约束最小化

A cross-layer transmission control scheme based on Cognitive Radio for average power minimization under the constraints of collision with licensed user and buffer state is addressed.

提出了一种基于认知无线电技术的跨层传输控制方案，该方案在满足与主用户冲突率约束及缓存器状态约束的前提下，最小化系统平均功率消耗。

In the paper, the via minimization problem in multi layer routing with adjacent constraints is translated to a k colorable problem which has more general meanings, and a mean field annealing algorithm for the k colorable problem is proposed.

该文把具有相邻约束的多层通孔最小化问题转换为更具广泛意义的 k-着色问题，并提出了 k-着色问题的均场退火求解算法。

A neural network approach for the constrained via minimization in multi-layer VLSI/PCB routing based on Hopfield network is proposed.

本文提出了一个基于Hopfield网络的VLSI/PCB多层布线中的有约束通孔最小化方法。

Our approach consists of the following steps: providing a sketch based mapping between the sources and the target; deforming the target based on the deformations of the corresponding sources by means of differential mean value coordinates; smoothing the deformed target with constrained minimization method to form a key frame of the target animation; and interpolating between key frames created from to produce a complete 3D animation of the target.

该框架由以下几个步骤组成：使用草图在源网格和目标网格间建立映射；使用非闭合网格均值坐标，根据源动画的运动风格来变形目标网格；对变形后的目标网格求解最小化约束函数以获取光滑的目标网格，从而生成目标动画的关键帧；对由产生的结果进行插值，产生完整的目标对象的三维动画。

The paper studies on the method of traffic volume alteration fitted for Hebei provincial highway network ,carries on the modeling of the selection of flux observation point in OD back-stepping technique by the upper limit of maximum possible relative errors and the minimization of constrained domain,improves the precision of traffic volume alteration.

为研究适合于河北省公路网络的交通量更新方法，利用最大可能相对误差上限和约束域最小化对OD反推技术中的流量观测点选取进行建模，可提高交通量更新的精度，相关研究成果改善了河北省交通量预测模型，能很好地运用于河北省公路交通规划、管理和决策。

With the constraints of these feature points, perspective projection, coplanarity and colinearity, the curved surfaces can be recovered by minimizing the linearly constrained quadric objective function.

把特征点的位置、共面、共线、透视投影等作为约束，通过最小化线性约束下的二次目标函数实现曲面重建。

An integral square performance criterion containing tracking error and control energy was defined. Spectral factorization to minimizing the performance index for different systems was applied and corresponding parameter tuning methods of PID controller was derived, which could be used to obtain optimal control performance under control energy constraint.

定义了一个包含跟踪误差和控制能量在内的积分平方性能指标，针对不同系统运用谱分解的方法最小化该性能指标，从而导出相应的PID控制器的参数整定方法，可使系统在控制能量约束条件下具有最优的控制性能。

First,this problem is converted into the problem of H_2 opmization constrainedby H_∞performance and pole location,then an auxiliary perfomance function is introduced,andthe former problem can be converted into the optimal problem of minimization of the auxiliaryperformance function with constraints described by a matrix equation,at Jast this problem issolved by lagrange multipliers,and the static output feedback controllers are designed.

首先将文题转化为一个具有H＿∞性能和系统闭环极点位置约束的系统H＿2性能优化问题。进而通过引入一个辅助性能函数，将其转化成有一个矩阵方程约束的辅助性能函数的最小化优化问题，并给出这个问题静态输出反馈控制器的解。

The experiment results prove that the way with regularization technology is better than the way without regularization technology. In order to overcome the limitation of the regularization method, chapter 6 builds an irregular MRF model suitable for the motion estimation of feature point based on MAP-MRF frame. The energy function, which can reflect the joint probability distribution of motion parameters and the constraints relation of local 3D motion parameters, is established in irregular MRF.

为了解决正则化方法只能分析非刚体局部三维运动的缺点，第6章在基于MAP-MRF的分析框架中建立了与特征点运动估计相对应的非规则MRF模型，构造了非规则MRF模型中反映非刚体局部三维运动参数之间约束关系和运动参数联合概率分布的能量函数，通过能量函数最小化估计运动参数。

The adhesion region between two adjacent teeth on the 3D dental model is first detected by exploiting the minimum principal curvature information. Then, the adhesion region is cut off and the tooth profile opening caused by the removal of the adhesion region is filled with triangular patches adopting a local optimization scheme, it is then refined to form an intermediate restoration surface patch. The final restoration result is obtained by minimizing the surface energy to reflect the bio-characteristics of the single tooth.

根据三维牙颌模型的形态特征，采用基于曲面最小主曲率的方法对粘连区域进行准确的检测提取；对删除齿间粘连区域后生成的齿间开口利用局部最优化权值规则进行剖分并细分优化，生成"中间"恢复曲面；根据牙齿的生理医学特征，以齿间开口的边界信息为约束条件，采用基于最小化曲面能量函数的方法对"中间"恢复曲面进行变形调整，实现单颗牙齿缺失形状的准确恢复。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。