Ask for plotting rectangular pulse with controlled rising/falling edge - matlab

I would like to plot a series of rectangular pulse to a vector data input. The plot profile would create a rising edge of the pulse for a positive number and create the falling edge for the negative of that number. The plot should separate color for each represented number.
For example, if vector input X is [1 -1 2 -2 3 4 1 -4 -1 -3]
Amplitude of data ‘1’ is 5,
Amplitude of data ‘2’ is 4,
Amplitude of data ‘3’ is 3 and
Amplitude of data ‘4’ is 2
So, the input X got index from t(1) to t(10). The output of plot or chart should look like the inserted image
How would I can write a MATLAB code for this work?
Thank you.
B.Bundit

The plot is very small but I think you want something like bar in matlab. Documentation is here. If the vector that you have is changes then you can create a vector of values for plotting using cumsum.
X=[1 -1 2 -2 3 4 1 -4 -1 -3];
Xplot=cumsum([5,X(2:end)]); % //so 5 will be your initial value
Since the plot you give above has different widths of bars, you would also need a vector of the center of each data point and the width of each data point.
means= [1 2 3 4 5 6 7 8 9 10];
widths=[1 1 1 1 1 1 1 2 1 1];
For different color bar plots you can do:
colors=['r','g','k','b','c','m','y','r','g','k'];
for i=1:length(X)
h=bar(means(i),Xplot(i),widths(i));
if i==1, hold on; end
set(h,'FaceColor',colors(i));
end
% //This will label each bar, or you could define your axes before the loop
set(gca,'XTickLabel',means);
You can explore other properties to set here. The class barseries does not have a FaceAlpha property so I'm not sure if you can make them transparent. You could however set the FaceColor to none and have the EdgeColor be set to your color of choice. Note that edge color is specified by an RGB triplet and not a letter code.
You may also need to resort your data by width, so that the widest bars are plotted last and are thus on top. This would look like this:
[widths_sorted,sort_idx]=sort(widths,'ascending');
Xplot_sorted=Xplot(sorted_idx);
means_sorted=means(sorted_idx);

Related

Limitation to MATLAB Hidden Line Removal?

I've asked this question on Mathwork's site so if cross-posting isn't allowed let me know and I'll delete this.
I'm trying to render small objects and large objects together in MATLAB. I'm using the camera commands to restrict my field of view such that I can see both. However, when I do that, the hidden line removal fails on the small objects. I would have thought that hidden line removal would have been done at machine precision for floats, but it appears not. Is this a function of my graphics card or can I work around this?
The code below is the minimum example I could come up with. Plotted on an axis with default limits, the hidden line removal works fine (left) When the axis is set to large extents (compared to the object) the line removal fails (middle). When I make the axis disappear things are fine again (right).
For this example, I can just hide the axis and the output looks correct. But for what I'm actually trying to do, that's not an option. Any suggestions or can someone point me to the proper limit between the smallest and largest objects in a scene that will properly render?
The code to generate the spheres above is below. Thanks in advance!
Images as generated by MATLAB 2018A
clearvars
F1 = figure(1);
clf
set(F1,'color',[1 1 1],'Renderer','opengl'); % have to enable this to clip surfaces behind the camera
for step = [2 1 3] % out of order because the axis in case 2 is trying to hide the first plot
subplot(1,3,step)
view(gca,3);
camproj(gca,'Perspective'); % have to enable this to clip surfaces behind the camera
[Xs,Ys,Zs] = sphere(20);
r = 30e-6;
surf(gca,Xs*r,Ys*r,Zs*r);
axis(gca,'equal');
% three different behaviors, pick a number 1, 2, or 3
switch step
case 1 % this plots the sphere correctly
%axis([-2 2 -2 2 -2 2]);
%axis off
case 2 % this messes up the hidden line removal
axis([-2 2 -2 2 -2 2]);
%axis off
case 3 % removing the axis walls fixes things again
axis([-2 2 -2 2 -2 2]);
axis off
end
% put viewpoint on unit sphere
camera_pos = get(gca,'CameraPosition');
mag_camera_pos = sqrt(sum(camera_pos.^2));
camera_pos = camera_pos / mag_camera_pos;
set(gca,'CameraPosition',camera_pos);
final_angle = 2.5*atand(r/1);
set(gca,'CameraViewAngle',final_angle);
end
drawnow

