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Present the function values varies with three arguments with one figure [duplicate]

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0

This question already has an answer here:

• 
  How to plot a 3D plot in MATLAB?
  
  2 answers
  
  

I want to clarify the relationship between the function and its three arguments through one figure, such as y=f(a,b,c), where y varies with three arguments a,b,c.

But it seems impossible. Is there any good solution to this problem? Or other reasonable method to visualize the relationship well?

I wonder if I can draw a 3-D figure with three axises a,b,c, and use the color depth to represent the function value. Can this be realized?

matlab 3d data-visualization matlab-figure

share|improve this question

edited Mar 28 at 16:54

SecretAgentMan

1,58333 gold badges99 silver badges2525 bronze badges

asked Mar 28 at 15:50

LandLand

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marked as duplicate by gnovice matlab
Users with the  matlab badge can single-handedly close matlab questions as duplicates and reopen them as needed.

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Mar 28 at 16:28

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Are you asking how to plot a function of 3 variables? Like this?
  
  – gnovice
  Mar 28 at 16:15
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Welcome to StackOverflow. A minimal example, your example code, and a description of what you're wanting specifically will get you a lot more help. See how to ask
  
  – SecretAgentMan
  Mar 28 at 16:16
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Have you looked at these approaches complete with code? For example, using scatter3 with different marker types or colors would allow you to visualize 4–5 variables depending on your specific application.
  
  – SecretAgentMan
  Mar 28 at 16:16
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @SecretAgentMan Thanks. Indeed, these methods may not work, since what I need can be viewed as a 4-D figure.
  
  – Land
  Mar 28 at 16:23
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @gnovice. Thank you. Yes, it can be 4-D figure. It seems helpful. Thanks again!
  
  – Land
  Mar 28 at 16:25
  

  
  
  
  

 | 
show 3 more comments

0

This question already has an answer here:

• 
  How to plot a 3D plot in MATLAB?
  
  2 answers
  
  

I want to clarify the relationship between the function and its three arguments through one figure, such as y=f(a,b,c), where y varies with three arguments a,b,c.

But it seems impossible. Is there any good solution to this problem? Or other reasonable method to visualize the relationship well?

I wonder if I can draw a 3-D figure with three axises a,b,c, and use the color depth to represent the function value. Can this be realized?

matlab 3d data-visualization matlab-figure

share|improve this question

edited Mar 28 at 16:54

SecretAgentMan

1,58333 gold badges99 silver badges2525 bronze badges

asked Mar 28 at 15:50

LandLand

344 bronze badges

marked as duplicate by gnovice matlab
Users with the  matlab badge can single-handedly close matlab questions as duplicates and reopen them as needed.

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Mar 28 at 16:28

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Are you asking how to plot a function of 3 variables? Like this?
  
  – gnovice
  Mar 28 at 16:15
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Welcome to StackOverflow. A minimal example, your example code, and a description of what you're wanting specifically will get you a lot more help. See how to ask
  
  – SecretAgentMan
  Mar 28 at 16:16
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Have you looked at these approaches complete with code? For example, using scatter3 with different marker types or colors would allow you to visualize 4–5 variables depending on your specific application.
  
  – SecretAgentMan
  Mar 28 at 16:16
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @SecretAgentMan Thanks. Indeed, these methods may not work, since what I need can be viewed as a 4-D figure.
  
  – Land
  Mar 28 at 16:23
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @gnovice. Thank you. Yes, it can be 4-D figure. It seems helpful. Thanks again!
  
  – Land
  Mar 28 at 16:25
  

  
  
  
  

 | 
show 3 more comments

This question already has an answer here:

• 
  How to plot a 3D plot in MATLAB?
  
  2 answers
  
  

I want to clarify the relationship between the function and its three arguments through one figure, such as y=f(a,b,c), where y varies with three arguments a,b,c.

But it seems impossible. Is there any good solution to this problem? Or other reasonable method to visualize the relationship well?

I wonder if I can draw a 3-D figure with three axises a,b,c, and use the color depth to represent the function value. Can this be realized?

matlab 3d data-visualization matlab-figure

share|improve this question

edited Mar 28 at 16:54

SecretAgentMan

1,58333 gold badges99 silver badges2525 bronze badges

asked Mar 28 at 15:50

LandLand

344 bronze badges

matlab 3d data-visualization matlab-figure

matlab 3d data-visualization matlab-figure

share|improve this question

edited Mar 28 at 16:54

SecretAgentMan

1,58333 gold badges99 silver badges2525 bronze badges

asked Mar 28 at 15:50

LandLand

344 bronze badges

share|improve this question

edited Mar 28 at 16:54

SecretAgentMan

1,58333 gold badges99 silver badges2525 bronze badges

asked Mar 28 at 15:50

LandLand

344 bronze badges

edited Mar 28 at 16:54

SecretAgentMan

1,58333 gold badges99 silver badges2525 bronze badges

edited Mar 28 at 16:54

SecretAgentMan

1,58333 gold badges99 silver badges2525 bronze badges

asked Mar 28 at 15:50

LandLand

344 bronze badges

asked Mar 28 at 15:50

LandLand

344 bronze badges

1 Answer
1

active

oldest

votes

1

This is an example of using scatter3 to plot multiple variables. Changing marker type adds more functionality. Notice we still haven't made use of the S (marker size) argument in scatter3(X,Y,Z,S,C).

