曲面

From the theory, the algorithm for determination of the degree of implicit polynomials is followed: detecting the stationary points in the object boundary based on its features, and then calculating the minimum degree according to the formula derived from the theorem. In addition, the theory can be extended to three-dimensional object.

该方法首先由给定物体边界的轮廓检测出其驻点数，然后根据驻点数得到拟合隐含多项式曲线方程次数的下界，进而推广到三维物体的隐含多项式曲面拟合次数的确定。

In the classification of QSIC, the notion of affine finiteness of a space curve is put forward.

在对两二次曲面交线的拓扑分类中，本文提出了空间曲线的仿射有限性这一性质。

Using the substitution-elimination method affine algebraic variety can be resolved to pure d-dimensional subvariety and expressed by an algebraic hypersurface on d+1-dimensional space with a sequence of elimination-polynomial systems. All 0-dimensional solution can be found, too.

利用变换消元法可以把代数簇分解成纯d维的子簇，并把代数簇表示为d+1维子空间上的超曲面形式和一系列的消元多项式组，且能求出全部孤立解，同时给出了算法及其在多项式因式分解中的应用。

In each SFS algorithm,parameters of the source direction and albedo of the surface are required.

在SFS(基于阴影的三维表面重构)各种算法中，都需要光源方向及曲面反射率。

Lagrange Interpolation; Osculatory Interpolation; Dimension Of Interpolation; Algebraic Curve And Surface; Bezout's theorem

Lagrange插值；切触插值；插值空间维数；代数曲线曲面； Bezout定理

The cubic algebraic curves (the Bezier curve and B style curve, etc belong to the parameter curve) is apter to realize the curve transition and fitting to dispersed data than the cubic parametric curves.

比如参数曲面与平面的交线就是一条平面代数曲线；平面参数曲线的等距曲线也是一条代数曲线。

Content: This course discusses the line, plane and quadratic surface in space through algebraic methods, and aims at developing the students' ability to solve geometric problems through analytic methods and to relate geometric intuitive image with algebraic quantitative relation.

主要内容：本课程运用代数方法研究空间解析几何中的直线、平面与二次曲面，培养学生运用解析方法解决几何问题的能力，以及将几何直观形象与代数数量关系相联系的能力。

An algorithm for computing the geodesic line between the two points of an algebraic surface was presented.

给出了求解代数曲面上两点之间测地线的一种算法。

Blending of implicit algebraic surface is an important issue in Computer Aided Design.

在计算机辅助几何设计和计算机图形学领域中，隐式代数曲面的光滑拼接是个重要问题。

The process of converting the algebraic surface into the parametric surface is called parametrization , which has received much attention in recent years.

这种方法首先解决了基线扫描参数化方法中不能得到有理参数表达式的问题，给出了混合曲面的统一、低次的有理参数化。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。