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I was trying to create "consulting" waterfall chart in matlab, and I am having a really difficult time in creating it. I was expecting actually that there would be a built in way of doing that.
Given this data:
x = [5, 2, -5, 8, 2, 12];
total = [1, 0, 0 ,0 ,0, 1];
I want to make a waterfall chart.
Basically, the vector x has the values for the chart and the vector total indicates whether the corresponding column is a total column or not.
So the first column, is a 5 and is a total column. The second column is a two and it is not (so it adds up). The third column is minus five so it subtracts, and so on and so forth until the last column which is a total again. Below how the figure would look like.
1) How to get this figure?
2) How to color increases, decreases and totals with different colors?
3) How to include the connecting lines?
Method 1
Here's one possible solution using MATLAB's bar function.
Assumptions:
The total columns are always the first and last columns.
The basic idea is to use the 'Baseline' property of a Bar object, which allows a particular bar to start from a specific value. For example, bar([1,3,5], 'BaseValue', 2) produces 3 bars that start from the value 2: the first going down by 1 unit, the second going up by 1 unit, and the last going up by 3 units.
From testing on R2019b, unfortunately it appears that all Bar objects on an Axes must share the same BaseValue. Thus, for each Bar object to have its own Baseline value, each of them must be on a separate Axes object. We can workaround this by overlaying a bunch of Axes (one for each Bar) on top of each other, making all but one of them transparent. This way all bars will be visible.
Anyways, here's the function. The inputs are
ax (optional): a handle to an existing Axes object. You may want to do this if you have other things plotted already, or if you want to manually set various properties of an Axes.
y: a vector of all the incremental values. Note: the final value is NOT required, i.e. to reproduce the plot in the question, use y=[5, 2, -5, 8, 2];
The function outputs the handles to each Bar object created. You may want this to further change the EdgeColor of the Bars.
function h = wfall(ax, y)
if nargin == 1
y = ax;
ax = gca;
end
if ~strcmp(ax.NextPlot, 'add')
fprintf('hold on not set for current axes. Overriding.\n');
hold(ax, 'on');
end
y = y(:); % column vector
n = length(y);
cumy = cumsum(y);
set(ax, 'XLim', [0, n+1]+0.5, 'YLim', [min(min(cumy), 0), max(max(cumy), 0)]);
% colors:
% decrease - red - code as -1
% total - black - code as 0
% increase - blue - code as 1
set(ax, 'CLim', [-1, 1], 'ColorMap', [1 0 0; 0 0 0; 0 0 1]);
% copy a bunch of axes
for i = 1:n
ax(i+1) = copyobj(ax(1), ax(1).Parent);
end
% Make all subsequent axes invisible
% Make sure all axes will always be the same size by linking properties
set(ax(2:end), 'Color', 'none', 'XColor', 'none', 'YColor', 'none');
linkprop(ax, {'XLim', 'YLim', 'Position', 'DataAspectRatio'});
% define from/to of each bar (except 1st and last)
from = cumy(1:n-1);
to = cumy(2:n);
% color of each bar (except 1st and last)
c = double(y>0) - double(y<0);
c(1) = [];
% first total bar
h = bar(ax(1), 1, from(1), 'CData', 0, 'BaseValue', 0);
% 2nd to 2nd last bars
for i = 1:n-1
h(end+1) = bar(ax(i+1), i+1, to(i), 'CData', c(i), 'BaseValue', from(i), 'ShowBaseLine', 'off');
end
% last total bar
h(end+1) = bar(ax(1), n+1, cumy(n), 'CData', 0);
% setting FaceColor flat makes the Bars use the CData property
set(h, 'FaceColor', 'flat')
Run the code as follows to produce the following plot.
close all;
ax = gca;
h = wfall(ax, y(1:end-1));
Method 2
Here's another solution if you prefer not to stack Axes objects on top of each other.
