从样条解的给定点数组中找到 3 维 B 样条控制点? [英] Finding 3 dimentional B-spline controll points from given array of points from spline solution?

问题描述

Wa 正在谈论 非均匀有理 B 样条.我们有一些简单的 3 维数组，如

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}

哪些是由一些 B 样条创建的平面上的点

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

如何找到创建该平面的样条控制点?(我知道这是一项艰巨的任务，因为需要计算权重，但我真的希望它可以解决)

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)

对于不知道问题的人 - 抱歉，我的文章是 wwbad - 我们有积分这是这里渲染的平面的一部分，我们需要找到形成样条曲线的控制点，解决方案是渲染的平面.

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

可以使用多种插值技术，全局 NURB 曲面插值或双三次分段曲面插值是合理的.

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

Les A. Piegl 的The NURBS book"涵盖了其中的一些

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

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