Mathematica ListcontourPlot3D [英] Mathematica ListcontourPlot3D

问题描述

我的数据格式为 { {x,y,z,f}...} 我正在使用 ListContourPlot3D 但我得到的只是一个空框每个方向的尺寸为 -1 到 1.这是我的代码:

I have data in the form { {x,y,z,f}...} I am using ListContourPlot3D but all I get is an empty box with dimensions -1 to 1 in each direction. Here is my code:

ListContourPlot3D[data5, PlotRange -> All, 
  AxesLabel -> {"[Beta]", "[Omega]", "Vo"}, Contours -> {1500}].

这些是我数据的前5分:(全集55分)

These are the first 5 points of my data:( the whole set has 55 points)

{{200, 20000 10^(1/3), 2000, 1226}, 
 {200, 20000 10^(1/3), 2600, 1422}, 
 {200, 20000 10^(1/3), 3200, 1581}, 
 {200, 20000 10^(1/3), 3800, 1761}, 
 {200, 20000 10^(1/3), 4400, 1872}}

Dimensions[data5] 返回 {55,4}如果我执行 IntegerPart[data5] 它会正确执行，因此它必须识别我的数据中的数字.

Dimensions[data5] returns {55,4} If I do IntegerPart[data5] it does it correctly so it must recognize the numbers in my data.

我很欣赏任何想法.谢谢.

I appreciate any ideas. Thank you.

推荐答案

问题是在低分辨率下使用 ListContourPlot3D 的 {x,y,z,f} 形式.几周前我也偶然发现了这个问题，这是该错误的一个最小示例:

The problem is using the {x,y,z,f} form of ListContourPlot3D at low resolution. I stumbled over this a few weeks ago as well, here is a minimal example of the bug:

xyzfdata[r_] := Flatten[#, 2] &@Table[{x, y, z, x^2 + y^2 + z^2 - 1}, 
  {x, -2, 2, r}, {y, -2, 2, r}, {z, -2, 2, r}];
(* Low resolution {x,y,z,f} fails *) 
ListContourPlot3D[xyzfdata[1], Contours -> {0}]

在我的情况下(我在网格上有我的数据)的解决方案是使用网格表单和 DataRange:

The solution in my case (I had my data on a grid) was to use the grid form and DataRange:

fdata[r_] := Table[x^2 + y^2 + z^2 - 1, 
  {z, -2, 2, r}, {y, -2, 2, r}, {x, -2, 2, r}];
(* Low resolution works ok for array data *)
ListContourPlot3D[fdata[1], Contours -> {0}, 
  DataRange -> 2 {{-1, 1}, {-1, 1}, {-1, 1}}]

我认为问题是对于 {x,y,z,f} 形式，实现使用插值的方式在低分辨率下失败.在第一个示例中提高分辨率，一切正常:

I think the issue is that for the {x,y,z,f} form, the implementation uses interpolation in a way that fails at low resolution. Upping the resolution in the first example, everything works:

(* Higher resolution {x,y,z,f} works *)
ListContourPlot3D[xyzfdata[.2], Contours -> {0}]

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