约束优化

With regard to CAD modeling in reverse engineering, some key techniques, including feature extraction from point cloud and parametric representation, are studied.

本文针对反求工程CAD建模路线：从点云提取特征曲面，再进行曲面参数化CAD造型过程中非常关键的步骤——特征提取进行了深入研究，着重研究了二次曲面特征的提取，并对点云中的全局特征约束优化技术进行了有益的探索。

We estab-lish,under some mild assumptions,a locally quadratic convergence theoremfor Method I and prove a semi-local convergence theorem for Method II.Applications of the two methods to complementarity,variational inequalityand optimization problems are investigated as well.

在某些适当的假设下，我们证明了方法I的局部二次收敛性和方法II的半局部收敛性；还研究了两个方法在求解互补问题，变分不等式问题及约束优化问题中的应用。

In this paper, combined the generalized projection technique and the idea of strongly sub-feasible direction method, a new sequential quadratic programming algorithm for inequality constrained optimization problems is presented.

本文结合广义投影技术和强次可行方向法的思想，给出了一个新的求解不等式约束优化问题的序列二次规划算法。

A model updating optimization algorithm under quadratic constraints is applied to structure dynamic model updating.

将二次约束优化方法应用于结构动力模型修正问题中。

The superlinear convergence property of the algorithm is proved in this paper, and compared with the Tensor algorithm. It is proved that this method is more efficient for solving unconstrained optimization whose object function is of rank one defect.

文中证明了该算法是一个具有超线性收敛的算法，并且把修正的BFGS算法同Tensor方法进行了数值比较，证明了该算法对求解秩亏一的无约束优化问题更有效。

The algorithm is based on a reformulation of the complementarity problem as an unconstrained optimization. It is proved that the algorithm is globally convergent.

在将互补问题转化为一个无约束优化问题的基础上，给出了一种求解互补问题的混合方法，证明了该算法的全局收敛性。

The measuring data after pre-processing was fitted with NURBS curve with constructing the non-uniform node vector using the method of cumulating chord length and optimizing the rights of NURBS curve restrictively. The formula of surface skinning which can be realized by programming was proposed on the basis of the foundation formulas in existence, then NURBS curves was skinned to gain the corresponding NURBS surface.

对经过预处理后的测量点数据，通过采用累积弦长法构造非均匀节点矢量和对权因子的约束优化，进行测量点数据的NURBS 曲线拟合，在现有基本公式的基础上推导出了可以编程实现的曲面放样公式，对得到的NURBS 曲线进行放样处理，最终得到了测量点数据的NURBS 曲面。

The core of optimized DFD strategy is coefficient matrix which is calculated by complex- shape method in optimization theory.

使用约束优化方法中的复合形法计算得到系数矩阵，作为最优驱动力分配控制策略的核心。

To establish local convergence results for optimization problems with simple bounds, many papers assume strict complementarity at the solution.

在建立简单界约束优化问题的局部收敛结果时，多数论文均假设在解处严格互补条件成立。

LC1 unconstrained optimization problem was discussed in the second chapter, giving a new trust region method and proving its global convergence and superlinear convergence under some mild conditions .

第二章讨论了LC~1无约束优化问题。给出了一个新的信赖域算法，并在一定的条件下证明了算法的全局收敛性和局部超线性收敛性。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。