In this case, we make an additional assumption:
The cumulative value is never negative (this would apply, for example, the cash in my pocket)
Simply, each bar we draw can be considered as one colored bar (either blue/red) that is partially covered by a shorter white bar.
function h = wfall2(ax, y)
if nargin == 1
y = ax;
ax = gca;
end
if ~strcmp(ax.NextPlot, 'add')
fprintf('hold on not set for current axes. Overriding.\n');
hold(ax, 'on');
end
y = y(:); % column vector
n = length(y);
cumy = cumsum(y);
from = cumy(1:n-1);
to = cumy(2:n);
% color values:
% 1 - blue (increase)
% 0 - white
% -1 - red (decrease)
c = double(y>0) - double(y<0);
c(1) = [];
upper = max(cumy(1:n-1), cumy(2:n));
lower = min(cumy(1:n-1), cumy(2:n));
h(1) = bar(ax, 2:n, upper, 'FaceColor', 'flat', 'CData', c);
h(2) = bar(ax, 2:n, lower, 'FaceColor', 'w');
h(3) = bar(ax, 1, cumy(1), 'FaceColor', 'k');
h(4) = bar(ax, n+1, cumy(n), 'FaceColor', 'k');
set(h, 'EdgeColor', 'none')
set(ax, 'CLim', [-1, 1], 'ColorMap', [1 0 0; 0 0 0; 0 0 1]);
Run the function as follows:
close all;
ax = gca;
h = wfall2(ax, y(1:end-1));
The resulting plot:
The result, however, is a bit ugly by my personal standards, since the white bar will partially cover the x-axis. You can fix this, however, by setting the lower YLim to a negative value, i.e. set(ax, 'YLim', [-0.5 inf])
I need to plot a figure with 3 x-axes. Each axis is linked to the other by a mathematical formula. I want to do this because the x value can be seen as wavelength [nm], velocity [m/s] or energy [eV] and I want the reader to not have to convert it themselves on each graph.
I searched online and only found something for 2 x-axes, but no more.
Edit: I am using version R2011a.
So it should look like this, which I (obviously) didn't create in MATLAB:
Thanks in advance!
As shown in this answer, you can create a new axes object with near-zero height, so that it is essentially just the x-axis. Be aware that all actual plots must be done on the first axes as this is the area you can see!
Demo code:
% Create some plotting data and plot
x = 0:0.1:2*pi; y = sin(x);
% Plot, can specify line attributes (like LineWidth) either
% - inline: plot(x,y,'linewidth',2)
% - after: p1 = plot(x,y); p1.LineWidth = 2;
plot(x,y);
% Get current axes object (just plotted on) and its position
ax1 = gca;
axPos = ax1.Position;
% Change the position of ax1 to make room for extra axes
% format is [left bottom width height], so moving up and making shorter here...
ax1.Position = axPos + [0 0.3 0 -0.3];
% Exactly the same as for plots (above), axes LineWidth can be changed inline or after
ax1.LineWidth = 2;
% Add two more axes objects, with small multiplier for height, and offset for bottom
ax2 = axes('position', (axPos .* [1 1 1 1e-3]) + [0 0.15 0 0], 'color', 'none', 'linewidth', 2);
ax3 = axes('position', (axPos .* [1 1 1 1e-3]) + [0 0.00 0 0], 'color', 'none', 'linewidth', 2);
% You can change the limits of the new axes using XLim
ax2.XLim = [0 10];
ax3.XLim = [100 157];
% You can label the axes using XLabel.String
ax1.XLabel.String = 'Lambda [nm]';
ax2.XLabel.String = 'Velocity [m/s]';
ax3.XLabel.String = 'Energy [eV]';
Output:
Edit:
Before the 2014b graphics changes you will need to make a couple of tweaks for getting and setting axes properties. The equivalent code would more heavily use the set command, and look something like this:
