Threshold on contourf - matlab

I want two contour plot to show a threshold and I'm using
contourf(X,Y,Z,[-1,-1],'k');
contourf(X,Y,Z,[2,2],'w');
while X and Y a simple meshgrid.
I see that the matrix Z has values above -1 and above 1, so I'm expecting the two lines at -1 and 1 but I see only the first contour lines. What am I doing wrong? Do I get it wrong this property?
Edit: here an example
x = 0:5:180;
y = 0:5:355;
[X,Y] = meshgrid(x,y);
Z = 5*cos(X);
figure(1);## Heading ##
surf(X',Y',Z','EdgeColor','none');
view(2); colorbar;colormap(jet); hold on
contour(X',Y',Z',[-1,-1],'k','LineWidth',1);
contour(X',Y',Z',[2,2],'k','LineWidth',2);
legend('','1','2','Location','northeastoutside');
I saw that if I put the two contour in a new figure, the two are plotted. But when I use surf, I just see the [-1,-1] option.
Many thanks
edit2: using pcolor instead of surf (removing ,'EdgeColor','none') gives me the correct plot...Why? What changes?

What happens is that contourf is not a 3D ploting function, its a 2D plotting function. So when you ask to plot contour lines, it will always plot them at z=0. So your surf plot is "on top of" the contourf for z>0, as you are setting view(2).
Look at the example you gave, with a different view:
You can see both lines here.
pcolor plots a 2D image, not a 3D surface, so it works with pcolor or imagesc.

Related

Matlab - Contour plot with labeled levels over Surf plot

I would like to plot a contour or contour3 with labeled levels over a surf plot with the same data using Matlab R2015b. Finally the figure is shown from above (the view in negative z-direction) to see the result.
My problem: The labels seem to disappear in the surf area - the product lacks the intended information.
My current test-code with the best result so far:
[X,Y,Z] = peaks;
v = -6:2:8;
hold on
surf(X,Y,Z)
shading interp
contour3(X,Y,Z,v,'k--','ShowText','on')
hold off
colormap default
caxis([-7,9])
view(0,90)
I am not yet allowed to post a picture of the result ..
Related questions in my consideration would be how to change contourf plots location on z-axis or shift the z-value of contour plot in Matlab 2014b to change the z-axis-property of a normal contour plot but they were no solution to my problem or did not work at all.
I finally understood your problem, you can solve it by doing all in 2D like so
[X,Y,Z] = peaks;
v = -6:2:8;
hold on
contourf(x,y,z,500,'LineStyle','none');
[C,h]=contour(x,y,z,v,'k--');
clabel(C,h,'FontSize',15);
caxis([-7,9])
view(0,90)

MATLAB contour plot of 2D scatter

What I want to do is very simple, I just cannot seem to get MATLAB to do it. I would like to plot contours using my 2D data set.
My data set is large; 2 x 844240. I can do a scatter plot just fine,
scatter(Data(1,:), Data(2,:));
Reading through the forums I found Scatter plot with density in Matlab, where a hisogram was plotted. This would suffice, however, I would like to overlay the plots.
The issue is that they have different axis, my scatter data has an axis of [0 0.01 0 2500]; whereas the histogram is [0 100 0 100].
Is there a way to change the axis values of the histogram without modifying the image?
Thanks!
If I understand correctly, you are using hist3 to construct a histogram and then using imagesc to plot it. You can use the second output argument of hist3 to get the histogram bin centers, and then pass those on to imagesc, e.g.
nBins_x = 100;
nBins_y = 100;
[counts, bin_centers] = hist3(Data, [nBins_x nBins_y]);
x_bin_centers = bin_centers{1};
y_bin_centers = bin_centers{2};
imagesc(x_bin_centers, y_bin_centers, counts)
A couple other notes:
In your case, you will need to transpose your [2 x N] matrix when passing it to hist3, which expects an [N x 2] matrix.
imagesc puts the first axis (which I've been calling the "x" axis) on the vertical axis and the second on the horizontal axis. If you want to flip it, you can use:
imagesc(y_bin_centers, x_bin_centers, counts')
If you want to specify the histogram bins explicitly (e.g. to match your scatterplot) you can specify that in the arguments to hist3:
x_bin_centers = linspace(0, .01, 100);
y_bin_centers = linspace(0, 2500, 100);
counts = hist3(Data, {x_bin_centers, y_bin_centers};
And if you want a contour plot, you can use (note that contour takes the axes arguments in a different order than imagesc):
contour(x_bin_centers, y_bin_centers, counts');
If you are unhappy with the jaggedness of the contours, you may consider using a kernel density estimate instead of a histogram (check out ksdensity) (oops, looks like ksdensity is 1-D only. But there are File Exchange submissions for bivariate kernel density estimation).

