Animate a line on matlab - matlab

I would like to animate a self updating plot on matlab. For example a string vibrating between two ends. All the basic animate functions I have found in the documentation accomplish the same thing, mainly to animate an evolving plot. I.e the function remains the same but the number of points plotted increases (or decreases) in time. For example this script:
h = animatedline;
axis([0,4*pi,-1,1])
x = linspace(0,4*pi,1000);
y = sin(x);
for k = 1:length(x)
addpoints(h,x(k),y(k));
drawnow
end
traces a sine function as if an invisible hand was drawing it. What I would like to do is animate the entire function but with a varying parameter, like the phase or amplitude. I tried to modify using the following:
x = linspace(0,4*pi,1000);
;
axis([0,4*pi,-1,1])
for k = 1:10
h = animatedline(x,sin(k*x))
drawnow
end
This is sort of close to what I need but the functions are progressively appended, not replaced. This results in a total of 10 functions being plotted instead of an animation.
Does anyone understand what I need to do? If so how can this be accomplished?

What about this:
h = animatedline;
axis([0,4*pi,-1,1]);
x = linspace(0,4*pi,1000);
for k = 1:0.01:10
y = sin(k*x);
clearpoints(h);
addpoints(h,x,y);
drawnow
end

Related

How to zoom in or magnify programmatically in MATLAB plot graph?

I'm working on a script, where I need to show graph of Fixed Point Iteration and want to zoom in where lines are plotting. Graph is done, it is plotting lines on my graph, problem is that I want to see the values which are produced from function from f(x) and g(x). So I "zoom in" from the figure tools and see which values are produced in the graph right now I am doing it manually in the figure, is there any way to automatically zoom in by just giving the x, y axis? so it means when lines are plotting figure will be automatically zoomed like an animation.
clc;
clear all;
clf;
format short g
syms x;
f = #(x) x-cos(x);
g = #(x) cos(x);
dg = matlabFunction(diff(g(x),x));
figure(1)
z = -3:.001:3;
plot(z,z,'-k',z,g(z),'-k',z,0*z,'-r',0*z,g(z),'-r')
hold on;
x = 1.0;
tol =1.0e-15;
px = x;
x = g(x);
line([px,px],[px,x],'color','blue');
line([px,x,],[x,x],'color','blue');
i = 1;
while(abs(px-x)>tol)
px = x;
x = g(x);
line([px,px],[px,x],'color','blue');
line([px,x,],[x,x],'color','blue');
i = i+1;
data = [i x g(x) f(x)]
drawnow
end
This is what I want in my graph lines.
Link
I tested "zoom" function but it is not helping as per my requirement. Also I tried this one but I can't understand there code.
xlim will allow you to set the range of x-values that are shown. Link: xlim
ylim will allow you to set the range of y-values that are shown. Link: ylim
Together, these should allow you to 'zoom' to different parts of your plot. For example, after your first plot command you could include:
plot(z,z,'-k',z,g(z),'-k',z,0*z,'-r',0*z,g(z),'-r') % Already in your code
xlim([0 1.5]);
ylim([0 1.5]);
You could also include these commands in your for loop so that it gradually zooms in.

