从点与样条曲线的解决方案给阵列发现3三维B样条曲线控制研究点？ [英] Finding 3 dimentional B-spline controll points from given array of points from spline solution?

问题描述

娃都在谈论非均匀有理B样条。我们有一些简单的3维数组像

Wa are talking about Non-uniform rational B-spline. We have some simple 3 dimentional array like

{1,1,1}
{1,2,3}
{1,3,3}
{2,4,5}
{2,5,6}
{4,4,4}

这是个由一些B样条创建一个平面

Which are points from a plane created by some B-spline

如何找到花键的控制研究点创建的飞机？ （我知道，因为这需要计算权重的一项艰巨的任务，但我真的希望它是可解）

How to find controll points of spline that created that plane? (I know its a hard task because of weights that need to be calculated but I really hope it is solvable)

对于thouse没有得到谁的问题的想法 - 索里我书面方式是wwbad - 我们点是飞机在这里呈现的一部分，我们需要找到一个成一个样条哪种解决方案是，提供的平面控制研究点。

For thouse who did not got idea of question - sory my writting is wwbad - we have points that are part of plane rendered here and we need to find controll points that form a spline which solution is that rendered plane.

推荐答案

有几个内插技术可用于全球NURB表面​​内插，或双三次分段表面插值合理。

There are several interpolation techniques that could be used, Global NURB surface interpolation, or Bi-cubic piecewise surface interpolation are reasonable.

的NURBS书由Les A. Piegl涵盖了许多人

"The NURBS book" by Les A. Piegl covers a number of them

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