However, this may not be a good visualization for some applications. Some other resources listed below.

% MATLAB R2017a
n = 50;
X = 10*rand(n,1);
Y = 15*rand(n,1);
Z = 20*rand(n,1);
V = 100*rand(n,1); 

idxA = X + Y > 15;
idxB = ~idxA;

colormap(cmap), hold on, box on
p(1) = scatter3(X(idxA),Y(idxA),Z(idxA),[],V(idxA),'filled');
p(2) = scatter3(X(idxB),Y(idxB),Z(idxB),[],V(idxB),'filled');
p(2).Marker = 'd';
cb = colorbar;
view([-5 -2 -2])

p(1).MarkerEdgeColor = 'k';
p(2).MarkerEdgeColor = 'k';
xlabel('X')
ylabel('Y')
zlabel('Z')
cb.Label.String = 'V'; 

Other resources:

This post with 3D and 4D solutions. Future visitors may find this post valuable as well due to its many examples complete with code.

MATLAB references:
MATLAB Plot Types
MATLAB Plot Gallery

share|improve this answer

edited Mar 28 at 16:52

answered Mar 28 at 16:34

SecretAgentManSecretAgentMan

1,58333 gold badges99 silver badges2525 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Thank you! Can we use line to connect these scatters?
  
  – Land
  Mar 28 at 16:40
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Since it is in 3D, you mean something like surface or surf?
  
  – SecretAgentMan
  Mar 28 at 16:48
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Yes. Since they are discrete, it will be a little difficult to get the varing trendency.
  
  – Land
  Mar 28 at 16:53
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Have you looked at 'ribbon' or 'plot3' ("LineSpec" property set to '-')?
  
  – SecretAgentMan
  Mar 28 at 17:06
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  I don't see why you couldn't plot the point markers over top one of the other plots. So, yes, I think that's possible if that's the question.
  
  – SecretAgentMan
  Mar 28 at 17:09
  

  
  
  
  

add a comment
 | 

1

This is an example of using scatter3 to plot multiple variables. Changing marker type adds more functionality. Notice we still haven't made use of the S (marker size) argument in scatter3(X,Y,Z,S,C).

However, this may not be a good visualization for some applications. Some other resources listed below.

% MATLAB R2017a
n = 50;
X = 10*rand(n,1);
Y = 15*rand(n,1);
Z = 20*rand(n,1);
V = 100*rand(n,1); 

idxA = X + Y > 15;
idxB = ~idxA;

colormap(cmap), hold on, box on
p(1) = scatter3(X(idxA),Y(idxA),Z(idxA),[],V(idxA),'filled');
p(2) = scatter3(X(idxB),Y(idxB),Z(idxB),[],V(idxB),'filled');
p(2).Marker = 'd';
cb = colorbar;
view([-5 -2 -2])

p(1).MarkerEdgeColor = 'k';
p(2).MarkerEdgeColor = 'k';
xlabel('X')
ylabel('Y')
zlabel('Z')
cb.Label.String = 'V'; 

Other resources:

This post with 3D and 4D solutions. Future visitors may find this post valuable as well due to its many examples complete with code.

MATLAB references:
MATLAB Plot Types
MATLAB Plot Gallery

share|improve this answer

edited Mar 28 at 16:52

answered Mar 28 at 16:34

SecretAgentManSecretAgentMan

1,58333 gold badges99 silver badges2525 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Thank you! Can we use line to connect these scatters?
  
  – Land
  Mar 28 at 16:40
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Since it is in 3D, you mean something like surface or surf?
  
  – SecretAgentMan
  Mar 28 at 16:48
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Yes. Since they are discrete, it will be a little difficult to get the varing trendency.
  
  – Land
  Mar 28 at 16:53
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Have you looked at 'ribbon' or 'plot3' ("LineSpec" property set to '-')?
  
  – SecretAgentMan
  Mar 28 at 17:06
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  I don't see why you couldn't plot the point markers over top one of the other plots. So, yes, I think that's possible if that's the question.
  
  – SecretAgentMan
  Mar 28 at 17:09
  

  
  
  
  

add a comment
 | 

1

This is an example of using scatter3 to plot multiple variables. Changing marker type adds more functionality. Notice we still haven't made use of the S (marker size) argument in scatter3(X,Y,Z,S,C).

