MATLAB: Scatter plot with conditional coloring - matlab

I have a large data matrix with 5 columns. 5th column contains many zeros. I want to do scatter(data(:,4),data(:,5)) and set a different color for points/rows where value in 5th column is zero.
I will then draw scatter plot of different columns but with same condition i.e. different color where values in 5th column are zeros.

You can easily set the different color-flag as a fourth parameter in a function:
scatter(d(:,4), d(:,5), 7, d(:,5)==0);
Here d(:,4) and d(:,5) are the coordinates of points, 7 is the size of the point, and d(:,5)==0 is the color-flag (for different values of d(:,5), different colors are chosen).

Related

Create plot between two points representing confidence intervals in R

I have a data frame similar to the one created in the example below:
Remove columns with zero values from a dataframe
Is it possible to create a whisker plot connecting these two points in R? I would want the variables on the x-axis and the points on the y-axis.

Create a plot with a 2D colourmap depending on two variables

I want to display an image (e.g.imshow) and use a colormap to represent the values of my data points.
However, colormap only gives the option to be dependent on a single variable, but I want a "2D colormap" which depends on two variables.
For example I have a simple image 2x2 pixels:
img = [
1 1 5 6;
1 2 8 7;
2 1 4 3;
2 2 15 3]
Here the first two values of each row are the coordinates, the other two are the values describing the pixel (call them x and y).
When displaying the image I want to use a 2D colormap. For example something like this, which picks a colour depending on both variables (x and y):
Is there an option in MATLAB do to this, possibly in one of the extra toolboxes?
If not can this be done manually? I was thinking by overlaying a grey scale image given from the first value over a colormap image given by the second value a similar effect could be achieved.
In your 2D colormap you are actually using the HSV color space.
Basically, your x axis is Hue, and Y axis is Saturation. You can convert any value into this space if its properly scaled. If you make sure that you scale your 3rd and 4rd column in the [0-1] interval you can easily do
colorRGB=hsv2rgb([val3,val4,0.5]);
If you perform this operation for each pixel, you'll get the image you want.
I gave a extended explanation of how HSV works here

MATLAB: Density-time Plot

I have 11 1x50 matrices that contain densities. The first looks like [20, 20, 20... 20] and represents time=0. The second looks like [20, 19, 22,..], etc. and represents time=100. These continue to vary until t=1000.
What I'm hoping to do is to create a plot with the elements' position on the x-axis (50 positions for the 50 pieces of data in each) and time (0-1000) on the y-axis. Ideally, I'd like the plot to be completely filled in with color densities, and a colorbar on the side that shows what densities the color range represents.
Any help would be greatly appreciated!
Sort of inspired by: http://www.chrisstucchio.com/blog/2012/dont_use_scatterplots.html
Assuming you have (or can arrange to have) all those vectors as columns of a 11x50 matrix:
A = randi(100, 11,50); %//example data
you can just use
imagesc(1:50, 0:100:1000, A)
colorbar
axis xy %// y axis increasing, not decreasing
Example:
Looking at the comments, it will be easier to stack these vectors into a 2D matrix. You have 11 individually named vectors. Assuming that your vectors are named vec1, vec2, vec3, etc., create a 2D matrix A that stacks these vectors on top of each other. Also, you'll need to include an extra row and column at the end of this matrix that contains the minimum over all of your vectors. The reason why this is will be apparent later, but for now take my word for it as this is what you need.
In other words:
A = [vec1; vec2; vec3; vec4; vec5; vec6; vec7; vec8; ...
vec9; vec10; vec11];
minA = min(A(:));
A = [A minA*ones(11,1); minA*ones(1,51)];
As such, the first row contains the information at time 0, the next row contains information at time 100, etc. up to time 1000.
Now that we have that finished, we can use the pcolor function to plot this data for you. pcolor stands for pseudo-coloured checkerboard plot. You call this by doing:
pcolor(A);
This will take a matrix stored in A and produce a checkerboard plot of your data. Each point in your matrix gets assigned a colour. The colours get automatically mapped so that the least value gets mapped to the lowest colour while the highest value gets mapped to the highest colour. pcolor does not plot the last row and last column of the matrix, but pcolor does use all of the data in the matrix. In order to ensure that the colours get properly mapped, we need to pad your matrix so that the last row and last column get assigned to the smallest value over all of your vectors. As you want to plot all values in the matrix, that's why we did what we did above.
Once we do this, we'll need to modify the X and Y ticks so that it conforms to your data. As such:
pcolor(A);
set(gca, 'XTick', 0.5:5:51.5);
set(gca, 'XTickLabel', 0:5:50);
set(gca, 'YTick', 1.5:11.5);
set(gca, 'YTickLabel', 0:100:1000);
xlabel('Sample Number');
ylabel('Time');
colorbar;
What the code does above is that it generates a checkerboard pattern like what we talked about. This labels the Sample Number on the x axis while time is on the y axis. You'll see with the two set commands that I did, this is a bit of a hack. The y axis by default labeled the ticks going from 1 - 12. What I did was that I changed these labels so that they go from 0 to 1000 in steps of 100 instead and I also removed the tick of 12. In addition, I have made sure that these labels go in the middle of each row. I do this by setting the YTick property so that I add 0.5 to each value going from 1 - 11. Once I do this, I then change the labels so that they go from 0 - 1000 in steps of 100. I also do the same for the x axis in a similar fashion to the y axis. I then add a colorbar to the side as per your request.
Following the above code, and generating random integer data that is between 13 and 27 as per your comments:
A = randi([13,27], 11, 50);
minA = min(A(:));
A = [A minA*ones(11,1); minA*ones(1,51)];
We get:
Obviously, the limits of the colour bar will change depending on the dynamic range of your data. I used randi and generated random integers within the range of 13 to 27. When you use this code for your purposes, the range of the colour bar will change depending on the dynamic range of your data, but the colours will be adjusted accordingly.
Good luck!

