使用 MATLAB 可视化立方晶格等三维阵列

Question

我想用 MATLAB 可视化一个像立方晶格一样的三维数组。

我已阅读How to plot 3D grid (cube) in Matlab, and Simple cubic lattice using three-dimensional array

如果数组中的元素只有0和1，我知道如何用三维数组画一个简单的立方体格子，小立方体的大小是一样的。

但是，现在我有一个像这样的三维数组，

cube(:,:,1) =
 1     0     1
 0     1     1
 2    1     0
cube(:,:,2) =

 0     0     1
 1     5     1
 0     1     0

cube(:,:,3) =

 1     1     1
 0     1     1
 2    0     1

数组立方体除了0和1之外还有值。我想把数组形象化为立方体格子，其中cube(:,:,1)表示立方体格子的第一层，

 cube(:,:,2) denotes the second floor, and 
 cube(:,:,3) the third floor.

值0表示什么都没有，而值1表示一个蓝色的小立方体。

大于1的值表示球体，球体的直径根据值的不同而不同。期望的结果是这样的：

Visualization of a three-dimensional array, 1 denotes a small green cube，0 denotes nothing，Value greater than 1 denotes white sphere, the diameter of sphere varies according to the value.

为了更清楚地解释我的问题，展示一个二维数组的可视化

1 denotes a small black sphere，0 denotes nothing，Value greater than 1 denotes white sphere, the diameter of sphere varies according to the value.

想要的效果图

可以，当立方体的边长为 1

当设置边长为2时，drawCube([ix,iy,iz],2,Royal_Blue)。出现问题，立方体重叠，

Answer 1

让我告诉你我的尝试。它基于独立绘制每个立方体和圆圈。如果 A 很大，这会很慢。

结果：

代码应该是自解释的。

% Create some data. This piece of code just creates some matrix A with
% some 1s and 0s and inserts a 2 and a 3 to specific positions. Subsitute
% this with your own data matrix.
th=0.2;
A=double(rand(10,10,10)<th);
A(1,1,1)=2;
A(5,5,5)=3;

% A nice color. I just dont like the standard blue so I picked another one.
Royal_Blue=[65 105 225]/255; 

%%%%%%%%%%%%%%%%%%%%%%
%% Draw cubes

% Obtain all the linear indexes (search mathworks for help between  
% subscripts vs linear indices) of the locations where a cube is wanted 
% (A==1)

ind=find(A==1);

% Create a figure
fig=figure();
hold on

% Draw the cubes one by one

for ii=1:length(ind)

    % For each linear index get its subscript (that also 
    % will be x,y,z position)
    [ix,iy,iz]=ind2sub(size(A),ind(ii));

    % Use the drawcube function to draw a single cube in the
    % desired position with the desired size (1) and colour.
    drawCube([ix,iy,iz],1,Royal_Blue);
end

% Nice plotting code. This just makes the drawing nicer. 

camlight left
lighting gouraud
axis equal
axis off
view(-50,25)

%%%%%%%%%%%%%%%
%% Now draw the spheres

% This code is the same as the previous one but I just draw
% spheres instead of cubes.
ind=find(A>1);
% create an sphere
[X,Y,Z] = sphere;
for ii=1:length(ind)
    [ix,iy,iz]=ind2sub(size(A),ind(ii));
    % scale sphere
    Xs=X*A(ix,iy,iz)/2;
    Ys=Y*A(ix,iy,iz)/2;
    Zs=Z*A(ix,iy,iz)/2;
    surf(Xs+ix,Ys+iy,Zs+iz,'edgecolor','none','facecolor',[1 1 1]);

end

% Change the background colour to black
whitebg(fig,'k')
% MAke sure it stays black
set(gcf, 'InvertHardCopy', 'off');

函数drawCube如下：

function drawCube( origin, size,color)
% From
% http://www.mathworks.com/matlabcentral/newsreader/view_thread/235581

if nargin<3
    color='b';

end
x=([0 1 1 0 0 0;1 1 0 0 1 1;1 1 0 0 1 1;0 1 1 0 0 0]-0.5)*size+origin(1);
y=([0 0 1 1 0 0;0 1 1 0 0 0;0 1 1 0 1 1;0 0 1 1 1 1]-0.5)*size+origin(2);
z=([0 0 0 0 0 1;0 0 0 0 0 1;1 1 1 1 0 1;1 1 1 1 0 1]-0.5)*size+origin(3);
for i=1:6
    h=patch(x(:,i),y(:,i),z(:,i),color);

    set(h,'edgecolor','none')

end

end

使用 MATLAB 可视化立方晶格等三维阵列

Visualize a three-dimensional array like cubic lattice using MATLAB

arrays

matlab

visualization