x = 0:0.1:2*pi; y = sin(x);
plot(x,y);
ax1 = findobj(gca, 'type', 'axes')
axPos = get(ax1, 'Position');
set(ax1, 'Position', axPos + [0 0.3 0 -0.3]);
set(ax1, 'LineWidth', 2);
ax2 = axes('position', (axPos .* [1 1 1 1e-3]) + [0 0.15 0 0], 'color', 'none', 'linewidth', 2);
ax3 = axes('position', (axPos .* [1 1 1 1e-3]) + [0 0.00 0 0], 'color', 'none', 'linewidth', 2);
set(ax2, 'xlim', [0 10]);
set(ax3, 'xlim', [100 157]);
axes(ax1); xlabel('Lambda [nm]');
axes(ax2); xlabel('Velocity [m/s]');
axes(ax3); xlabel('Energy [eV]');
Here's an example of how you can do this:
msx = [1 50 60 90];
msy = [0 1 3 8];
lx = 90/4*[1 2 3 4]; % Scale the data with respect to the data that will use the "primary" X-axis
ly = [0 2 8 10];
evx = 90/19*[1 7 10 19]; % Scale the data with respect to the data that will use the "primary" X-axis
evy = [0 8 16 20];
figure
a=axes('units','normalized','position',[.1 .35 .7 .6],'xlim',[0 100],'xtick',0:10:100);
plot(lx, ly)
hold on
plot(msx, msy)
hold on
plot(evx, evy)
xlabel(a,'velocity m/s')
b=axes('units','normalized','position',[.1 .21 .7 0.000001],'xlim',[0 4],'color','none', 'xtick',0:1:10);
xlabel(b,'lambda nm');
c=axes('units','normalized','position',[.1 .10 .7 0.000001],'xlim',[0 19],'color','none', 'xtick',0:1:19);
xlabel(c,'energy eV');
For the position: specified as a four-element vector of the form [left bottom width height]. The default value of [0 0 1 1] includes the whole interior of the container. (see https://de.mathworks.com/help/matlab/ref/axes-properties.html)
Output figure:
I'm trying to create a figure in matlab that looks like this:
desired figure
I am doing so by: (i) assigning value points to each x,y coordinate, (ii) plotting a surf, and (iii) change the view point so the third axis is not seen. Here is the code:
x = linspace(0, 1, 10);
y = linspace(0, 1, 10);
z = linspace(0, 1, 10);
z = repmat(z, 10, 1);
z = flipud(triu(z));
z(z==0) = nan;
hold off
surf(x, y, z, 'linestyle', 'none')
colormap([linspace(0.39, 1, 20)',linspace(0.58, 0.25, 20)', linspace(0.93, 0.25, 20)']);
colorbar
xlim([x(1) x(end)])
shading interp
view([90 -90])
hold on
plot(x, 1-y, 'linewidth', 2)
I get the following figure: matlab figure I get
As you can see, there a lot of white spaces above the line which I would like to be in color as well. Unfortunately, I cannot add any more grid points as calculating the actual value of the points takes a lot of time (unlike the example above).
Is there a way to have matlab draw colors in those white spaces as well?
Thanks!
You can try to use patch function to create filled polygon.
See http://www.mathworks.com/help/matlab/ref/patch.html
Try the following code:
vert = [0 1;1 1;1 0]; % x and y vertex coordinates
fac = [1 2 3]; % vertices to connect to make triangle
fvc = [1 0 0; 1 1 1; 0 0 1];
patch('Faces',fac,'Vertices',vert,'FaceVertexCData',fvc,'FaceColor','interp');
Result is close:
I was managed to get closer to the desired figure:
close all
x = linspace(0, 1, 10);
y = linspace(0, 1, 10);
%colorbar
xlim([x(1) x(end)])
%Fill rectangle.
vert = [0 0; 1 0; 1 1; 0 1]; % x and y vertex coordinates
fac = [1 2 3 4]; % vertices to connect to make squares
%patch('Faces',fac,'Vertices',vert,'FaceColor','red')
fvc = [1 0 0; 0.6 0.7 1; 0.6 0.7 1; 1 0 0]; %Color of vertices (selected to be close to example image).