How to plot 2D data with different colors and markers

Im faced with a problem where i need to plot a two dimensional data with different colors and markers.
We are given with 2 array, namely points (n x 2 dimension) and Label (n x 1 dimension). Im not sure about the number of unique values in the Label array but maximum could be 10. I would like to plot the points with different color and markers based on its corresponding Label value.
Can any one help me in this regard
Use gscatter, which does a scatter plot, using a group (Label in your case) to plot in different colours/makers.
GSCATTER(X,Y,G,CLR,SYM,SIZ) specifies the colors, markers, and
size to use. CLR is either a string of color specifications or
a three-column matrix of color specifications. SYM is a string
of marker specifications. Type "help plot" for more information.
For example, if SYM='o+x', the first group will be plotted with a
circle, the second with plus, and the third with x. SIZ is a
marker size to use for all plots. By default, the marker is '.'.
So you can specify colours like 'rgcmykwb' to do red for the first group, green for the second, etc or [] just to have Matlab sort it out.
By default Matlab uses the same marker for each group, so you need to specify what markers you want to be used for each group. If you do '.ox+*sdv^<>ph' you'll just cycle along all the markers that Matlab has.
n=50;
% make nx2 matrix of random points.
points = random('unif',0,1,n,2);
% make nx1 matrix of random labels from {1,2,...,5}
labels=round(random('unif',1,5,n,1));
% plot. Let Matlab sort out the colours and we will specify markers.
gscatter(points(:,1),points(:,2),labels,[],'ox+*sdv^<>ph.')
It looks a bit like this:

Scatter with different colors

If I have
matrix=
0.0494 2.3691
-0.0973 0.8026
-0.3040 -0.0861
-0.0626 2.5688
-0.4144 0.7054
0.0633 -0.0991
-0.8386 -1.2229
1.8929 2.6260
1.7687 2.3963
1.8243 -0.5543
1.9272 -0.3946
-0.0682 1.7404
-0.1180 2.2323
0.4071 -0.1878
0.6406 2.5602
-0.2144 2.0014
0.1091 -0.1874
-0.1102 0.2922
How Would you plot one column in a color and other in a different color, or some of them in one color
scatter(matrix(:,1),matrix(:,2), 'b','+');
scatter does not plot each column separately. It is column 1 vs column 2. So, each point on the scatter plot is made up of both columns. In other words, there is no difference between scatter(x,y) and plot(x,y,'o'). However, scatter has other features, which is why it is available as a different function. If you were just trying to plot each column separately with two colors, you can simply do plot(matrix,'o') and MATLAB should automatically assign blue for the first column and green for the second.
scatter also takes a colormap as an argument. So if you intended to plot half your data (both columns) one color and the rest another, you can try this
nRows=size(matrix,1);
red=repmat([1,0,0],fix(nRows/2),1);%# use fix so that you don't get an error if nRows is not even.
green=repmat([0,1,0],nRows-fix(nRows/2),1);
scatter(matrix(:,1),matrix(:,2),[],[red;green]);