论文标题

带有准确边界控制的修剪二线表面

Trimmed Spline Surfaces with Accurate Boundary Control

论文作者

Martin, Florian, Reif, Ulrich

论文摘要

我们介绍了具有准确边界控制的修剪型NURBS表面,简要称为ABC-Surfaces,以解决构建水密或光滑的臭名昭著的问题($ g^1 $和$ g^2)$多斑点表面在标准CAD/CAM系统功能范围内,以及相关文件交换格式。我们的构造基于基本表面的适当混合物,该基础表面可以追踪预期的全局形状,以及一系列重新训练的丝带,这些丝带占据了边界附近的形状。

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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