MATLAB: function point_cloud

Question:
Write a function called point_cloud that takes one scalar as an input argument (the function does not have to check the format of the input) and has no output argument.
If it is called like this, point_cloud(100), then it plots 100 points. Each point has a random x coordinate and a random y coordinate, each of which is gotten by a call to randn, which uses a normal distribution with a standard deviation equal to 1. The range of the plot axes should be −5 to 5 in both the x and y dimensions. The grid should be turned off. The points should be plotted and displayed one at a time by calling plot with only one point specified and, following the call of plot, by a call of drawnow, which causes the point to be plotted immediately. The command hold on should be included so that all previous points are retained when a new point is plotted.
Figure 2.41 shows an example view of the plot after point_cloud(100000) has completed its point-by-point plotting on a Mac. (Note that on Windows the points are much larger. Also note that it takes a long time to plot this many points with drawnow. Finally, try zooming in the middle.)
Figure 2.41
My Code:
function point_cloud(N)
hold on
grid off
axis([-5,5,-5,5])
for ii = 1:N
plot(randn(ii));
drawnow;
end
I know this is wrong, but I'm not sure how to solve this problem. Can someone help?
Solved code:
function point_cloud(N)
figure
hold on
grid off
axis([-5,5,-5,5])
x = randn(N,1);
y = randn(N,1);
for ii = 1:N
plot(x(ii),y(ii),'b.');
drawnow;
end
You do not need the for loop at all. And drawing the plot each iteration is very time consuming. How about rather using the scatter function.
figure
hold on
grid off
axis([-5,5,-5,5])
x = randn(N,1);
y = randn(N,1);
scatter(x,y,'b.')
This will be a lot faster.
To add to the other answer, here is the code as a function, with the added functionality that the points are one pixel on Windows as well:
function point_cloud(N)
f = figure;
x = randn(N,1);
y = randn(N,1);
scatter(x,y,1/36,'b.');
f.GraphicsSmoothing = 'off';
grid off
axis([-5,5,-5,5])
axis equal
end
The size of the markers is set with the third parameter of scatter: 1/36. The graphics smoothing of the figure needs to be set to 'off' as well, to make sure that the pixels don't become blurry or lighter.
Here's a 3D version:
function point_cloud3D(N)
f = figure;
x = randn(N,1);
y = randn(N,1);
z = randn(N,1);
scatter3(x,y,z,1/36,'b.');
f.GraphicsSmoothing = 'off';
grid off
axis([-5,5,-5,5,-5,5])
axis square
view(3)
end

How to do an animated plot in matlab

I was wondering if anyone knew how to do an animation plot of
x = (dataset of 1000 points)
y = (dataset of 1000 points)
plot(x,y)
big problem is these are datasets that i am trying to plot , or x,y coordinates as opposed to a function which I would know how to plot via an animation.
I tried to do frames in a for loop but it gave me dots and didn't join them in a line graph so I couldn't really watch the path being traced out.
code I used was
for i = 1:length(DATASET1)
pause(0.1)
plot(DATASET1(i),DATASET2(i))
draw on
end
If what you want is for the plot to "grow" point by point: the easiest way is to create an empty plot and then update its XData and YData properties at each iteration:
h = plot(NaN,NaN); %// initiallize plot. Get a handle to graphic object
axis([min(DATASET1) max(DATASET1) min(DATASET2) max(DATASET2)]); %// freeze axes
%// to their final size, to prevent Matlab from rescaling them dynamically
for ii = 1:length(DATASET1)
pause(0.01)
set(h, 'XData', DATASET1(1:ii), 'YData', DATASET2(1:ii));
drawnow %// you can probably remove this line, as pause already calls drawnow
end
Here's an example1 obtained with DATASET1 = 1:100; DATASET2 = sin((1:100)/6);
1 In case someone's interested, the figure is an animated gif which can be created by adding the following code (taken from here) within the loop, after the drawnow line:
frame = getframe(1);
im = frame2im(frame);
[imind,cm] = rgb2ind(im,256);
if ii == 1;
imwrite(imind,cm,filename,'gif','Loopcount',inf);
else
imwrite(imind,cm,filename,'gif','WriteMode','append');
end
Looks like you were close. Not sure draw on is any command though.
See if the code here inspires you to solve your case -
%// Sample x and y values assumed for demo.
x = 1:1000;
y = x.^2;
%// Plot starts here
figure,hold on
%// Set x and y limits of the plot
xlim([min(x(:)) max(x(:))])
ylim([min(y(:)) max(y(:))])
%// Plot point by point
for k = 1:numel(x)
plot(x(k),y(k),'-') %// Choose your own marker here
%// MATLAB pauses for 0.001 sec before moving on to execue the next
%%// instruction and thus creating animation effect
pause(0.001);
end
Since R2014b, you can work with annimatedline object (doc and how-to) that is meant to handle animated graphs pretty well. Basically, the annimatedline object has a addpoints function that adds new points to the line without having to redefine the existing points, along with a clearpoints function that clears lines for more complex animations.
Here is an example:
h = animatedline;
axis([0,4*pi,-1,1])
x = linspace(0,4*pi,1000);
y = sin(x);
for k = 1:length(x)
addpoints(h,x(k),y(k));
drawnow
end