patch('Faces',fac,'Vertices',vert,'FaceVertexCData',fvc,'FaceColor','interp')
hold on
%Fill lower triangle with white color.
vert = [0 0;0 1;1 0]; % x and y vertex coordinates
fac = [1 2 3]; % vertices to connect to make triangle
fvc = [1 1 1; 1, 1, 1; 1, 1, 1]; %White color
patch('Faces',fac,'Vertices',vert,'FaceVertexCData',fvc,'FaceColor','interp');
plot(x, 1-y, 'linewidth', 2)
set(gca,'Xtick',[],'Ytick',[]); %Remove tick marks
Result:
Thank you Rotem! I wasn't aware of the patch function and indeed it solved the issue!
The colors on the actual figure I'm trying to achieve are not linear, so I just used patch for all the empty triangles. Here is the adjusted code I use for the simple example (again, this is just a bit more general just to be able to have non linear colors in the area above the curve):
x = linspace(0, 1, 10);
y = linspace(0, 1, 10);
z = linspace(0, 1, 10);
z = repmat(z, 10, 1)+0.1;
z = flipud(triu(z));
z(z==0) = nan;
z = z-0.1;
hold off
surf(x, y, z, 'linestyle', 'none')
colormap([linspace(0.39, 1, 20)',linspace(0.58, 0.25, 20)', linspace(0.93, 0.25, 20)']);
colorbar
xlim([x(1) x(end)])
shading interp
view([90 -90])
hold on
patch_cor_y = kron((length(y):-1:1)', ones(3, 1));
patch_cor_x = kron((1:length(x))', ones(3, 1));
patch_cor = [y(patch_cor_y(2:end-2))', x(patch_cor_x(3:end-1))'];
patch_path = reshape(1:length(patch_cor),3, length(patch_cor)/3)';
patch_col = z(sub2ind(size(z), patch_cor_x(3:end-1), patch_cor_y(2:end-2)));
patch('Faces',patch_path,'Vertices',patch_cor,'FaceVertexCData',patch_col,'FaceColor','interp', 'EdgeColor', 'none');
plot(x, 1-y, 'linewidth', 2)
The figure achieved: figure
I'm using the boxplot function in MATLAB. I need to plot boxplots for 6 different datasets for 6 'XTicks' i.e each tick in the x axis should contain 6 corresponding boxes, whiskers, median lines and set of outliers within it's domain. I tried manipulating the 'XTick' property by setting offsets for each variable, but it doesn't apply for boxplot() as it would for a normal plot(). I'm also not able to add legends.
A 3 variable equivalent of my problem would like the following:
Edit:
The following is the code snippet that needs to be modified
TreadmillData = randi([20,200],69,6);
Speeds = {'1.5mph' '2.5mph' '3.5mph' '4.5mph' '5.5mph' '6.5mph'};
DeviceColors = {'r' 'g' 'c' [0.5 0 0.5] 'b' [1 0.5 0]};
Pedometer1 = TreadmillData(1:7:end,:);
Pedometer2 = TreadmillData(2:7:end,:);
Pedometer3 = TreadmillData(3:7:end,:);
Pedometer4 = TreadmillData(4:7:end,:);
Pedometer5 = TreadmillData(5:7:end,:);
Pedometer6 = TreadmillData(6:7:end,:);
GroupedData = {Pedometer1 Pedometer2 Pedometer3 Pedometer4 Pedometer5 Pedometer6};
legendEntries = {'dev1' 'dev2' 'dev3' 'dev4' 'dev5' 'dev6'};
figure;
Xt = 20:20:120;
Xt_Offset = [-15,-10,-5,5,10,15];
for i=1:6
boxplot(GroupedData{i},'Color',DeviceColors{i});
set(gca,'XTick',Xt+Xt_Offset(i));
if i==3
set(gca,'XTickLabel',Speeds);
end
hold on;
end
xlabel('Speed');ylabel('Step Count'); grid on;
legend(legendEntries);
Any help would be appreciated!
