Firstly, E-convex sets are defined in real linear Spaces and some its properties are discussed.
首先在实线性空间中定义了E -凸集并讨论了E -凸集的基本性质。
The representation theorem with order-extremal points is obtained for compact order-convex sets.
研究了序凸集的一些运算性质，得到了紧序凸集的序端点表示定理。
The concepts of weak convex and strong convex fuzzy mapping are introduced between two convex sets.
在两个凸集之间引入了弱凸模糊映射和强凸模糊映射的概念。
A clustering successive projection onto convex sets algorithm is presented for fast point matching.
为降低特征点配准的计算量，提出了一种聚类凸集投影算法。
Generalized support function is a very important concept in plane convex sets, it play a crucial role in discuss kinematic measure of convex sets.
广义支持函数是平面凸域的一个非常重要的概念，它在讨论凸域的包含测度问题中起关键的作用。
Based on the set theoretic formulation, a projection onto convex sets (POCS) algorithm is applied to find the solution to face image reconstruction.
通过迭代求解法和高斯金字塔模型，快速精确地估计得到配准参数，采用凸集投影（POCS）算法对图像序列进行了超分辨率重建。
An error robust multiple description coding algorithm was proposed, which combines the overcomplete wavelet transform and projection onto convex sets (POCS).
结合过完备小波变换和凸集投影集(POCS)算法，提出了一种对信道差错鲁棒的多描述编码算法。
In order to improve the superresolution reconstruction of image, a method of projections onto convex sets (POCS) based on the line process modeling is proposed.
为了改善超分辨率重建图像的效果，提出了一种基于线过程模型的凸集投影方法。
The purpose of this book is to provide an exposition of the theory of convex sets and functions in which applications to extremum problems play the central role.
这本书的目的是为了提供各类凸集和凸函数理论的介绍，它们在极值问题的应用中发挥核心作用。
Based on the concept of fuzzy random variable, the concept of convex sets of fuzzy random vectors is introduced, and some examples for such type of convex sets are given.
在模糊随机变量的基础上引入了模糊随机向量凸集的概念，给出了几个模糊随机凸集的例子。
In Chapter 1, the space of families of pair of convex sets is introduced, which is the quotient space of the set of families of convex sets under suitable equivalence relations.
第1章介绍了凸集类对空间理论，及基于凸集类对空间理论介绍了广义拟可微函数的部分微分理论。
It is shown that a point and a (compact) convex set are separated in this paper, and two compact convex sets are separated by a point of the original space in normed dual space.
给出了赋范共轭空间的点与(紧)凸集、紧凸集之间被原空间中的点分隔的定理。
This paper proposes a distributed object oriented algorithm based on energy weighted Projections onto Convex Sets(POCS) to solve the problem that POCS is not accurate and stable.
针对基于能量的分布式目标定位算法——加权凸集投影法（pocs）精度不高、稳定性差的不足，提出一种加权POCS算法。
In this paper, we propose an improving method of removing the blocking artifacts on images based on the theory of projections onto convex sets (POCS) in 3 to decrease the blocking effect.
本文基于文献[3]中的利用凸集投影(POCS)理论的去方块方法，提出一种改进方案来降低图像的方块效应。
A learning algorithm based on a hard limiter for feedforward neural networks (NN) is presented, and is applied in solving classification problems on separable convex sets and disjoint sets.
提出了基于硬限幅功能函数的前向神经网络的分类学习算法，并将其应用于可分凸集或不交集合的分类。
A group of ellipsoidal invariant sets is designed off-line, and then constitutes a terminal constraint convex set whose coefficients are taken as on-line optimization variables.
通过离线设计一组椭圆不变集，并将其组合成一个终端约束凸集，其中凸集参数作为在线优化变量。
We investigate the representation theorems of convex fuzzy sets.
给出了一类凸模糊集的表示定理。
In this paper, with the aid of idea of defining those sets and functions, the definitions of E -convex cone, pseudo-quasi- E -convex functions, E -direction derivative are discussed.
借助于这些集合和函数的定义思想，本文定义了E-凸锥、伪拟E -凸函数、E -凸函数方向导数等几种更广义的概念。
Based on the discussions, it was proved that the solution sets of the equations are convex sublattices of l.
在此基础之上，证明了方程的解集构成L的凸子格。
Based on the discussions, it was proved that the solution sets of the equations are convex sublattices of l.
在此基础之上，证明了方程的解集构成L的凸子格。
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