如何将B样条曲面的4边重建为4条B样条曲线？ [英] How to reconstruct a B-spline surface's 4 sides to 4 B-spline curves?

问题描述

如何将B样条曲面的4个边重建为4条B样条曲线？

How to reconstruct a B-spline surface's 4 sides to 4 B-spline curves?

ps：应该相似Autodesk Alias的重复曲线工具，您可以在其中选择曲面上的任何U / V并重建3度B样条曲线。我不知道背后的算法是什么。

ps: It should be similar to Autodesk Alias's Duplicate Curve Tool, where you can select any U/V on a surface and rebuild a degree 3 B-spline curve. I don't know what's the algorithm behind.

推荐答案

通过使用控制点的第一行/最后一行或最后一列以及相应的度和结向量，可以轻松地将B样条曲面的4条边界曲线构造为B样条曲线。例如，在v = 0.0时在u方向上的边界曲线是B样条曲线，它是使用u方向上的度数和结向量以及第一行控制点构造的。

The 4 boundary curves of a B-spline surface can be constructed easily as B-spline curves by using the first/last row or column of control points and corresponding degree and knot vectors. For example, the boundary curve in u direction at v=0.0 is a B-spline curve constructed using degree and knot vector in u direction and the first row of control points.

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