I've made some modifications to your code. I've tested this in R2014b.
TreadmillData = randi([20,200],69,6);
Speeds = {'1.5mph' '2.5mph' '3.5mph' '4.5mph' '5.5mph' '6.5mph'};
DeviceColors = {'r' 'g' 'c' [0.5 0 0.5] 'b' [1 0.5 0]};
Pedometer1 = TreadmillData(1:7:end,:);
Pedometer2 = TreadmillData(2:7:end,:);
Pedometer3 = TreadmillData(3:7:end,:);
Pedometer4 = TreadmillData(4:7:end,:);
Pedometer5 = TreadmillData(5:7:end,:);
Pedometer6 = TreadmillData(6:7:end,:);
GroupedData = {Pedometer1 Pedometer2 Pedometer3 Pedometer4 Pedometer5 Pedometer6};
legendEntries = {'dev1' 'dev2' 'dev3' 'dev4' 'dev5' 'dev6'};
N = numel(GroupedData);
delta = linspace(-.3,.3,N); %// define offsets to distinguish plots
width = .2; %// small width to avoid overlap
cmap = hsv(N); %// colormap
legWidth = 1.8; %// make room for legend
figure;
hold on;
for ii=1:N %// better not to shadow i (imaginary unit)
%if ii~=ceil(N/2)
% labels = repmat({''},1,N); %// empty labels
%else
labels = Speeds; %// center plot: use real labels
%end
boxplot(GroupedData{ii},'Color', DeviceColors{ii}, 'boxstyle','filled', ...
'position',(1:numel(labels))+delta(ii), 'widths',width, 'labels',labels)
%// plot filled boxes with specified positions, widths, labels
plot(NaN,1,'color',DeviceColors{ii}); %// dummy plot for legend
end
xlabel('Speed'); ylabel('Step Count'); grid on;
xlim([1+2*delta(1) numel(labels)+legWidth+2*delta(N)]) %// adjust x limits, with room for legend
legend(legendEntries);
Here is a solution for plotting several boxplot. You have to group all the data in a single matrix, each group being separated by a column of Nan. After that, you can simply plot a single regular boxplot with ad-hoc options such as colors and labels.
The following example uses 2 groups of 3, so 7 columns. The 4 first lines of data:
0.6993 0.0207 -0.7485 NaN 0.5836 -0.1763 -1.8468
-0.0494 -1.5411 0.8022 NaN 2.7124 -0.0636 -2.3639
0.9134 0.7106 -0.1375 NaN -0.2200 -0.2528 -0.8350
-0.5655 1.3820 0.6038 NaN -0.7563 -0.9779 0.3789
And the code:
figure('Color', 'w');
c = colormap(lines(3));
A = randn(60,7); % some data
A(:,4) = NaN; % this is the trick for boxplot
C = [c; ones(1,3); c]; % this is the trick for coloring the boxes
% regular plot
boxplot(A, 'colors', C, 'plotstyle', 'compact', ...
'labels', {'','ASIA','','','','USA',''}); % label only two categories
hold on;
for ii = 1:3
plot(NaN,1,'color', c(ii,:), 'LineWidth', 4);
end
title('BOXPLOT');
ylabel('MPG');
xlabel('ORIGIN');
legend({'SUV', 'SEDAN', 'SPORT'});
set(gca, 'XLim', [0 8], 'YLim', [-5 5]);
Hi I would like to plot transparent cube-shaped grid with lines in it. Something like this:
However, I managed only to draw a 2D grid:
[X,Y] = meshgrid(-8:.5:8);
Z = X+1;
surf(X,Y,Z)
I use Matlab R2009b.
If it is impossible to plot this in matlab could you recommend me a software I could use.