Trying to make MATLAB's figure stop 'blinking'

So I have a simple loop in MATLAB that does the following:
for p = 1:100
x = 4.*randn(1,100);
y = 7.*randn(1,100);
figure(1)
plot(randn(1,100));
figure(2);
plot(randn(1,100));
end
The x and y are made up, but that is the jist of it. Anyway, when I run this code, not surprisingly, MATLAB will make two figures and plot accordingly. The problem is, I get a sort of 'blinking' between figures when I do this, and it makes the quality of seeing x and y evolve over time poorer.
I discovered a way to make one of the plots smoother like this:
figure(1);
for p = 1:100
x = 4.*randn(1,100);
y = 7.*randn(1,100);
plot(randn(1,100));
drawnow
end
If I do this, then of course figure(1) will plot very smoothly showing x nicely, without figure(1) 'blinking' between plots, but now I cant show figure(2) or y!
How can I plot both those quantities on different figures (not subplots) smoothly without 'blinking'?
EDIT:
Thanks Geodesic for your answer, the solution works, however there is a subtlety that I did not think would be an issue, however it is.
1) I am unable to use 'imagesc' with this solution.
For example,
figure(1);
aone = axes;
figure(2);
atwo = axes;
for p = 1:100
x = 4.*randn(1,100);
y = 7.*rand(10,100);
plot(aone,x);
drawnow;
imagesc(atwo,y);
drawnow;
end
In this case the part with imagesc(atwo, y) crashes.
Your flicker is because you're generating each figure window again and again through the loop, which is forcing the window to come to the foreground each time. Generate the figures first, attach some axes to them, and plot your data to each axis like so:
figure(1);
aone = axes;
figure(2);
atwo = axes;
for p = 1:100
x = 4.*randn(1,100);
y = 7.*randn(1,100);
plot(aone,randn(1,100));
drawnow;
imagesc(y,'Parent',atwo);
drawnow;
end
Edit: functions like plot take an axis argument directly, but imagesc does not. In this particular case you'll need to send a Property Name/Value pair in as an argument. The 'Parent' of the image generated will be our axis atwo (see above).
For p = 1, create the plots you need, using the plot command or the imagesc command. Keep the handle of the resulting graphics object by getting an output argument: for example h = plot(.... or h = imagesc(..... This will be a Handle Graphics lineseries or image object, or something else, depending on the particular plot type you create.
For p = 2:100, don't use the plotting commands directly, but instead update the relevant Data properties of the original Handle Graphics object h. For example, for a lineseries object resulting from a plot command, set its XData and YData properties to the new data. For an image object resulting from an imagesc command, set its CData property to the new image.
If necessary, call drawnow after updating to force a flush of the graphics queue.

how to animate 2 surfaces in Matlab?

