitat suitability zone map was generated using a GIS-based frequency ratio (FR) model with spatial correlations to the soil, topographical, and meteorological data. The final map categorized the study area into four zones: very high (15.14%), high (31.50%), moderate (40.25%), and low suitability (13.11%). High suitability zones are recommended for further investigation and future cultivation of G. glabra.