查询词典 developable surface

Surface curvature is used to estimate the geometrical parameters of the surface patch and give qualitative analysis on surface patch.

利用曲率从深度图象中提取出表面的几何参数，对表面作出定量分析。

In constructing the surface enclosing each patch, NURBS (non-uniform rational B-spline) surface is employed to describe a three-dimensional free surface.

在构造表面时，应包括每一个片，NURBS表面被用来描述一个三维自由表面。

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。

For 5-Axis Cut Line Surface milling and Swarf milling, the alues are: USE_SURF_NORMS—The surface normal is used in determining the tool axis orientation, that is, any user-specified axis definition proides a localized lead and tilt angle that is applied to the normal of the surface being machined.

对于"5 轴切削线曲面"铣削和"刀侧铣削"，值为：使用曲面法向-曲面法向用于确定刀具轴方向，即，任何用户指定的轴定义都提供应用到加工曲面的法向的定位导引角和倾角。

We construct the algorithm of three-dimensions model surface reconstruction in three stages: first, we use Oct-tree to describe scatter data points in space, second find adjacent points and tangent plane and use the triangulation method to realize 3D surface reconstruction in the end, in research on algorithm of three dimensions model surface reconstruction based on scatter data points.

在"基于散乱数据三维表面算法的研究"这一章中，首先通过八叉树的数据结构的算法对三维散乱数据进行处理，然后再确定邻点和微切平面，最后用三角网格化的方法完成三维物体表面重构。

In the algorithm, tangent plane of the surface at each point is first calculated according to the point and its neighbor points. In an optimized sequence, normal vectors of the tangent planes are oriented to the outside of the surface. Finally, marching cube method is used to output the triangular representation of the surface.

该算法首先根据测点的邻近测点估算曲面在该测点处的法矢，并采用优化的顺序对法矢方向进行调整以使各测点处的法矢都指向曲面外侧，最后用步进立方体算法输出三角网格模型。

Considering that the NURBS has become a standard in CAD/CAGD, we shall investigate the approximation to the solutions of the minimal surface equation with the tensor Bezier surface and B-spline surface.

首先我们讨论极小曲面的分片线性的逼近，由于NURBS已经成为形状描述的唯一工业标准，而且极小曲面本身至少应该是二阶光滑的，因此我们讨论了极小曲面方程的Bezier和B样条逼近。

Finally, combining PDE with Differential Geometry, parametrically representing the surface, tensor based image processing techniques have been proposed, such as edge detection , morphological operation? implicitly representing the surface as the level-set of the higher dimensional function, the variational problems and partial differential equations that define maps onto the given generic surface have been discussed.

本文结合微分几何学，基于曲线坐标系下的微分算子将平面上的图像处理框架推广到曲面上，得到了参数化曲面上的图像处理框架，并给出了边缘检测和形态学运算的算例；在已知给定曲面的隐式表达时，探讨了定义在任意曲面上的偏微分方程，解决了任意曲面上数据场的扩散问题。

For the Bezier tensor product surface, recursive degree elevation and subdivision both generate a sequence of control meshes that converge to the underlying Bezier surface, and get the piecewise bilinear approximation of the original surface.

将升阶和子划分算法分别应用于Bézier张量积曲面，会产生一系列的控制网格，得到原曲面的分片双线性逼近。

The stack type reactor according to the present invention comprises an upper block including at least two inlets through which different kinds of raw substances are entered and a lower channel communicated in fluid with the inlets and formed a lower surface thereof; and an unit block including an upper channel corresponding to the lower channel of the upper block and formed on an upper surface thereof, the unit block including a lower channel formed a lower surface thereof and communicated in fluid with the upper channel via a connecting flow passage penetrating therethrough.

根据本发明的堆叠式反应器包括：上部块，其包括至少两个允许各种原料物质进入的入口以及与该入口流体连通且形成于该上部块下表面的下部通道；和单元块，其包括与上部块的下部通道对应且形成于单元块上表面上的上部通道，该单元块包括形成于单元块下表面且经由穿透其中的连接流道流体连通上部通道的下部通道。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。