几何的

This dissertation systematically studies all 4 possible cases of their combination. Based on geometric invariant, matrix theory, computational geometry, genetic algorithm and so on, a series of effective algorithms are proposed.

本文对上述两种分类的组合共四种情形下的点模式匹配问题，进行了系统的研究；并基于几何不变量、矩阵理论、计算几何、遗传算法等提出了一系列行之有效的算法。

On this basis, it deeply analyzesed the spatial geometry structure of hyper spectral data lattice distribution, concluded that high\|dimensional space of remote sensing hyper spectral data belong to low\|dimensional geometry structure \|"hyperplane" shape, and anomaly point group which includes alteration information usually dissociates out the "hyperplane".

在此基础上，对高光谱数据点阵分布的空间几何结构进行了深入的研究分析，推断出遥感高光谱数据集合的高维空间属于低维几何结构"超平面"形态，而包含蚀变信息在内的异常点群通常会游离在"超平面"之外。

However when the cases with LCL=0 occur, plotting values beneath the LCL is impossible given the non-negative nature of units such type of lower control limit has no ability to detect rate increase. In fact,situation with a LCL is not uncommon. In this paper we propose the g-type chart with asymmetric control limits.

但几何控制图经常会出现下限LCL为零的情况，而由于检测产品数的非负性，当LCL为零时，几何控制图就不会出现报警，因而此时对检测p的增加几乎是没有效果的。

A novel feature recognition method based on part modeling process which was recorded by way of macro command in CAD systems was proposed herein: geometry and topology entities which produced by single modeling process were analyzed in the single feature recognition process and all features in part were recognized based on step by step strategy.

每次特征识别仅对单个建模过程中的几何实体和拓扑实体进行分析，逐一识别零件模型的所有特征，有效避免了传统方法对零件模型的全部几何实体和拓扑实体进行特征识别存在的缺陷。

Color image sequence is presented by multivectors in geometric algebra,it is proved that if meet the constrained conditions for color optical flow analysis,a multivector instead of multichannel image processing method can be used to represent the continued distribution of images to expand the measurement range.

在几何代数域内对彩色图像序列用多重矢量表示，证明了彩色光流场分析时进行约束条件时的测量问题，通过多重矢量而非多通道的图像处理方法来表示图像连续特性，从而扩大了测量范围；然后依据物体色彩在运动过程中保持不变的原理，在几何代数域内推导了彩色图像序列的光流约束方程及其解法。

Proposed surface geometric operations and the improved data structure can be applied for a general parametric surface and for representing solid bounded by other parametric surface.

所提出的曲面几何处理的算法，改进的可统一表示曲面、实体模型的数据结构亦可应用于一般的参数曲面几何处理与曲面实体模型的表示。

There were many champions of synthetic geometry , Euclid-style development of projective geometry, in the nineteenth century, Jakob Steiner being a particularly brilliant figure.

该模型的欧几里得的要素，发展的几何连接作为一个不言自明的制度，是在紧张与笛卡尔的减少几何代数通过坐标系统。

The first class of curve contains the quartic Wang-Ball and Said-Ball curve and many curves locating between them. The second class of curve contains the quartic Said-Ball and Bézier curve and many curves locating between them. By analyzing the relation between the new curves and the quartic B6zier curve, the geometric meaning of the shape parameters is obtained, and the geometrical drawing method of the new curves is given.

第一种曲线包含了四次Wang-Ball和Said-Ball曲线以及介于它们之间的无数曲线；第二种曲线包含了四次Said-Ball和Bézier曲线以及介于它们之闻的无数曲线；通过分析新曲线与四次Bézier曲线之问的关系，得出了形状参数的几何意义，并给出了它们的几何作图法。

Although this structure is comparatively complex, it still can be divided into sub-strctures to study. This paper puts forward for the first time the loop geometric model of MBWK fabric reinforced composite. And based on this research, the total structural model for the MBWK fabric reinforced composite was also derived subsequently. In addition, the Non-Uniform Rational B-Spline Curve NURBS for abbriv.

我们经过合理分解复合材料的内部结构，对实际结构作了必要的简化之后，得到了可以进行几何和力学分析的结构单元，也就是说，线圈结构可以用数学方法描述，所以本论文第一次提出了MBWK织物增强复合材料线圈结构的几何模型并分析了这种复合材料整体的结构形态特点。

On the other hand , illuminated by close relation between harmonic maps and sumanifold theory, we have also researched in-depth about some relative problems in submanifolds theory which include: the estimate of heat kernel and eigenvalue and it geometric application of submanifolds with or without boundary; many kinds of pinching problem of submanifolds which include the rigidity theorem, topological sphere theorem, differential sphere theorem and topological finite theorem.

另外，鉴于调和映照与子流形之间的密切关系，我们还要深入研究子流形几何中与之相关的一些问题，主要包括：带边与不带边子流形的热核与特征值估计及其几何应用；子流形的刚性定理、拓扑球定理、微分球面定理、拓扑有限性定理等各类Pinching问题。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。