凸点

At last,we use these feature regions to construct affine invariant s,based on affine geometry invariant property.

利用仿射区域划分获取一组扩展质心集合作为图像特征点集；求解特征点集的凸包，根据扩展质心的性质将凸包顶点均匀组合成若干特征区域；利用仿射几何性质构造了有效的仿射不变量。

Tan and Xu [1] had proved the theorem on convergence of Ishikawa iteration processes of asymptotically nonexpansive mapping on a compact convex subset of a uniform convex Banach space , Then Liu Qihou [3] presents the necessary and sufficient conditions for the Ishikawa iteration of asymptotically quasi-nonexpansive mapping with an error member on a Banach space convergent to a fixed point . Xu and Noor [5] had proved the theorem on convergence of three-step iterations of asymptotically nonexpansive mapping on nonempty closed, bounded and convex subset of uniformly convex Banach space.

Tan和Xu已经证明了建立在一致凸Banach空间紧凸子集上的渐进非扩张映射的Ishikawa迭代序列的收敛原理，随之，刘齐侯又阐述了Banach空间上渐进准非扩张映射T的具误差的Ishikawa迭代序列收敛于T的不动点的充分必要条件；之后，Xu和Noor也证明了定义在一致凸Banach空间某非空有界闭凸子集上的渐进非扩张映射的三步迭代序列的收敛原理。

The optimality conditions of Kuhn-Tueker and Fritz John's saddle points of vector optimization for generalized subconvex-like mapping are presented. Lagrange dual mapping and relationships among optimality conditions of saddle points, efficient and weak efficient solutions for vector and scalar optimization are established.

在拓扑向量空间框架内研究广义锥次类凸映射的向量优化，给出了广义锥次类凸映射的Kuhn-Tucker和Fritz John鞍点的最优性条件和Lagrange对偶，建立鞍点最优性条件与向量优化有效解和弱有效解之间的联系。

Systems of inqualities,the minimum or maximum of a convex function over a convex set,Lagrange multipliers,and minimax theorems are among the topic treated,as well as basic results about the structure of convex sets and continuity and differentiability of convex functions and saddle-functions.

其中对不等式系统、凸集上的凸函数的极小或极大、拉格朗日乘子和极小极大定理做了专题论述，同时对凸集的结构和连续性以及凸函数的可微性和鞍点函数的基本结果做了介绍。

The peak of the bulge accorded with the vertical line through the posterior convexity of superior articular surface of atlas. The superimpose rate of the vertical line with the M line were 48% to left and 65% to right. The surplus existed in l～2mm to lateral of M line. The exit point of screw was the median point of vertical line on the anterior cortex of lateral mass. The superimpose rate of BB line the line linked with the

寰椎后结节中点及上关节突后凸尖下的骨质弧形隆起的顶点可作为寰椎椎弓根螺钉进钉点的准确标志，上关节突后凸尖及横突尖可作为寰椎椎弓根进钉点的大体标志；沿寰椎椎弓根轴线进钉较为安全，内倾17°，仰角变异大，出钉参照前结节顶点；椎动脉沟中外的厚度及进钉点处寰椎后弓的高度是寰椎椎弓根螺钉固定的主要限制性因素。

In chapter 4 , with S-KKM mapping , a new Ky Fan\'s minimax inequality is proved , the locally convex H-space with uniform structure is introduced , s-HKKM mapping is defined as the generalization of KKM mapping, with the H-convexity of Hausdorff locally convex H-space , a new fixed point theorem for the compact andclosed mapping belonging to the class s-HKKM is established ;with local intersection property of muti-function ,K-H-quasi-convexity of mapping , connectedness of set and condensing correspondences, some new vector quasi-variational inequalities are established , respectively .

第四章利用S-KKM映射，建立了新的Ky Fan极小极大不等式；定义了带有一致结构的局部凸H-空间，利用Hausdorff局部凸H-空间的H-凸性，对于属于s-HKKM中紧的闭映射建立了新的不动点定理，利用对应的局部交性质、映射的K-拟-凸性、集合的连通性以及φ-condensing对应分别建立了相应的拟向量变分不等式。

To compute the convex hull of a planar point set, first to find the extreme points of the planar point set and get the sub collections of points candidate for vertices of the convex hull between them.

新算法达到目前平面点集凸包问题的渐进最好算法的时间复杂度O，其中，n为平面点集的点数，h为平面点集凸包的顶点数。

A new algorithm of computing convex hulls of plane point sets is presented,based on the research on a large amount of algorithms of computing the convex hulls of plane point sets.

在研究了大量的求平面点集凸包的算法基础上，提出了一种新的构造平面点集的凸壳算法。

Triangulation of a set of scattered points on a plane is obtained by a novel algorithm, which generates the convex hull of it in the process of triangulation according to the property that the boundary of triangulation meshes coincides with the convex hull of the set of points.

对于给定平面散乱点集的三角剖分，根据平面三角剖分网格外边界与点集凸包重合的性质，实现了点集凸包和三角网格的综合生成。

By applying existence theorems of maximal elements for a family of GB-majorized mappings in a product space of G-convex spaces, some coincidence theorem, Fan-Browder type fixed point theorem and some existence theorems of solutions for a system of minimax inequalities are proved under noncompact setting of G-convex spaces.

通过应用G-凸空间的乘积空间内一族GB-优化映象的极大元的存在定理，在G-凸空间的非紧设置下证明了某些重合点定理，Fan-Browder型不动点定理和极小极大不等式组的解的存在性定理。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。