Consider this vectorized solution. It has the advantage that it creates a single graphic object:
%# these don't all have to be the same
x = -8:2:8; y = -8:2:8; z = -8:2:8;
[X1 Y1 Z1] = meshgrid(x([1 end]),y,z);
X1 = permute(X1,[2 1 3]); Y1 = permute(Y1,[2 1 3]); Z1 = permute(Z1,[2 1 3]);
X1(end+1,:,:) = NaN; Y1(end+1,:,:) = NaN; Z1(end+1,:,:) = NaN;
[X2 Y2 Z2] = meshgrid(x,y([1 end]),z);
X2(end+1,:,:) = NaN; Y2(end+1,:,:) = NaN; Z2(end+1,:,:) = NaN;
[X3 Y3 Z3] = meshgrid(x,y,z([1 end]));
X3 = permute(X3,[3 1 2]); Y3 = permute(Y3,[3 1 2]); Z3 = permute(Z3,[3 1 2]);
X3(end+1,:,:) = NaN; Y3(end+1,:,:) = NaN; Z3(end+1,:,:) = NaN;
%#figure('Renderer','opengl')
h = line([X1(:);X2(:);X3(:)], [Y1(:);Y2(:);Y3(:)], [Z1(:);Z2(:);Z3(:)]);
set(h, 'Color',[0.5 0.5 1], 'LineWidth',1, 'LineStyle','-')
%#set(gca, 'Box','on', 'LineWidth',2, 'XTick',x, 'YTick',y, 'ZTick',z, ...
%# 'XLim',[x(1) x(end)], 'YLim',[y(1) y(end)], 'ZLim',[z(1) z(end)])
%#xlabel x, ylabel y, zlabel z
axis off
view(3), axis vis3d
camproj perspective, rotate3d on
If you don't mind a few for loops, something like this will work:
clf
figure(1)
for g = 0:.2:2
for i = 0:.2:2
plot3([g g], [0 2], [i, i])
hold on
end
end
for g = 0:.2:2
for i = 0:.2:2
plot3([0 2], [g g], [i, i])
hold on
end
end
for g = 0:.2:2
for i = 0:.2:2
plot3([i i], [g g], [0 2])
hold on
end
end
You will just need to make the grid transparent by probably changing line properties, I don't think you can change alpha values to accomplish this. Hope that is helpful.
A more vectorized version of Stephen's answer might be the following:
i = 0:0.2:2;
[X Y] = meshgrid(i,i);
x = [X(:) X(:)]';
y = [Y(:) Y(:)]';
z = [repmat(i(1),1,length(x)); repmat(i(end),1,length(x))];
col = 'b';
hold on;
plot3(x,y,z,col);
plot3(y,z,x,col);
plot3(z,x,y,col);
Unfortunately, MATLAB does not currently support transparent lines (to my knowledge). If you really need them to be transparent I'd suggest using 'patch'.
I understand this is a late reply but it is still valid in case anyone else is looking at doing the same thing.
Assuming you are plotting cubes (/their edges), an alternative to the answers already provided is to use the 'plotcube' code from Oliver:
plotcube
The advantage of this solution is that you can:
Change the transparency of the faces (FaceAlpha), and/or,
Change the transparency of the edges (EdgeAlpha), and/or,
Change the colour of the lines (EdgeColor).
All of these can be constants, or variables.
(e.g. fixed edge colour, or a colour that changes with Z-value etc.)
To add in functionality of 2. and 3. (above) change the 'cellfun(#patch...' section in Olivers code, adding in the four extra lines of code as follows: (replace the whole cellfun section with this; including the new 'EdgeAlpha' and 'EdgeColor' lines):
cellfun(#patch,XYZ{1},XYZ{2},XYZ{3},...
repmat({clr},6,1),...
repmat({'FaceAlpha'},6,1),...
repmat({alpha},6,1),...
repmat({'EdgeAlpha'},6,1),...
repmat({0.2},6,1),... % Set this value to whatever you want; even a variable / matrix
repmat({'EdgeColor'},6,1),...
repmat({'black'},6,1)...
);
For more info on 'patch' please see patch documentation.