However, this may not be a good visualization for some applications. Some other resources listed below.

% MATLAB R2017a
n = 50;
X = 10*rand(n,1);
Y = 15*rand(n,1);
Z = 20*rand(n,1);
V = 100*rand(n,1); 

idxA = X + Y > 15;
idxB = ~idxA;

colormap(cmap), hold on, box on
p(1) = scatter3(X(idxA),Y(idxA),Z(idxA),[],V(idxA),'filled');
p(2) = scatter3(X(idxB),Y(idxB),Z(idxB),[],V(idxB),'filled');
p(2).Marker = 'd';
cb = colorbar;
view([-5 -2 -2])

p(1).MarkerEdgeColor = 'k';
p(2).MarkerEdgeColor = 'k';
xlabel('X')
ylabel('Y')
zlabel('Z')
cb.Label.String = 'V'; 

Other resources:

This post with 3D and 4D solutions. Future visitors may find this post valuable as well due to its many examples complete with code.

MATLAB references:
MATLAB Plot Types
MATLAB Plot Gallery

share|improve this answer

edited Mar 28 at 16:52

answered Mar 28 at 16:34

SecretAgentManSecretAgentMan

1,58333 gold badges99 silver badges2525 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Thank you! Can we use line to connect these scatters?
  
  – Land
  Mar 28 at 16:40
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Since it is in 3D, you mean something like surface or surf?
  
  – SecretAgentMan
  Mar 28 at 16:48
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Yes. Since they are discrete, it will be a little difficult to get the varing trendency.
  
  – Land
  Mar 28 at 16:53
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Have you looked at 'ribbon' or 'plot3' ("LineSpec" property set to '-')?
  
  – SecretAgentMan
  Mar 28 at 17:06
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  I don't see why you couldn't plot the point markers over top one of the other plots. So, yes, I think that's possible if that's the question.
  
  – SecretAgentMan
  Mar 28 at 17:09
  

  
  
  
  

add a comment
 | 

This is an example of using scatter3 to plot multiple variables. Changing marker type adds more functionality. Notice we still haven't made use of the S (marker size) argument in scatter3(X,Y,Z,S,C).

However, this may not be a good visualization for some applications. Some other resources listed below.

% MATLAB R2017a
n = 50;
X = 10*rand(n,1);
Y = 15*rand(n,1);
Z = 20*rand(n,1);
V = 100*rand(n,1); 

idxA = X + Y > 15;
idxB = ~idxA;

colormap(cmap), hold on, box on
p(1) = scatter3(X(idxA),Y(idxA),Z(idxA),[],V(idxA),'filled');
p(2) = scatter3(X(idxB),Y(idxB),Z(idxB),[],V(idxB),'filled');
p(2).Marker = 'd';
cb = colorbar;
view([-5 -2 -2])

p(1).MarkerEdgeColor = 'k';
p(2).MarkerEdgeColor = 'k';
xlabel('X')
ylabel('Y')
zlabel('Z')
cb.Label.String = 'V'; 

Other resources:

This post with 3D and 4D solutions. Future visitors may find this post valuable as well due to its many examples complete with code.

MATLAB references:
MATLAB Plot Types
MATLAB Plot Gallery

share|improve this answer

edited Mar 28 at 16:52

answered Mar 28 at 16:34

SecretAgentManSecretAgentMan

1,58333 gold badges99 silver badges2525 bronze badges

% MATLAB R2017a
n = 50;
X = 10*rand(n,1);
Y = 15*rand(n,1);
Z = 20*rand(n,1);
V = 100*rand(n,1); 

idxA = X + Y > 15;
idxB = ~idxA;

colormap(cmap), hold on, box on
p(1) = scatter3(X(idxA),Y(idxA),Z(idxA),[],V(idxA),'filled');
p(2) = scatter3(X(idxB),Y(idxB),Z(idxB),[],V(idxB),'filled');
p(2).Marker = 'd';
cb = colorbar;
view([-5 -2 -2])

p(1).MarkerEdgeColor = 'k';
p(2).MarkerEdgeColor = 'k';
xlabel('X')
ylabel('Y')
zlabel('Z')
cb.Label.String = 'V'; 

share|improve this answer

edited Mar 28 at 16:52

answered Mar 28 at 16:34

SecretAgentManSecretAgentMan

1,58333 gold badges99 silver badges2525 bronze badges

answered Mar 28 at 16:34

SecretAgentManSecretAgentMan

1,58333 gold badges99 silver badges2525 bronze badges

answered Mar 28 at 16:34

SecretAgentManSecretAgentMan

1,58333 gold badges99 silver badges2525 bronze badges