这个就是散度公式了，告诉大家一些相似的东西，仅仅是对被闭合曲面包围的空间区域来讲的。
This one here, the divergence theorem, tells you something similar but now for a region of space bounded by a closed surface.
或者说，有一个不封闭的曲面,习惯上你会倾向于让通量向上通过这个区域。
Or, if you have a surface that is not like closed or anything but maybe you will want the flux going up through the region.
如果存在一些区域空间,边界为曲面,定义n为指向区域R外的法向量。
So if you have some region of space S and you call its boundary surface S and you let n be the normal vector that goes out of the region R.
自由曲面数字化测量中，由于传感器单元测量区域小，所以实现整体测量需要进行多次的图像拼接。
In the digital measurement for free-form surface, image mosaics are needed to achieve the whole measurement for the small measuring field of sensor unit.
本文针对大型物体自由曲面测量中，传感器单元测量区域小等问题，提出了一种基于粘性目标实现空间图像拼接的方法。
The small measuring field of sensor unit is the key problem in the free form surface measurement of large scale objects.
曲面交线、曲面内凹区域及曲面中浅平面的加工是曲面加工中的难点。
The line of intersection, inward concave and shallow area of curved surface are the difficult points in curved surface machining.
对反求工程中的点云数据处理，给出一种基于特征的区域分割法来划分点云，为后续曲面拟合提供有利条件。
For dealing with the cloud data in reverse engineering, one region-division method which based on character is presented to divide up cloud data, this provides advantage to the later surface fitting.
更为重要的是，存在一些自由参数来控制磨光区域的大小和调整磨光曲面的形状。
More importantly, there are some free parameters which can control the blending regions and adjust the shape of blending surface.
实验表明，该算法能很好地提取出孔洞内边界以及开区域外边界，为带孔洞点云数据的曲面重构奠定了基础。
The experiment results illustrate that the improved algorithm can extract the boundary of hole and open area, and it makes preparation for the surface reconstruction.
将连接部划分为5个计算区域，建立了连接部曲面模型并提供了计算公式。
By dividing the joint area into 5 parts, a curve face model and its formula for the joint area design are established.
他把60米长区域的墙和天花板变成了由数千盏闪烁的灯组成的曲面。
He transformed the wall and ceiling of the sixty-meter long area into a surface made up of thousands of blinking lights.
提出一种新的由点云数据生成三角网格曲面的区域增长算法。
A new region-growing algorithm is presented for triangular mesh surface reconstruction from point-cloud data.
高程异常一般呈多曲面分布，在局部区域内，建立多面函数模型进行GPS高程拟合，可以达到较高的精度。
In local area, we can arrive at preferable precision by GPS height fitting using polyhedral function model.
曲面交线、曲面内凹区域及曲面中浅平面的加工是曲面加工的难点。
Surface intersections, concaves and shallow planes of the curved surface are difficult to machine.
样条曲面的局部设计是完全根据反求工程CAD建模的实际需求而提出的一种局部区域曲面设计方案。
Local B-spline surface designing strategy, a surface coincided technology, is proposed entirely originated from practical requirements in reverse engineering CAD modeling.
走刀方向对数控加工的效率有重要影响，尤其对于多曲面拼接自由曲面不规则轮廓区域的数控加工。
Cutting direction is an important factor for the efficiency of nc machining, esp. for that of irregular contour of free surfaces which are composed of multi-surfaces.
针对STL曲面模型中关键区域的曲面表示精准化问题，提出了相关的精度区域精准化方法。
This paper proposed the area precision accurateness method for STL curved surface model, which studied the curved surface precision topic about the key area in the STL curved surface.
用梭形旋转曲面包围三维有界场源，将位场的地表观测值延拓到场源之外的空间区域。
The earths surface observation is extended to the region beyond the source with a methodof sphere surrounding three-dimensional finite source.
最后，采用了双向插值的方法，依据领口线的形状所构成的封闭区域，进行三维衣领空间曲面三角网格化的造型。
The thesis use the special method , according to the collar line form the obdurate area, trigonometry gridding the collar 3D interspace curve-side , complete the collar model's initial sculpt.
设计方案中对已有的数字高程模型进行加密内插，使用三角化方法来计算地表曲面面积，采用参考平面法实现区域通视分析。
Then triangulation is used for the calculation of a polygon's surface area, and viewshed analysis is carried out using the method of reference plane.
提出了一种满足最小区域法的曲面形状误差评定方法。
A method for calculating the surface form error with the requirements of the minimal zone is proposed.
为了减小抛光加工的表面粗糙度和提高效率，构建抛光工具路径并均匀覆盖于三维曲面上，曲面的定义域为任意二维凸区域。
Polishing tool paths were constructed to evenly cover a 3-d free-form surface defined within a 2-d convex domain to reduce surface roughness and improve efficiency.
文中利用了两种对非规则边界参数区域进行拟合的方法，对同向双螺杆挤出机四面体间隙进行了拟合，并建立了一种曲面拟合误差测量的新方法；
Two methods were applied to fit surfaces of the tetrahedral gap of an intermeshing co-rotating twin-screw extruder. The surfaces are irregular border's parameter domain.
该算法将边缘检测应用于区域生长规则中，充分发挥了边缘方法和区域生长方法两者的优点，实现了三维曲面边界的精确定位。
In this way, this proposed algorithm takes merits of the combination of edge detection and region growth to realize the accurate boundary location of 3d curved surface.
通过详细案例白勺分析制作，给出了非矩形区域曲面白勺构建方法。
By analyzing and designing specific cases, the paper provides reconstruction method of regional non-rectangular surface.
利用三维边界拟合坐标变换技术，可将具有任意曲面边界的三维物理区域变成长方体计算区域，在该区域中形成单位立方体差分网格。
By means of BFCT, a three-dimensional physical space with arbitrary configuration can be transformed into standard cube, forming the unit cubic grid.
利用三维边界拟合坐标变换技术，可将具有任意曲面边界的三维物理区域变成长方体计算区域，在该区域中形成单位立方体差分网格。
By means of BFCT, a three-dimensional physical space with arbitrary configuration can be transformed into standard cube, forming the unit cubic grid.
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