曲面

And the fundamental contents of surface representation and differential geometry involved in the study are summarily introduced.

本文以自由曲面几何分析技术为对象，主要进行了三个方面的深入研究。

Comparable to other methods, this algorithm mainly has four advantages:(1)It is effective and can be easily realized (2)The output is G -continuity surface (3)It is suitable for the object with arbitrary topology (4)It allows the distribution of data point sets asymmetrical.

与其他无组织散乱数据重建算法相比，本文算法主要有4个优点：(1)运行效率高，且思想简单易于实现；(2)输出结果为具有G 连续的曲面；(3)适用于任意拓扑结构的物体；(4)允许数据点集的分布具有一定的不均匀性。

And then, we gain some definitions that in relation to regular surfaces which include discrete Gauss curvature and discrete mean curvature.

由此获得了一系列的相对于光滑曲面的离散定义，如离散平均曲率，离散Gauss曲率等。

Emphases are put on solving the problem of repeating searching extreme points in contours of Gauss curvature drawing,and the improved Bulirsch Stoer contour curve searching method is used in extreme points searching to speed up the searching efficiency.

提出了一种针对非均匀有理 B样条自由曲面的高斯曲率等值线的光顺检测方法，重点解决绘制高斯曲率等值线时出现的极值点的重复搜索问题，并将改进的Bulirsch-Stoer等值线搜索法用于极值搜索中，提高了搜索效率。

Then we give the linear expression of,by f,g.h:=-f;=ρ·g,here ρ is the Gauss curvature of the Riemann manifold,wealso give the geomety explaination and geometrical pattern of these expressions.

给出了与对于f，g，h线性分解的形式。＝-f；＝-ρg，这里ρ是曲面的高斯曲率。并给出了各自几何意义的解释与图示。

Curvature of Surfaces, Gaussian Curvature and the Gauss map, Geodesics, Minimal

行移动和测地线，最小曲面，高斯朋涅定理等。

Firstly a qualitative criterion for determining the space between adjacent sections in the sampling process and Gaussian smoothing algorithm is proposed. Then a topological reconstruction method is given. At last a new reconstruction method based on the similarity between adjacent sections is proposed.

首先提出了确定断层间距的定性方法和数据平滑处理的高斯方法，然后给出了一种拓扑重构方法，最后提出了一种基于相邻层轮廓相似性的曲面重构新方法。

Automatic Programming for NC Machining of Gear Indexing Cam with Smaller Cutter;2. Study on the Technologies of Computer-aided Designing and Programming of Gear Indexing Cam

本文结合弧面分度凸轮加工的工程实际，以微分几何和空间曲面啮合理论为工具，对弧面分度凸轮机构的传动规律、啮合原理和数控加工进行了系统的研究。

Massive simulation experiments have proved the correctness and possibility of the fitting algorithm of quadratic surface which is based on general equation.

大量的仿真数据实验表明，本文提出的基于一般化方法的标准二次曲面拟合算法的正确性和可行性。

Mathematics A set of functions or surfaces that can be generated by varying the parameters of a general equation.

族：通过改变一般等式的参数形成的函数或曲面

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。