How can we fill different levels of contour with a color in matlab

I have a figure which consists of different levels of a contour plotted using the hold on function. I want to fill the space between the levels of contour with a color. Could you please assist me how can I do that. I have already tried the contourf function. The figure consists of different red colored levels of a contour, what I want is a solid color filled between these contour levels.
I am not sure if I got exactly what you wanted but here goes a possible solution to your problem.
If you plotted using the hold on function I would therefore assume you have each contour in a different variable. If so you can use logic to check whether a contour is higher or lower relatively to another. If your problem is that you do not have the same x axis for each so that you can use logic just interpolate for each contour (for example between -0.8 and 0.8)
I will give an example of what I am saying. See if this helps.
%simulated contours
x=linspace(0,pi,100);
y = sin(x);
y2 = sin(x)*2;
y3 = sin(x)*3;
figure, hold on,
plot(x,y),
plot(x,y2),
plot(x,y3),
%fill contours
[X,Y]=meshgrid(x,0:3/100:3);
zzz=(Y<repmat(y,size(Y,1),1))+(Y<repmat(y2,size(Y,1),1))+(Y<repmat(y3,size(Y,1),1));
figure,imagesc(zzz)
set(gca,'YDir','normal')

Need help in 3D plot using MATLAB (X,Y,Z,V)

I need to ask help in plotting a 3D volume in MATLAB. My data set includes the X, Y, Z coordinate and corresponding intensity value, V.
I was using pcolor (X,Y,V) and shading interp while i was doing the 2D images but then I got stuck when I am about to create the 3D images. I have tried scatter3, smooth3 and slice but it seems it does not fit the function I need.
My goal is to plot the 3D grid with the corresponding intensity value per coordinate and apply shading interp between these points.
I am really new in 3D plotting and I would really appreciate any help in achieving my goal. Thank you so much!
Here are some example of images that I am trying to create
(source: ndt.net)
(source: www.bam.de)
I have a solution for your first example, in which you show three cross-sections of the volume data. With this solution you can essentially plot several pcolor with different orientations, in one same 3D figure.
First, you need the data for the different slices. This is exactly what you had when you did pcolor(X,Y,V) to plot the cross section in 2D, where X, Y and V are two dimensional matrices. You will also need to create a matrix Z with the z-position of the slice (e.g. Z = zeros(size(X)) + z0). Then you use the command surface(X,Y,Z,V) to plot the cross section image in 3D, where X,Y,Z are the positions, and V is the color (value of the function).
Repeat this procedure for all the other slices, using appropriate X,Y,Z,V matrices for each slice. For slices oriented on other axes you will have to define X,Y,Z accordingly. Remember to use "hold on" after the first surface command, so that all the slices are plotted.
Example:
surface(X1,Y1,Z1,V1); shading interp; hold on
surface(X2,Y2,Z2,V2); shading interp;
surface(X3,Y3,Z3,V3); shading interp;
colormap(jet(2048)); caxis([0,3]); % color axis colormap and scaling
axis equal; xlabel('X'); ylabel('Y'); zlabel('Z') % X,Y,Z scaling and label
Result figure here:

Plotting points while plotting vectors : Matlab

I need to make a plot with only points and tried something like
plot(x,y)
where x and y are vectors: collection of points.
I do not want matlab to connect these points itself. I want to plot as if plotted with
for loop
plot;hold on;
end
I tried
plot(x,y,'.');
But this gave me too thick points.
I do not want to use forloop because it is time expensive. It takes a lot of time.
You're almost there, just change the MarkerSize property:
plot(x,y,'.','MarkerSize',1)
Try:
plot(x,y,'*');
or
plot(x,y,'+');
You can take a look to the documentation: http://www.mathworks.nl/help/matlab/creating_plots/using-high-level-plotting-functions.html
help scatter
IIRC: where S is the size of the scatter points:
scatter(x,y,S)
You may try this piece of code that avoid using loops. The plot created does not have lines but markers of different colors corresponding to each column of matrices x and y.
%some data (matrix)
x = repmat((2:10)',1,6);
y = bsxfun(#times, x, 1:6);
set(0,'DefaultAxesColorOrder', jet(6)); %set the default matlab color
figure('Color','w');
plot(x,y,'p'); %single call to plot
axis([1 11 0 70]);
box off;
legend(('a':'f')');
This gives