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In Chapter 1,some elementary knowledge was introduced,such as theBernstein-Bezier representation for polynomials,conform triangulation,theconditions of convexity for Bézier spline surfaces,the funtional andgeometric continuity condition for neibour Bézier surface patches etc.,specially,based on the Liu-Ding-Yuan Theorem for geometric continuity,some simple and practical conditions were obtained.

第一章介绍一些基本知识，如多项式的Bernstein-Bézier表示，相容三角剖分的定义，Bézier三角样条曲面保凸的条件，相邻Bézier曲面片函数连续和几何连续的条件等，特别地，在刘鼎元关于几何连续条件的一般定理的基础上，导出了几个较简单的实用的一阶几何连续条件。

Mr. Xu of referral center of psychology of school of cent of prosperous of great connecting with the boxing skill also expresses Hua Ke, with classmate teacher confabulate sometimes more effectively help undergraduate solves psychological problem, had the difficulty that is hard to handle quite when the student especially when, the guidance with teacher correct major more it is important to show.

华科大武昌分校心理咨询中心的徐老师也表示，和同学老师谈心有时更能有效地帮助大学生解决心理问题，非凡是当学生有了比较难于处理的困难时，老师专业正确的指导更显重要。

Wrote him an hysterical letter in which she confusedly sympathised with him.

奥古斯塔皇后给他写了一封非常狂热的信，信中胡乱地向他表示了极大的同情。

Chapter 1 briefs the relation between invariance and computer vision and summarizes the research and application of invariance in computer vision. Chapter 2 first derives the transformations of three camera models, then makes the correpondences between the models and three typical geometrical transformation groups by analysing the transformations respectively. The correspondences supply the theoretical basis for applying geometrical invariants to resolve the problems of computer vision. In Chapter 3, we describe the geometrical invariant theory and prove some geometrical invariants of coplanar points, lines or conics by algebraic method. In order to use the invariants of conic pairs to describe general 2D shapes, we discuss the perspectively invariant representation of planar curves using conies in detail. A system consisted of two TMS320C25 and based on moment invariants is introduced in Chapter 5. The system can recognize more than 30 different shapes of object model or more than 10 plane models with similar shape in real time.

第一章简述了不变性与计算机视觉的关系，以及计算机视觉中的不变性研究和应用概况；第二章推导了计算机视觉中常用三种投影模型的变换关系，通过对这三种变换关系的分析，分别建立了这三种投影模型和几何学中的三种变换群之间的一一对应关系，为几何不变性在计算机视觉中的应用提供了理论基础；在第三章中，我们介绍了几何不变性的理论，并且用代数方法证明了共面点、直线、二次曲线的几何不变量和射影不变量；为了把二次曲线的不变量用于一般二维形状描述，在第四章中我们详细地讨论了用二次曲线实现一般平面曲线的透视不变性表示的方法；第五章介绍了用两片TMS320C25构成的、基于不变矩形特征的运动目标实时识别系统。

This method uses quantified conjunctive normal form formulas to represent the unknown constraints in the circuit under verification, and needs no modification of the circuit structure so that it saves the computational resources significantly.

该方法使用量化的合取范式来表示电路中出现的未知约束，并且不需要修改电路结构，有效地节省了计算资源。此外，通过使用随机并行模拟增强了可满足性算法的错误检测能力。

That is the finite difference equations are not consistent with the differential equations of non- Newtonian fluids in porous media.

如何把流体的非牛顿行为用差分方法恰当地表示出来，是油藏数值模拟需要研究的课题之一。

People have been conspicuously honking outside his home, he says.

人们已经很明显地在他们家外面摁喇叭，他表示。

of operation in startstop transmission in which the signals representing a series of characters follow one another contiguously (for example, in sending steadily from a perforated paper tape as compared to manual keyboard operation).

起止式传输的一种操作方法，在此方法中，表示一系列字符的信号连续地一个紧跟一个(例如，与人工键盘操作比较，穿孔纸带操作是连续发送的)。

The work in this thesis is based on continued fraction theory. Combining continued fractions with polynomial functions, we construct a new osculatory continued fraction interpolation—osculatory rational Hermite-like interpolation. Its representation is simpler than that of Hermite polynomial interpolation and its computation is concise since the continued fractions coefficients can be worked out by using Viscovatov algorithm.

与之相关的理论成果不断地推陈出新，本文就是在连分式理论的基础上做了相应的工作，将多项式和连分式相结合，构造了一种新的切触有理插值——类Hermite切触有理插值，新的插值方法在表示形式上比传统的切触有理插值更直观，并且通过引入Viscovatov算法，切触插值连分式的系数求解得以简化。

Any continuous curve can be closely approximated by a series of small parabolic segments.

任一连续曲线可以借一系列很小的抛物线线段较精密地近似表示。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。