散乱二维数据的线性插值 [英] Linear Interpolation of Scattered 2D Data

问题描述

所以我有一些不规则间隔的数据，我想插入到常规网格上。 （我想完全和这一个似乎也试图做关于我的情况，但他们的答案不太适用。

其他人有同样的问题，但没有解决方案。

注意：我正在使用JavaFX-2，所以如果我可以某种方式使用他们的 Interpolator 这个类很棒。

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编辑：
如果有人偶然发现并希望了解我最终使用的内容，那么这是BGU的Delaunay Triangulation实现：

主要网站

代码API

解决方案

如果线性插值已足够，我建议你使用带有Gouraud着色的3d网格进行绘图：

1. 将2d点云转换为网格（你可以谷歌搜索现有算法）


2. 将每个点的z值映射到顶点'颜色


3. 使用Gouraud着色来启用顶点颜色之间的线性插值


4. 在网格顶部创建一个相机并使用其他正常投影（以避免透视）

你说你可以使用JavaFX。 JavaFX支持3d场景，您可以构建自己的网格。但是看看TriangleMesh的JavaDoc，我找不到任何设置顶点颜色的方法，我发现只有一个方法来设置（x，y，z）和（u，v）（纹理坐标）坐标。

So I have some irregularly spaced data that I want to interpolate onto a regular grid. (I want to do exactly this but in Java) Here's a picture:

Basically I have the x and y coordinates of each point and a z value associated with each point and I want to interpolate between them and fill in the center of my image.

What is the best way to do this using Java? Is there a built in 2D interpolation library I can use or should I try a "roll my own" approach?

I want to do exactly what this answer specifies but in Java.

This post and this one also seem to be trying to do about what I am but their answers don't quite apply.

Someone else with the same problem but no solution.

Note: I am using JavaFX-2 so if I could somehow use their Interpolator class that'd be great.

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EDIT: If anyone stumbles upon this and wants to know what I ended up using, it was a Delaunay Triangulation implementation from BGU:
Main Site
Code API

解决方案

If linear interpolation is sufficient, I suggest you to use a 3d mesh with Gouraud Shading for drawing:

1. Convert the 2d point cloud to a mesh (you can google for existing algorithms)
2. Mapping the z value of each point to the vertex' color
3. Using Gouraud Shading to enable linear interpolation between the vertex colors
4. Creating a camera on top to the mesh and using a othonormal projection (to avoid perspective)

You say that you can use JavaFX. JavaFX supports 3d scenes and you can build your own meshes. But looking into the JavaDoc of TriangleMesh, I can't find any method to set the vertex color I found only a method to set the (x,y,z) and (u,v) (texture coordinates) coordinates.

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