关键词： 边缘检测   数学形态学   动态二值化   去空洞  

摘要： 针对边缘检测算子对噪声敏感且检测边界相对模糊的缺点,提出了基于动态二值化的数学形态学边缘检测算法。该算法首先利用动态二值化方法确定将灰度图像转化为二值图像的阈值,然后利用数学形态学的腐蚀和去空洞相结合的方法去除二值化图像的噪声,最后用细化方法检测单像素图像边缘。仿真结果表明,该算法能降低噪声及图像模糊对边缘检测的影响,实现边缘的准确定位,并保留足够的图像细节,具有更强的去除噪声能力,为显微生物单体图像处理提供了一种有效的边缘细化检测方法。

关键词： 传递闭包   关系   Warshall算法  

摘要： 关系的传递闭包R+不但是离散数学集合论中的重要内容,也是计算机理论中重要的研究工具。根据传递闭包的相关理论可以得到传递闭包的三种求解方法。进而通过分析可以得到求解方法的数据结构、流程图等,然后通过计算机程序将其实现。

关键词： 估算   提出   认识   体现  

摘要： 计算能力历来是学生数学能力的基础与核心成分，是各国数学教育的重要内容之一．随着对“精算能力定向”的数学教育所存在问题与不足的反思，估算能力的培养开始成为国内外基础教育界在数学教育改革中高度关注与重视的一个重要课题．

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.