查询词典 quadric surface

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。

One is applying a same projective transformation to the two quadrics simultaneously; another is replacing one quadric surface with an appropriate member of the pencil formed by the two quadric surfaces.

由前面给出的QSIC的两个性质可知，简化过程中对两二次曲面进行的两种操作不会改变它们的QSIC的拓扑形态。

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。

Firstly, using quadric surface to fit with given surface and calculate the error metric to identify free surface and general quadric surface.

首先用一般二次曲面方程拟合测量数据并计算曲面的拟合误差，比较拟合误差与阈值的大小来识别自由曲面和一般二次曲面。

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。

Classifying and computing a QSIC (quadric surface intersection curve) are important operations in computing the boundary representation of a solid in solid modeling system, and also are applied in other geometric processing.

对两二次曲面交线(QSIC-Quadric SurfaceIntersection Curve)的拓扑分类和计算是立体造型系统计算三维物体边界表示的一个非常重要的操作，同时还可应用在其它的几何处理算法中。

On ray tracing algorithm, line-surface intersection is the basic operation. we have studied the intersection method between line and plane region, quadric surface, NURBS surface.

在光线跟踪算法方面，对精确模型下曲面的直接光线跟踪进行了尝试，提出了对平面区域、简单二次曲面及NURBS曲面直接进行光线跟踪的算法。

In relation to the feature extracting, the first step is to extract the "simple" surfaces such as planes, natural quadric surfaces and tori. Planes considered as degenerated quadric surfaces, the quadric surface feature extracting should be more important in RE.

而在点云的特征提取中，首先提取的是包括平面、自然二次曲面(包括球面、圆柱面、圆锥面)和圆环面的"简单"曲面，我们认为平面是一种退化了的二次曲面，因此研究二次曲面特征的提取是其中首要的课题。

Firstly, the quadric surface with three points which doesn't on one line is fitted, and then the tangent plane of this fitting surface is got. Meanwhile, the random tangent plane of surface patch subdivided is got also. Finally, the distance can be obtained through iteration between two tangent planes.

首先对点云数据中邻域不在同一直线的三个点进行局部二次曲面拟合，并求取该拟合曲面的切平面，同时求得细分曲面片任意一点处的切平面，最后在两个切平面上进行点对迭代运算，得到点到曲面片的最短距离。

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。