二次曲面

With the Lagrange multiplier method , the minimum distance of the center of a circle and a quadric surface was provided and the tangency condition of curve and surface was given.

利用拉格朗日乘子法求解二次曲线和二次曲面之间的最小距离，给出了曲线与曲面相切的条件。

For example, one of our conclusions is that a nonsingular QSIC has one affinely finite component if and only if the characteristic equation of the two quadrics has two distinct real roots and a pair of complex conjugate roots.

由于两二次曲面的特征方程实根个数及其重数可用精确的计算方法得到，本文分类结果可用于实现对任意两二次曲面的非平面交线拓扑形态的判断。

Besides, three new properties of the pencil formed by two quadrics have also been put forward in 3D real projective space in this thesis.

除此之外，本文还给出了两二次曲面形成的二次曲面束在实射影空间的两个新的性质。

Properties to confine types of the quadrics in a quadric pencil in real projective space are summarized and briefly proved in this thesis.

本文对二次曲面束在实射影空间包含的成员的讨论总结了关于二次曲面束的成员组成的一些结论，并给出了非常简洁的证明。

It is proved that two images of the quadric surface is not enough to reconstruct the quadric surface.

我们证明了两幅视图轮廓包含的信息不足以重构二次曲面，三幅视图对于恢复二次曲面三维表面是充分而巨必要的。

For fingerprint segmentation, aiming at the deficiency of existing method, we first bring forward a new thought of fingerprint segmentation based quadric surface model and carry it out.

在指纹图像分割方面，针对现有指纹图像分割方法存在的不足之处，首次提出采用二次曲面对指纹图像进行分割的思想，并使用该思想实现了基于二次曲面模型的分割方法。

Generally the surface of objects such as mechanical parts is mainly composed of quadric surface, free-form surface and blending surface, which are defined as features in this paper.

实物产品尤其是机械零件的表面通常是由一些可以称为特征的几何曲面组成，这些几何特征曲面主要包括二次曲面、自由曲面和过渡曲面等。

Binding for the Java language OpenGL tutorial-conicoid 18th class conicoid painting is a composite object metho...

NeHe的OpenGL教程-二次曲面第十八课二次曲面是一种画复合对象的方法，这种方法通常并不需要很多的三角形。

Based upon the classification of the QSIC, an algorithm for computing a nonplanar intersection curve of any two quadric surfaces is presented in this thesis.

在对两二次曲面非平面交线进行拓扑分类的基础上，本文提出了计算任意两二次曲面非平面交线的算法。

In feature-based reverse engineering, with the research of surface feature handling done wieldy and deeply, a methodology of surface-feature based re-modeling has come into being, with which the quadric surface, simple free-form surface and blend surface feature can be directly extracted from point cloud conveniently.

目前，在基于特征的反求工程中，有关曲面特征处理的研究已经比较深入，可以方便的直接从点云数据中提取二次曲面特征、简单自由曲面特征和过渡曲面特征，基本形成了一种基于曲面特征的反求工程CAD建模方法。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。