本文应用样条函数方法给出求解一般开曲面短程线的数值得的方法，进一步对计算机图形绘制进行了探讨。
The numerical solution of the shortest geodesic on open surface is given by spline function method, and computer drawing is discussed.
该算法利用短程线的特性，根据曲面的局部特征自适应地调整相邻刀位轨迹线之间的间距，实现了刀位轨迹在曲面上的等距分布。
Based on the characteristic of the geodesic, the distance between the corresponding points in adjacent cutter contact curves can be adjusted adaptively according to the local character of the surface.
短程线主动轮廓模型是近几年提出的一种有效的多目标轮廓提取算法。
Geodesic active contour model is an effective method for the contour detection of multiple objects on an image.
本文研究证明，正螺面上的短程线就是一根圆柱螺线，可根据正螺面的参数准确计算出其数值。
This paper proves that the geodesic on the positive spiral surface is a cylindrical spiral, which can be calculated with the parameters on the positive spiral surface.
但是短程线主动轮廓模型的能量函数及其解法存在很多局限性，如数值计算的不稳定性和控制点存在不收敛的可能性等等。
Nonetheless, the energy function of the GACM and its solving algorithm has many restrictions, such as instability of numerical computation, probability of divergence of control points.
提出了一个用短程线做外板纵缝的外板展开的方法，该方法能为船体建造的施工提供许多方便。
Finally a method of developing hull plates by using short distance lines as 1ongitudinal boundaries is presented, so that ship-building technique can take advantage of the benefits of this method.
提出了一个用短程线做外板纵缝的外板展开的方法，该方法能为船体建造的施工提供许多方便。
Finally a method of developing hull plates by using short distance lines as 1ongitudinal boundaries is presented, so that ship-building technique can take advantage of the benefits of this method.
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