首页> 外文会议>International Conference on Geometric Modeling and Processing(GMP 2006) >Piecewise Developable Surface Approximation of General NURBS Surfaces, with Global Error Bounds
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Piecewise Developable Surface Approximation of General NURBS Surfaces, with Global Error Bounds

机译:逐分开发的普​​通NURBS表面的表面近似,具有全局错误界限

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Developable surfaces possess qualities that are desirable in the manufacturing processes of CAD/CAM models. Specifically, models formed out of developable surfaces can be manufactured from planar sheets of material without distortion. This quality proves most useful when dealing with materials such as paper, leather or sheet metal, which cannot be easily stretched or deformed during production.In this work, we present a semi-automatic algorithm to form a piecewise developable surface approximation of a general NURBS surface. These developable surfaces are constructed as envelopes of the tangent planes along a set of curves on the input surface. Furthermore, the Hausdorff distance between the given surface and the approximating set of developables is globally bounded by a user-provided threshold.
机译:显影表面具有在CAD / CAM模型的制造过程中所需的品质。具体地,由可开发表面形成的模型可以由没有变形的平面材料制成。在处理如纸张,皮革或金属板等材料时,这种质量可获得最有用的是在生产过程中不易拉伸或变形。在这项工作中,我们提出了一种半自动算法,形成一般NURBS的分段显影表面近似表面。这些可显影表面构造为沿着输入表面上的一组曲线的切线平面的信封。此外,给定表面与近似开发物组之间的Hausdorff距离由用户提供的阈值全局限制。

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