从测量规划开始，通过三坐标测量机测量，获得大量的曲面坐标点。
A lot of carve surface coordinate points are gained from measurement layout to measure by (coordinate) measuring machine (CMM).
据梯度、散度、旋度的定义，用物理的方法给出了在球坐标系中的表达式；此方法也可以推广到其它的正交曲面坐标系中。
According to the definitions of grads, divergence and rotation, the expression in spherical coordinate system is given from the point of physics.
现在必须得停一下了，之前说到的，可以通过把坐标系变换到某平面上，那些曲面都是平的。
Now, this has to stop somewhere. I can start claiming that I can somehow bend my coordinates to a plane, any surface is flat.
给出曲面积分在空间坐标的正交变换下的一个计算公式。
A calculating formula for surface integrals under orthogonal transformation of space coordinates is given.
鞋楦坐标测量采用关节式测量手臂实现鞋楦曲面特征线的提取。
The extraction of feature lines for shoe instep surface curve was realized by joint-type measurement arm in Coordinate measurement in shoe instep.
在水斗三维贴体坐标系中，还推导了流体粒子在水斗曲面上的运动控制方程。
The governing equation of motion for fluid particles moving on bucket was deduced on BFC at the same time.
介绍了转动关节的基本结构和工作原理，给出了以转动关节为基础的三坐标数控铣床的曲面抛磨装置。
The polishing and grinding for curved face device is given based on these turning joints, of numerical control milling machine with three linear coordinates.
根据坐标测量需进行测头半径补偿的特点，研究了正则等距曲线曲面的有关性质。
In terms of the feature of radius compensation for coordinate measurement, the natures of offset curve and surface are studied in the dissertation.
分析研究了利用坐标测量机进行曲面模具数控测量的有关理论和方法。
Some methods and theories are systematically studied about surface NC measure by coordinate measure machine (CMM).
利用求补色立体图屏幕坐标原理，采用浮动水平线法来绘出空间曲面的透视投影图形。
Based on the screen coordinate theory of solid diagram of complementary color, a perspective projection diagram of space surface is drawn using floating horizontal line method.
介绍了利用安装于三坐标测量机CMM上的激光测头测量自由曲面的立体视觉检测系统。
A stereovision inspection system for measuring free-form surface is introduced which consists of coordinate measuring machines (CMM) and a laser probe.
多坐标曲面加工是数控加工中的关键技术，而刀具轨迹的规划是数控编程的基础和关键。
The multi-coordinates machining curved face is the pivotal technique in the NC machining, and that planning tool-paths are elements and key of NC codes programming.
并且通过坐标变换或投影平面代替曲面等方法可以处理球壳及曲面屋盖的风压分布插值计算。
Wind pressure distributions on spherical shell or curving roofs can be obtained by the method of coordinate transform or projected plane of curved surface.
用球面坐标建立了圆柱滚子球面凸轮的轮廓曲面解析方程，为此种凸轮的设计计算和数控加工提供了理论依据。
This paper establishes a contour surface equation of the spherical surface cam with a cylindrical roller, Which provides theoretical basis for the design and NC processing of the cam.
研究了芳族自由基负离子裂解反应中沿着反应坐标两个势能超曲面可能存在交叉点的问题。
The possible existence of a crossing point between two potential hypersurfaces along the reaction coordinate for the cleavage reactions of aromatic radical anions is studied.
其基本环节有：模型表面空间坐标数据测量、数据预处理、重构曲面模型、数字模型输出。
Its basic step includes: data measure of model surface, points pretreatment, reconstruction surface model, and the digital model export.
分析了自由曲面三坐标投影法数控加工的步长误差和行距误差。
The step error and line error of free-form surface of projecting NC machining were analyzed.
提出了在曲壳有限元法中用坐标转换法处理曲面交线处结点位移的连续性问题。
The coordinate transformation method to handle displacement continuation problem on the intersection line of curved surfaces in the curved shell finite element method is presented.
给出了数据分块系统性方案，即从仅含有三维坐标的散乱的点云中自动提取几何曲面特性。
A systematic scheme is proposed to automatically extract geometric surface features from a point cloud composed of a set of unorganized three-dimensional coordinate points by data segmentation.
精确测量空间自由曲面的传统方法是采用三坐标测量机的接触测量或简单的非接触测量，这些测量方法存在工作效率低、自动化程度低等缺点。
Traditionally, contact measurement or simple non contact measurement based on coordinate measuring machine are used for the measurement of free form surface with high accuracy.
利用坐标平移、旋转变换，导出旋转曲面面积求法的一般公式。
By making use of transformation of coordinate translation, coordinate rotation, we deduced general formula about area of rotational surface.
但是，当我们从物理的角度审视这一问题时，就会发现可以把这个曲面嵌入一个三维空间中，粒子的运动可以在笛卡儿坐标下分解为三个互相正交的方向。
However, when examining the same problem in the physical point of view, the motion of the particle can also be described in the three-dimensional coordinates.
给出旋转曲面生成过程的动画程序，并导出了任一曲线绕任意轴旋转的坐标间几何变换公式。
The animation programs of the making revolution surface is compiled, and a general coordinate formula of geometric transformation is deduced about an arbitrary revolution curve around a rotation axis.
讨论了在五坐标数控机床上加工曲面时刀具走刀步长和切削带步长与加工误差的关系并推导了计算公式。
The relation of the step length of cutting tool with mechanical error when machining curved face in the 5 coordination NC machine, and the calculating formulas are deduced.
对五坐标曲面加工中由离散线性运动逼近理想刀具轨迹所引起的理论加工误差进行了较严格的分析。
The theoretical error in five axis NC machining, which is resulted from approximating the perfect continuous tool path with discrete linear segments, is strictly analyzed.
测量三维曲面轮廓的传统方法是采用表面轮廓仪式或三坐标机。
Traditionally, the surface contour test instrument or three-coordinate measuring machine is used in 3-d curved surface measuring system.
根据测量曲面的目的把三坐标测量机测量曲面的模式分为两种，即检测模式和重构模式。
Complex surface measurement was divided into two modes such as checkout mode and reconstruction mode according to measurement intention.
根据测量曲面的目的把三坐标测量机测量曲面的模式分为两种，即检测模式和重构模式。
Complex surface measurement was divided into two modes such as checkout mode and reconstruction mode according to measurement intention.
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