How to get color gradient for Newton Method basin of attraction fractal

I am using MATLAB to go through a NxN grid in the complex plane, the x's are the real component and the y's are the imaginary component. For each point on this grid I am using it as a starting point for Newton's Method. Depending on which root it converges to it is assigned a number. This number is used with pcolor to plot the fractal.
It plots nicely, however, I want to also plot the color darkness depending on how long it takes to converge to the root. I am having trouble with pcolor. I was able to get the 3 colors for the 3 roots but I am not quite sure how to add more colors so that it is more descriptive.
Here is the code to get the plot after I have
xp - array of x points
yp - array of y points
col - NxN matrix that has either 1, 2, 3 (corresponds to which root)
% thresholds for color
caxis([1 3]);
% sets colors Red, Green, Blue
mycolors = [1 0 0; 0 1 0; 0 0 1];
colormap(mycolors);
% real component on x and imaginary component on y
h=pcolor(xp, yp, col');
set(h, 'LineStyle', 'none' );
So, how can I get there to be a gradient in pcolor, it seems that pcolor just kind of figures out all the colors itself. And caxis only allows boundaries for 2 colors.
Let me know if you want to see the full code of this program.
Thank you
Add the number of iterations it took to get to convergence as a color. Define the colors in HSV, and make the number of iterations map to the value S of HSV. That will give you a nice and meaningful color gradient without really changing the colors.
The pseudocode is:
For that, generate your 3 colors mycolors as you do. Change their color space as mycolorshsv=rgb2hsv(mycolors);
What you want now is to generate a bunch (your choice) of colors per color.
mycolorshsv=repelem(mycolorshsv,N,1);
Now lets generate N gradients per color.
mycolorshsv( 1: N,2)=linspace(0,1,N);
mycolorshsv( N+1:2*N,2)=linspace(0,1,N);
mycolorshsv(2*N+1:3*N,2)=linspace(0,1,N);
You want e.g. the longest iteration you obtained maxiter to be the brightest. We need to transform your col matrix from [1,2,3] to our current range now. For that, just
col=(col-1)*N+1; % make 1=>1, 2=>N, 3=>2*N;
col=col+iteration_matrix; %max(iteration_matrix) must be maxiter. You may want to normalize so min(iteration_matrix) is 0
Now simply set the colormap(mycolors);, and I would use imagesc instead of pcolor, but its less important.
Play with the range, and limits of the colro values for nicer maps. Often non-linear maps are also used, where a function f is applied to the iteration values, such as the sigmoid.
This is the technique used for the newton fractals you can find in wikipedia, such as:

3D visualisation with VTK/paraview

Here is my problem :
I have a 2D domain (say a square) divided in triangles in a unstructured manner. On each triangle (denoted T), I define a constant scalar, denoted f(T).
I want to plot the surface (T,f(T)) using Paraview.
So I have created a vtk file like this:
vtk DataFile Version 3.1
my personnal comment here
ASCII DATASET UNSTRUCTURED_GRID
POINTS 4 FLOAT
0 0 0
0 1 0
1 0 0
1 1 0
CELLS 2 8
3 0 1 2
3 1 2 3
CELL_TYPES 2
5 5
CELL_DATA 2
SCALARS Namedata double
LOOKUP_TABLE default
2
-5
I would like to see (thanks to Paraview) a 3D plot. Ideally, the visualization on this example should be two triangles: the first one should have its z-coordinates equal to 2 and the second one should have its z-coordinates equal to -5. I don't know if something is possible or if the vtk format is the good one for what I'm trying to do.
If it is not possible, I would be happy to represent only the two points (x-coordinate of the triangle number 1, y-coordinate of the triangle number 1, z-coordinate = 2) and (x-coordinate of the triangle number 2, y-coordinate of the triangle number 2, z-coordinate = -5) with or without interpolation.
This is not hard to do in ParaView. There is filter named "Warp By Scalar" which can translate geometry in the z direction (or any other direction) based on a scalar field. The only issue is that Warp By Scalar works on point data, and you want to warp by cell data. So you have to go through a few steps first.
Add the "Shrink" filter to your data. Set the "Scale Factor" parameter to 1. Apply. Your data will look the same, but it will have the effect of breaking apart the triangles, which are actually sharing points in your original data.
Add the "Cell Data to Point Data" filter to the output of the Shrink filter. Apply.
Add the "Warp By Scalar" filter to the output of Cell Data to Point Data. Apply.

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

Plotting interactive lattice in a simulation matlab

I'm running a simulation that describes activity at the front and back of a 2D, square lattice. the front and back are described for example by:
front= [-1 1 -1 0 1 0 1 2 -2 1 ];
back = [ 1 0 0 0 2 0 1 -2 -2 1 ];
each number indicates different activity on the lattice.
I want to plot this interactively so that each value in the lattice will be marked by a different marker and color and the plot will be updated every iteration.
So far I have something like:
% the upper and lower edges of the lattice
figure (1)
hold on
plot(linspace(1,100,10),10*ones(1,10),'k'); %front
plot(linspace(1,100,10),1*ones(1,10),'k'); %back
% the front and back when are equal 0 zero (initial condition)
plot(100*ones(1,10),1:10,'ob','markersize',10); % front
plot(1*ones(1,10),1:10,'ob','markersize',10); % back
xlim([-1 101])
ylim([-1 11])
This marks the initial setup of the system I'm working on, plot it to see what I'm referring to.
now in each iteration I want to view the circles change colors for different values, for example:
figure (1)
ind=find(front==1);
if (isenum(ind)==0)
plot(100*ones(1,length(ind)),ind,'or','markerfacecolor','r');
end
This is done 10 times, for 5 values at the front and 5 at the back, and is quite heavy on the simulation
I wish to find a way that I can span the entire vector front/back on the lattice with "one go" and have different markers assigned to each value. I manage to do it with imagesc, however, I lose the graphics I want to keep while piloting the markers (I wish to add arrows and other stuff later as well). does anyone have any experience with these kind of things?