查询词典 isoperimetric line

In chapter four, we study the second isoperimetric connectivity of line graphs and line digraphs. For line digraphs, we show that the second isoperimetric connectivity of strongly connected line digraphs with δ≥ 2 equals its connectivity. For line graphs, we give a sufficient and necessary condition for the existence of the second isoperimetric connectivity, and we show that under the condition that the second isoperimetric connectivity exists, the second isoperimetric con

第四章研究线图和有向线图的第二等周点连通度，得到了如下结果：(1)最小度大于等于2的强连通有向线图的第二等周点连通度等于它的点连通度；(2)对于无向线图，我们给出了第二等周点连通度存在的充要条件；(3)对于第二等周点连通度存在的无向线图，它的第二等周点连通度或者等于限制点连通度或者等于最小度和次最小度的和。

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In order to study the popular curve shortening flow in the plane, Gage[3] has shown in 1983 the following inequality, if k is the signed curvature of a closed convex plane curve γ with length L and enclosing area A, then one gets Gage calls it an isoperimetric inequality in [3], but he does not show that the equality holds if and only if the curve γ is a circle, while as an isoperimetric-type inequality, one should prove this kind of result.

Gage称之为等周不等式，但他没有证明其中等号成立当且仅当，γ为圆周，而作为等周型的不等式是应该证明这种结果的，本文我们利用单位速率外法向量流，通过努力证明了这种结果，从而把Gage不等式加强成更加等周的形式。

Firstly,isoperimetric algorithm is applied in still image segmentation,and the result is compared with two methods based on edge detection and region detection.Then,isoperimetric algorithm is used to segment image video by combined with operation of morphology.

首先利用等周算法对静止图像进行分割，并与边缘检测和区域检测的两种分割方法进行结果比较；接着利用等周算法并结合数学形态学处理对图像序列的分割进行了研究。

One algorithm,isoperimetric algorithm based on graph theory is applied and researched on image segmentation.Firstly,isoperimetric algorithm is applied in still image segmentation,and the result is compared with two methods based on edge detection and region detection.

1引言图像分割是图像处理领域和计算机视觉中的一个基本而关键的问题，其目的就是将人们感兴趣的目标从图像背景中提取出来，为后续的分类、跟踪、识别、处理等提供基础。

Firstly, according to the operating features of tie-line, the key decision factors deciding the operating mode of tie-line are extracted, a rule base of definition of tie-line operating modes is established and a discriminative model of tie-line operating modes is proposed; then during the design of the interface with data of EMS, the flow sheet for tie-line power flow monitoring is optimized; finally, an on-line monitoring system for tie-line power flow, which possesses the functions such as definition of tie-line operating mode rule base, transmission line operating mode monitoring and tie-line power flow monitoring, is developed, and the developed system can provide report forms of statistical analysis on transfinite record of tie-line power flow.

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This article focuses on the line-line, line-region and region-region topological relations algorithm, which come down to the same question: whether there are intersections between line and line. The sweep-line algorithm was studied by many people, but has some deficiencies to be improved, in order to handle some special cases and increase program efficiency. My works as follows: rectangular envelope to reduce executive times , vector cross multiplication to determine intersection between line and line, coordinates and slope method to deal with some special cases. C program examples are showed together.(5) Finally, to prove capability and efficiency of the model and calculation method, some test systems are developed. For example, complex spatial topological relation query, parcels' exact area with the area of linear object reduced in land use, quality inspection to cadastral data according to topological rule, spatio-temporal change query of cadastral data.

将线线、线面、面面之间的拓扑关系实现的算法归结为线与线之间求交的基本问题；为处理一些特殊的拓扑关系情况，提高扫描线算法的效率，探讨了包络矩形粗滤、判断线线是否相交的矢量叉乘法、线节点重合或共线的斜率坐标判断法等改进方法；同时还设计了一种新的节点微小圆求交的算法，可应用于图斑与线状地物细分拓扑关系及地类面积的计算；（5）本文设计了实验系统，包括复杂对象的拓扑关系表达与计算程序、图斑地类面积的计算程序、基于空间拓扑关系规则的地籍数据库质量检查功能，以及时空拓扑关系和变化语义分析等原型，验证了拓扑关系表达模型和计算方法的可行性和实用性。

The witness also told the jury at the Royal Courts of Justice in London that he saw a paparazzo fighting with a member of the public who was trying to stop him taking pictures in the minutes before the emergency services arrived.

他还告诉在伦敦皇家法庭的陪审团，在急救服务到来之前，他当时看见一个狗仔队正和一群阻止他拍照的人打架。

The entire N／C program on a tape is made up of an accumulation of these successive data blocks.

纸带上的整个数控程序由这些连续数据单元连接而成。