I've written this code which makes an animation of 2 ellipsoids. Parameter k1 of these ellipsoids must depend on time (so they'd move asynchronously), but I need to animate them in one figure. Can I use loop for it or is it better to use timer & some kind of callback functions? The second problem - I need to move inner ellipsoid so they would have one common side. How can I do this?
You should use a loop. The majority of your time will be spent plotting and with the "getFrame" command. You can use profile to verfiy this. The for loop won't add significant overhead and is easiest to code and understand
As for your second question, I'm not sure exactly what you're asking, but if you want to keep a point in common, you should parametrize your surface in terms of the radii, skew angle, etc. and the common point, then just move the point around. You might want to consider writing a "drawEllipsoid" function, which would simplify and clarify your code.
The loop seems fine for this job. A timer would work as well.
I'm not sure quite what you mean when you say "have one common side". It looks like you're close with adding 5 to X2, but you would need a scaling term since they're not the same shape. Could you elaborate?
One suggestion though. I think that you'll be a lot happier if you move the object creation out of the loop like this:
a=5;
b=a;
c=10;
u = (0:0.05*pi:2*pi)'; %'
v = [0:0.05*pi:2*pi];
X = a*sin(u)*cos(v);
Y = a*sin(u)*sin(v);
Z = c*cos(u)*ones(size(v));
Z(Z>0)=0; % cut upper
V1=4/3*pi*a*b*c;
d=1/2;
e=2^d;
a2=a/e;
b2=a/e;
c2=c;
V2=4/3*pi*a2*b2*c2;
X2 = a2*sin(u)*cos(v);%-2.5;
Y2 = b2*sin(u)*sin(v);
Z2 = c2*cos(u)*ones(size(v));%+0.25;
Z2(Z2>0)=0; % cut
h=1/3;
hS1=surf(X,Y,Z);
alpha(.11)
hold on
hS2=surf(X2,Y2,Z2);
hold off
axis([-20 20 -20 20 -20 20]);
for j = 1:20
k1=(sin(pi*j/20)+0.5)^h;
a=a*k1;
c=c*k1;
X = a*sin(u)*cos(v);
Y = a*sin(u)*sin(v);
Z = c*cos(u)*ones(size(v));
Z(Z>0)=0;
a2=a2*k1;
b2=a2*k1;
c2=c2*k1;
X2 = a2*sin(u)*cos(v)+5;%-2.5;
Y2 = b2*sin(u)*sin(v);
Z2 = c2*cos(u)*ones(size(v));%+0.25;
Z2(Z2>0)=0;
set(hS1,'XData',X,'YData',Y,'ZData',Z);
set(hS2,'XData',X2,'YData',Y2,'ZData',Z2);
drawnow;
F(j) = getframe;
end
movie(F,4)
The drawnow is not strictly necessary here because the getframe contains one, but it is good to insert one so that you can see what's going on if you remove the getframe.
OK, here's the shortcut to doing a trimmed surface I mentioned in my earlier comment. What you're going to do is put NaNs into the coordinates everywhere the surface is outside the domain. Then the surface object will drop any quads which touch those coordinates. That doesn't give you a nice clean edge, but it is really easy.
a=5;
b=a;
c=10;
u = (0:0.05*pi:pi)'; %'
v = [0:0.05*pi:2*pi];
X = a*sin(u)*cos(v);
Y = a*sin(u)*sin(v);
Z = c*cos(u)*ones(size(v));
Z(Z>0)=0; % cut upper
V1=4/3*pi*a*b*c;
d=1/2;
e=2^d;
a2=a/e;
b2=a/e;
c2=c;
V2=4/3*pi*a2*b2*c2;
X2 = a2*sin(u)*cos(v);%-2.5;
Y2 = b2*sin(u)*sin(v);
Z2 = c2*cos(u)*ones(size(v));%+0.25;
Z2(Z2>0)=0; % cut
h=1/3;
hS1=surf(X,Y,Z);
alpha(.11)
hold on
hS2=surf(X2,Y2,Z2);
hold off
axis([-20 20 -20 20 -20 20]);
for j = 1:20
k1=(sin(pi*j/20)+0.5)^h;
a=a*k1;
c=c*k1;
X = a*sin(u)*cos(v);
Y = a*sin(u)*sin(v);
Z = c*cos(u)*ones(size(v));
Z(Z>0)=0;
a2=a2*k1;
b2=a2*k1;
c2=c2*k1;
X2 = a2*sin(u)*cos(v)+5;%-2.5;
Y2 = b2*sin(u)*sin(v);
Z2 = c2*cos(u)*ones(size(v));%+0.25;
Z2(Z2>0)=0;
set(hS1,'XData',X,'YData',Y,'ZData',Z);
% substitute into implicit form of 1st ellipsoid
d = (X2.^2) / a^2 + (Y2.^2) / a^2 + (Z2.^2) / c^2;
% and zap any that are outside [0 1]
X2(d>1) = nan;
Y2(d>1) = nan;
Z2(d>1) = nan;
set(hS2,'XData',X2,'YData',Y2,'ZData',Z2);
drawnow;
F(j) = getframe;
end
movie(F,4)
Note that I also changed the range of u. That's because you were actually drawing 2 copies of the surface. That was causing some problems with how the transparency was rendered.