【讨论】翻译了一段online(g0,g1,g2,g3),不知对否？

gulfstream

G0  
If the endpoint of curve C1 meets the endpoint of curve C2 then we say the order of continuity of both curves is (in this point)   
如果曲线C1的端点与曲线C2 的端点相接，则这两条曲线在此点G0连续。
G0.  
If one edge of surface S1 meets an edge of the surface S2 then we say along this edge both surfaces are connected with the order of continuity G0.
如果曲面S1与曲面S2上的一条边 相接，则沿着这条边，曲面S1和S2以G0连续。
If the G0-continuity is missed then we have a so called G0-error. This error is an absolute error, a distance, and it is measured in mm or inches.  
如果G0连续丢失，将产生所谓的G0错误。此错误是一个绝对错误，一个距离值，可以测量。
G1  
The curve C1 and the curve C2 are connected with the order of ontinuity G0 in the point P. If both curves in the point P run into the same direction, this means the angle between the tangents of both curves is 0, then we say the order of continuity is G1.
曲线C1与C2 在点P以G0连续，如果两条曲线在点P运行趋势相同，即两曲线之切线的夹角为0，则此两条曲线以G1连续。
The surface S1 and the surface S2 are connected with the order of continuity G0 along the curve C. We take the normal of S1 in a point near the curve C and run with this normal over the border to S2. If the  
  
normal does not change its angle from one point of the border of S1 to the nearest point of S2 then we say the order of continuity is G1.  
曲面S1与S2沿着曲线C以G0连续。在S1上逼近曲线C处，取出一点之法线，将此法线扫到面S2上逼近C处，如果法线的方向不变，则此两面G1连续。
If the G1-continuity is missed then we have a so called G1-error. This error is an absolute error, an angle, and it is measured in deg of rad.  
如果G1连续丢失，将产生所谓的G1错误。这也是一个绝对错误，可以以角度值度量。
G2
The curve C1 and the curve C2 are connected with the order of continuity G1 in the point P. We look at the curvature vector of C1 in point P and the curvature vector of C2 in point P. If both vectors have the same direction and the same absolute value, then we say the order of continuity is G2.  
曲线C1与C2在点P以G1连续，比较C1和C2在点P处的曲率矢量，如果两矢量的方向和绝对值均
  
相等，则C1与C2在点P除G2连续。
The surface S1 and the surface S2 are connected with the order of continuity G1 along the curve C. If each curve on S1 which runs over the border to S2 can be continued with another curve on S2 and their order of continuity is G2 then we say both surfaces are connected with the order of continuity G2.  
曲面S1与S2沿着曲线C1保持G1连续，如果S1上每一条生长到与S2交界的曲线都与S2上一条曲
  
线保持G2连续，则曲面S1与S2G2连续。
If the G2-continuity is missed then we have a so called G2-error. This error is a relative error and it is calculated with the following formula. C1 may have the radius R and C2 may have the radius r at the common point, with r<R, then yields:     error= 2*(R-r)/(R+r)  
The maximum of this error is 2. Sometimes this error is measured in percent % then its maximum is 200%.  
如果G2连续丢失，即所谓G2错误。这是一个相对错误，以以下公式计算： error= 2*(R-r)/(R+r)  
R——C1在公共点P出半径，r——C2在P出半径，R>r。最大值为2，即200％。
G3
  The curve C1 and the curve C2 are connected with the order of continuity G2 in the point P. For the definition of the G3-continuity we look at the curvature hedgehog, as it can be created with the command  
Porcupine Curvature Analysis. We look at the envelope of the curvature hedgehog. If this envelope has at the desired point G1-continuity then we say the order of continuity between both curves is G3.  
曲线C1、C2在点P以G2连续。为说明G3的定义，请看Porcupine Curvature Analysis命令所生成的曲率刺猬图，请看曲率刺猬图的包络线，如果包络线在说要求的点以G1连续，则曲线间为G3连续。
If the G3-continuity between both curves is missed, the G1-continuity of the envelope is missed, then we have a so called G3-error between both curves. This error is an absolute error, an angle, and it is measured in deg of rad and it is the G1-error of the envelope. G3-continuity between surfaces is defined on the curves between both surfaces on the same way.  
如果曲线间的G3连续丢失，则其曲率刺猬图的包络线的G1连续也将丢失，即所谓G3错误。这是一个绝对错误，可以用角度或者弧度测量，同时，其曲率包络线也将产生G1错误。曲面之间的G3连续也是以同样的方式通过面上的曲线定义的。
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没办法，只有啃E文资料，不知对不对，请各位讨论，谢谢。
   
   
  

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