An important note:
- for large models (many cubes) this is very slow to run.
e.g. running this 'plotcube' function in a 'for' loop in MATLAB over thousands of blocks. I believe this is from calling the 'patch' function multiple times.
A better solution would be to vectorise; to put all your points (vertices/faces/whatever) together in a single matrix first and then call the #patch function only once (no 'for' loop). This would require changing the code somehow to update all the XYZ data.
I hope that helps someone.
Here is the 'plotcube' code in case the link to the original code by Oliver breaks someday:
function plotcube(varargin)
% PLOTCUBE - Display a 3D-cube in the current axes
%
% PLOTCUBE(EDGES,ORIGIN,ALPHA,COLOR) displays a 3D-cube in the current axes
% with the following properties:
% * EDGES : 3-elements vector that defines the length of cube edges
% * ORIGIN: 3-elements vector that defines the start point of the cube
% * ALPHA : scalar that defines the transparency of the cube faces (from 0
% to 1)
% * COLOR : 3-elements vector that defines the faces color of the cube
%
% Example:
% >> plotcube([5 5 5],[ 2 2 2],.8,[1 0 0]);
% >> plotcube([5 5 5],[10 10 10],.8,[0 1 0]);
% >> plotcube([5 5 5],[20 20 20],.8,[0 0 1]);
% Default input arguments
inArgs = { ...
[10 56 100] , ... % Default edge sizes (x,y and z)
[10 10 10] , ... % Default coordinates of the origin point of the cube
.7 , ... % Default alpha value for the cube's faces
[1 0 0] ... % Default Color for the cube
};
% Replace default input arguments by input values
inArgs(1:nargin) = varargin;
% Create all variables
[edges,origin,alpha,clr] = deal(inArgs{:});
XYZ = { ...
[0 0 0 0] [0 0 1 1] [0 1 1 0] ; ...
[1 1 1 1] [0 0 1 1] [0 1 1 0] ; ...
[0 1 1 0] [0 0 0 0] [0 0 1 1] ; ...
[0 1 1 0] [1 1 1 1] [0 0 1 1] ; ...
[0 1 1 0] [0 0 1 1] [0 0 0 0] ; ...
[0 1 1 0] [0 0 1 1] [1 1 1 1] ...
};
XYZ = mat2cell(...
cellfun( #(x,y,z) x*y+z , ...
XYZ , ...
repmat(mat2cell(edges,1,[1 1 1]),6,1) , ...
repmat(mat2cell(origin,1,[1 1 1]),6,1) , ...
'UniformOutput',false), ...
6,[1 1 1]);
cellfun(#patch,XYZ{1},XYZ{2},XYZ{3},...
repmat({clr},6,1),...
repmat({'FaceAlpha'},6,1),...
repmat({alpha},6,1)...
);
view(3);
you can make the inside line kind of transparent by setting color = [0.65, 0.65, 0.65]. And you can use dash line style for interior lines and solid lines for boundary to make it more like a 3-D object.
In my software package, I code a mesh3 function to plot the 3-D tensor product meshes.
clear all
close all
clc
Nx=11;
Ny=11;
Nz=11;
clf
hold on
[i,j]=meshgrid(1:Nx,1:Ny);
k=zeros(Ny,Nx)+Nz;
surf(i,j,k)
[i,k]=meshgrid(1:Nx,1:Nz);
j=zeros(Nz,Nx)+Ny;
surf(i,j,k)
[j,k]=meshgrid(1:Ny,1:Nz);
i=zeros(Nz,Ny)+Nx;
surf(i,j,k)
[i,j]=meshgrid(1:Nx,1:Ny);
k=zeros(Ny,Nx)+1;
surf(i,j,k)
[i,k]=meshgrid(1:Nx,1:Nz);
j=zeros(Nz,Nx)+1;
surf(i,j,k)
[j,k]=meshgrid(1:Ny,1:Nz);
i=zeros(Nz,Ny)+1;
surf(i,j,k)
view(30,30)