关键词： 高空间分辨率   遥感影像   数学形态学   图像滤波  

摘要： 应用数学形态学理论,结合高空间分辨率遥感影像的特点,选择包含全部方向的结构元素,设计一种基于全方位结构元素的加权多级滤波算法,用于高空间分辨率遥感影像的处理。算法中使用峰值信噪比方法自适应地确定各个方向结构元素的权重。实验结果表明:与结构元素尺度形状单一的形态学滤波算法相比,全方位结构元素的加权多级滤波算法在噪声抑制和细节保持上均有较好的性能,峰值信噪比有了更大的提高,而且更适合于对高空间分辨率遥感影像的噪声去除。

关键词： 程序框图   算法分析   加速度   分类讨论思想   数学思想方法   分期付款   选择计算   质点   时刻   写出  

摘要： 1.分类讨论思想例1已知函数f(x)={x^2-2x,x≥2,x+5,x<2.写出求f[f(x)]的程序,并画出程序框图.分析此题是求分段函数的函数值,先判断x的范围,选择计算f(x)的公式,再判断f(x)的范围,选择计算f[f(x)]的公式.

关键词： Algebra  

摘要： In this paper, we introduce the notion of n-folds P-ideals in BCI-algebras which is a natural generalization of P-ideals in BCI-algebras. Via the concept of fuzzy point, we establish several characterizations of n-fold and fuzzy n-fold P-ideals in BCI-algebras. Furthermore, we construct some algorithms for folding theory applied to P-ideals in BCI-algebras. © 2008 Elsevier B.V. All rights reserved.

关键词： Matrix algebra  

摘要： In the problem of the stabilizing solution of the algebraic Riccati equation, the resolvent I similar to(s) = (s I (2n) - H)(-1) of the Hamilton 2n x 2n-matrix H of the algebraic Riccati equation allows us to reduce the problem to a linear matrix equation. In [1], the constructions necessary for this and the theorem of existence and representation of the stabilized solutions to an algebraic Riccati equation was proposed. In this paper, the methods of constructing the resolvent and the linear reduction matrix defined by it necessary for the application of the theorem, and in addition, the algorithms of constructing stabilizing solution of the algebraic Riccati equation are proposed.

关键词： Blowup   Foliation   Grobner bases  

摘要： We propose an algorithm that uses Grobner bases to compute the resolution of the singularities of a foliation of the complex projective plane.

关键词： Algebra  

摘要： A generalized model of estimation algorithms (EA) for solving recognition problems in which objects are specified in an arbitrary way is described. It is shown that the algebraic closures of this model admit the same description as in the case of the classical EA model. In setting the problem, it would be natural to consider a system of partially ordered sets and functions of the form. The positive parameter x11(j) introduces a term which rewards the object Si for its proximity to the jth class. Similarly, the negative parameter x10(j) punishes the object for remoteness from objects of the jth class. In an algebra over the set of all recognizing operators not necessarily belonging to an EA model that is, operators transforming training information into matrices from the space was introduced. The operations including addition of operators, multiplication, and multiplication by a constant induce the corresponding fixed decision rule.

关键词： Spectra   organic compounds   Noise reduction   Concurrency   mass spectra   Solve   Fourier transform infrared spectroscopy   Fourier   Infrared radiation   Spectrography   Fourier Transform  

摘要： The aim of this study was to evaluate the benefits of the simultaneous use of two different analytical methods, namely Fourier transform infrared spectroscopy (FTIR) and mass spectrometry (MS), for online analysis of environmental and process samples. A mathematical method (NALMS) that identifies and quantifies all sill-le components front a single multicomponent spectrum was previously developed for MS, and ill this Study, the same method, named as SPECTACS, was adopted for solving also all FTIR spectrum and a combined FTIRMS spectrum. The performance of SPECTACS was evaluated by analyzing various gaseous samples, as case studies, containing volatile organic compounds, and the performance was compared with other methods, which are used to identify and quantitate organic compounds from multicomponent spectra. The results obtained show that SPECTACS with optimized noise reduction and solving a combined FTIR-MS spectrum call increase the reliability of identifying components in a single spectrum and also the accuracy in quantitative measurements when compared to the analysis with one analytical technique alone. The reasons for this improvement is evaluated and discussed in detail.

关键词： 边缘检测   数学形态学   精度   噪声  

摘要： 针对传统的边缘检测方法对图像较复杂或含有噪声时的边缘检测效果不佳的问题,论文研究了一种基于多尺度数学形态学的边缘提取方法。实验结果表明:与经典的边缘检测算子相比,该方法能较好地解决边缘检测精度与抗噪声性能的协调问题,具有较好的边缘提取效果。

关键词： 排课   时间表   遗传算法  

摘要： 从时间表问题的分析论述入手,对排课问题进行合理抽象并建立了该问题的数学模型。在此基础上,利用遗传算法进行问题求解,给出染色体编码方案和适应度函数,设计并实现了排课系统。结果表明算法具有合理性和可行性。