多向格型微分和竞争抑制的角点检测改进方法

为了去除图像锯齿边缘的伪角点,减少平滑缓变角点的重复检出,提出了多向格型微分(DLD)算子,结合"胜者全取"(WTA)的竞争抑制策略,改善角点检测的性能.首先,针对锯齿失真,提出一种基于Directionlet分解的微分算子,其多向格型复合表示能实现任意方向图像边缘的无锯齿结构分解,很好地抑制锯齿特征的伪角点现象.其次,针对缓变角点,提出竞争响应抑制法,它根据DLD响应值定义一个以邻域尺寸为约束条件的角点相似度,相似角点通过WTA策略合并。实验结果表明,联合DLD的GLCP检测器和FAST检测器能分别使误检和漏检综合评价指标ACU值提高12.14%和6.32%,改善效果明显.

Finite Difference Scheme for Solving Parabolic Partial Differential Equations with Random Variable Input under Mean Square Sense

This study deal with seven points finite difference method to find the approximation solutions in the area of mean square calculus solutions for linear random parabolic partial differential equations. Several numerical examples are presented to show the ability and efficiency of this method.

New Positive and Negative Hierarchies of Integrable Differential-Difference Equations and Conservation Laws

Two hierarchies of nonlinear integrable positive and negative lattice equations are derived from a discrete spectrak problem. The two lattice hierarchies are proved to have discrete zero curvature representations associated with a discrete spectral problem, which also shows that the positive and negative hierarchies correspond to positive and negative power expansions of Lax operators with respect to the spectral parameter, respectively. Moreover, the integrable lattice models in the positive hierarchy are of polynomial type, and the integrable lattice models in the negative hierarchy are of rational type. Further, we construct infinite conservation laws about the positive hierarchy.

The research based on the differential equation model of price factors

National attaches＇ great importance to price trends highlights the complexity of the situation of the current price. Control price at a reasonable level has become a large problem of the ＂The Twelfth Five-Year Guideline＂ for the first year of a major exam in front of us. At the end of Last year, the central economic work conference held to stabilize the overall price level in a more prominent position. The State Council raised that to ensure the overall price level basically stable on the first place in the deployment of the first quarter.

Statistical Average of Spin Operators for Calculation of Three-Component Magnetization

When one wants to calculate all the three components of magnetization of Heisenberg model under random phase approximation, at least one of the components should be the solution of an ordinary differential equation. In this paper such an equation is established. It is argued that the general expressions of magnetization for any spin quantum number S suggested before are the solution of the ordinary differential equation.

Mechanical Equations on Riemann Almost Contact Model of a Cartan Space of order 2

In this paper, we present Euler-Lagrange and Hamilton mechanical equations introduced on Riemann almost contact space of a Cartan space of order two. In the conclusion we discussed differential geometric and physical results about related mechanical equations.

Distribution Patterns of Soil Microorganisms under Different Vegetation Types along the Riparian Wetland of the Ulson River and Its Influencing Factors

Wetlands are important for maintaining global ecosystem functions,mitigating global climate change,and regulating regional climate change.Ecological problems caused by global climate change have had serious impacts on plant distribution patterns in the wetlands of riparian zones,as well as on microbial community habitats in the soil.This study was based on a field sampling survey of the distribution characteristics of plant communities in the Ulson River,combined with remote sensing to obtain the spatial distribution pattern of vegetation in the riparian wetland.High-throughput sequencing technology combined with the characteristics of soil physicochemical factors were then used to explore the distribution characteristics of the community structures of soil bacteria and fungi under different vegetation types in the Ulson River Basin,in order to reveal the pattern of changes of soil microbial microorganisms under the different vegetation types in the wetlands of the riparian area and the factors driving those changes.The results showed an obvious banding phenomenon of wetland vegetation in the Ulson River Basin.Proteobacteria ranked first in relative abundance in all the sample plots and were the dominant bacteria in the study area.Ascomycota and Basidiomycota were the dominant fungi in the study area.In swamp areas,degenerate swamp soils,soil moisture content,and soil bulk density affected the microbial richness directly or indirectly by controlling soil nutrients.Plant aboveground biomass was the most significant factor influencing microbial diversity in a typical wet meadow sample.In salinized meadows and swamped meadows,electrical conductivity affected microbial richness and soil bulk density was the main factor influencing microbial diversity.The findings of this study can provide a theoretical basis for the ecological restoration of degraded riparian wetlands and further clarification of soil ecosystem functions in riparian wetlands.

A study of nonlinear biochemical reaction model

The present study deals with the introduction of an alteration in Legendre wavelets method by availing of the Picard iteration method for system of differential equations and named it Legendre wavelet-Picard method （LWPM）. Convergence of the proposed method is also discussed. In order to check the competence of the proposed method, basic enzyme kinetics is considered. Systems of nonlinear ordinary differential equations are formed from the considered enzyme-substrate reaction. The results obtained by the proposed LWPM are compared with the numerical results obtained from Runge-Kutta method of order four （RK-4）. Numerical results and those obtained by LWPM are in excellent conformance, which would be explained by the help of table and figures. The proposed method is easy and simple to implement as compared to the other existing analytical methods used for solving systems of differential equations arising in biology, physics and engineering.