2D插值 [英] 2D interpolation
问题描述
我已经开发了一个让我加载图像，然后进行一些角测量到它的小程序。下面是截图（有没有在这个截图加载的图像）。
I've developed a little program that let me load an image then make some angle measurements onto it. Here is a screenshot (there is no image loaded in this screenshot).
当所有的测量完成我有x，y和角度值的列表。我想要做的是插值他们产生某种图形。 我想preFER直接实现这个功能，而不是依赖于任何其他库（只要有可能，而不是复杂的）。
When all the measurements are done I have a list of x, y and angle values. What I'd like to do is interpolate them to generate some kind of graph. I would prefer to directly implement this functionality and not rely on any other library (as long as it's possible and not to complicated).
所以基本上我看到两个步骤，首先插入数据，第二，从它生成的图表。
So basically I see two steps, first interpolating the data, second, generating a graph from it.
起初我要实现一些双三次插值但这种插值需要进行一次定期的网格，我不能保证。
At first I was going to implement some bicubic interpolation but this kind of interpolation needs a regular grid, which I can't ensure.
有关的那一刻，我想我必须主要选项：
For the moment I think I have to main options:
- 将我的数据有规律的网格，然后做一个双三次插值。
- 找到一个其他种类的内插，不需要常规的网格。
您觉得有什么办法做我应该去和你有什么想法这网重新定义/插值我应该使用？我没有在这两种方法中的任何意见，但我认为这是要带我大量的时间，我不希望实现我在一个死胡同的尽头。
What way do you think I should go and do you have any idea of which grid-redefining/interpolation I should use? I don't have any opinion on both methods but I think this is going to take me a lot of time and I wouldn't like to realize in the end that I am in a dead-end.
如果这是任何意义我正在使用Qt和Windows的。
If this is of any relevance I'm working with Qt and on windows.
编辑：基本上，我想这样的事情到底：
Basically I want something like that in the end:
推荐答案
您正在寻找的是一个二维最小二乘法拟合函数，并产生热图或三维表面。
What you are looking for is a 2D Least squares fitting function, and generating a heat map or a 3D surface.
QWT是好的库，可以帮助绘制图形，但它是可行的，没有它。
QWT is nice library that can help with graphing it, but it is doable without it.
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