在 matlab 中绘制 3d 速度场 [英] 3d velocity field plotting in matlab

问题描述

我需要在 3d 中绘制一个球体上的彩色速度场.我正在寻找与此类似的函数:

I need to plot a colored velocity field over a sphere in 3d. I'm looking for a function that looks similar to this:

f(X, Y, Z, V) 其中 X, Y, Z 代表 3d坐标(使用 meshgrid 形成的 3 维矩阵)和 V 是一个 3 维矩阵，用于确定每个坐标的速度值.结果应该是一个 3d 彩色图，根据 V 中每个坐标的值改变颜色.

f(X, Y, Z, V) Where X, Y, Z represent the 3d coordinates (3 dimensional matrices that are formed using meshgrid) and V is a 3 dimensional matrix that determines the velocity value for each coordinate. The result should be a 3d colored plot with a changing color according to the value in V for every coordinate.

我尝试使用 isosurface 但效果不佳，因为我需要轮廓，我只需要每个坐标中的特定值.我使用了 quiver3 并且效果很好，但我需要用颜色而不是箭头来映射绘图.

I tried to use isosurface but it didn't work well because I need contours, I just need the specific value I have in every coordinate. I used quiver3 and it works well but I need the plot to be mapped by colors rather than arrows.

我非常感谢任何想法和解决方案，因为我一直在阅读许多类似问题的大量评论(例如:如何在 MATLAB 中绘制 4D 轮廓线 (XYZ-V)?) 并且找不到任何解决方案.

I would really appreciate any ideas and solutions as I've been reading lots comments of many similar questions (like this one: How to plot 4D contour lines (XYZ-V) in MATLAB?) and couldn't find any solution.

提前致谢.

推荐答案

我同意 Chris 的回答.但是，提供一个关于如何scatter3:

I agree with Chris's answer. However, it might be worthwhile to provide a little example on how scatter3 is used:

第一:

x = rand(1,100);     % x-coordinates
y = rand(1,100);     % y-coordinates
z = rand(1,100);     % z-coordinates
i = rand(1,100)*200;

% specify the indexed color for each point
icolor = ceil((i/max(i))*256);  

figure;
scatter3(x,y,z,i,icolor,'filled');
% if you omit the 'filled' option, you'll just get circles

第一个示例将根据变量 i 为您提供颜色和大小.如果您希望散点的颜色取决于 i 的值但大小一致，请考虑第二种方法:

This first example will give you colors and size based on the variable i. If you want your scatter-points to be in a color dependent on the value of i but of uniform size, consider this second approach:

x = rand(1,100);     % x-coordinates
y = rand(1,100);     % y-coordinates
z = rand(1,100);     % z-coordinates
i = rand(1,100)*200;

% specify the indexed color for each point
icolor = ceil((i/max(i))*256);  

% after setting the color based on i, reset i to be uniform
i = ones(size(i)).*100;

figure;
scatter3(x,y,z,i,icolor,'filled');

在定义颜色后重置i，所有散点的大小相等.

Having reset i after defining the colors, all scatter-points are of equal size.

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