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MATLAB - 离散3D干线图?

[英]MATLAB - discrete 3D stem plot?

I am trying to plot a discrete 3D stem plot where x and y are integers, and z is a probability. 我试图绘制一个离散的 3D茎图,其中xy是整数, z是概率。 Each pair of x and y corresponds to a z value. xy对应于z值。

For the ease of demonstration, let's say they have the following correspondences. 为了便于演示,我们假设它们具有以下对应关系。

x = [1 2 3 4 5];
y = [1 2 3 4 5];
z = [0.1 0.1 0.1 0.1 ... 0.1]; % totally 25 terms
% 1st z value corresponds to the pair (1st_x_val, 1st_y_val) 

How may I do it in MATLAB? 我怎么能在MATLAB中做到这一点?

Code

x = [1 2 3 4 5];
y = [1 2 3 4 5];
z = repmat(0.25,[1 25]);
z = reshape(z,[5 5]);

[x,y] = meshgrid(x,y);
stem3(x,y,z)

Basically with meshgrid you are making linear combinations between all x's and all y's, thus making 25 combinations for which you have 25 z's. 基本上使用meshgrid你在所有x和所有y之间进行线性组合,从而产生25个组合,你有25个z。

在此输入图像描述

Edit -1 : Explanation on how to map a linear z over a 2D XY grid 编辑-1:有关如何在2D XY网格上映射线性z说明

Test Code 测试代码

x =  1:3;
y = 1:5;
z = 1:15;
z = reshape(z,[numel(y) numel(x)]);

[x,y] = meshgrid(x,y);
stem3(x,y,z)
xlabel('X -AXIS')
ylabel('Y -AXIS')

Output 产量

在此输入图像描述

As one can see how indexing works here - For the first five values, X stays the same as y varies from 1 to 5 and so on for next 5 values. 正如我们可以看到索引在这里如何工作 - 对于前五个值, X保持不变, y从1变为5,依此类推接下来的5个值。 Thus, if one wants to map a linear z over a 2D XY grid, the reshaping would have the first element as number of element in y and second would be corresponding number for x . 因此,如果想要在2D XY网格上映射线性z ,则重新整形将具有第一元素作为y的元素数量,并且第二元素将是x对应数字。

What's wrong with this? 这有什么问题?

x = [1 2 3 4 5];
y = [1 2 3 4 5];
[X,Y]=meshgrid(x,y);
Z=0.1*ones(size(X));
stem3(X,Y,Z)

I don't understand how the distinction between continuous/discrete is meaningful here though? 我不明白连续/离散之间的区别在这里有何意义?

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