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arXiv 2009.02480cs.GRcs.CG
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具有精确边界控制的裁剪样条曲面

Trimmed Spline Surfaces with Accurate Boundary Control

Florian Martin, Ulrich Reif

摘要:

本文介绍了具有精确边界控制的裁剪NURBS曲面(简称ABC曲面),它解决了在标准CAD/CAM系统的功能范围内构造水密或光滑($G^1$和$G^2)$)多曲面的问题,并提供了相应的文件交换格式。我们的建设是基于适当的混合的基础表面,它描绘出预期的全球形状,和一系列的重新参数化的丝带,占主导地位的边界附近的形状。

英文摘要:

We introduce trimmed NURBS surfaces with accurate boundary control, briefly called ABC-surfaces, as a solution to the notorious problem of constructing watertight or smooth ($G^1$ and $G^2)$ multi-patch surfaces within the function range of standard CAD/CAM systems and the associated file exchange formats. Our construction is based on the appropriate blend of a base surface, which traces out the intended global shape, and a series of reparametrized ribbons, which dominate the shape near the boundary.

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