how to draw three graphics on the same figure? - matlab

That's how I draw two graphics (thanks for guys who helped me to do that):
clear
logsFolder = 'C:\logs\';
stocks = {'log'};
for stock = stocks
filename = [logsFolder stock{1} '.log'];
fLog = fopen(filename);
data = textscan(fLog, '%f:%f:%f:%f %f %f %f');
fclose(fLog);
% hh:min:sec:millisec
secvec = [60*60 60 1 1e-3];
x = [data{1:4}] * secvec';
y = data{5};
yPrice = data{6};
xindays = x / (24*60*60);
figure;
[AX,H1,H2] = plotyy(xindays,y,xindays,yPrice);
set(AX(1),'xtick',[]);
lo1 = min(y);
hi1 = max(y);
lo2 = min(yPrice);
hi2 = max(yPrice);
if (hi2/lo2 > hi1/lo1)
ylim(AX(1),[lo1 hi2/lo2 * lo1]);
ylim(AX(2),[lo2 hi2]);
else
ylim(AX(1),[lo1 hi1]);
ylim(AX(2),[lo2 hi1/lo1 * lo2]);
end
ticklabelformat(AX(2),'y','%g')
ticklabelformat(AX(2),'x',{#tick2datestr,'x','HH:MM:SS'})
title(stock);
% iNeedToDrawThat = data{7}
end
Input file example is available here As you can see my file contains the last column which I also want to display. The range should be from 0 (at the bottom of figure) to the maximum value (at the up of the graph). So I need to draw three graphics somehow. It's ok to omit axis with labels for the third graph as I already have two axis and I have no place to add third one. However it's ok to "overlap" two axis if possible.
I have no idea how to do that so I'm looking for your help.
I've tried that but it doesn't work:
figure;
[AX,H1,H2] = plotyy(xindays,y,xindays,yPrice);
hold on;
volume = data{7};
plot(xindays, volume);
hold off;

I have already mentioned a similar question in the comments, it should give you plenty of ideas...
Anyway, I've put together a solution to plot multiple y axes. Right now the code is a bit involved, but it should be possible to refactor a re-usable function out of it (like the addaxis function on the File Exchange).
The idea is to first plot each curve in a separate axis (all superimposed), and make them transparent (except the bottom one). Next we create copies of this set of axes and shift them along the x-direction. We also make those copies transparent, but now we can show the tick-marks along the y-axis of each. Finally we give them correct z-order, and link the x and y limits so that we can use the pan and zoom functionality.
%# read and parse data from file
fid = fopen('log.log','rt');
C = textscan(fid, '%s %f %f %f', 'CollectOutput',true);
fclose(fid);
dt = datenum(C{1}, 'HH:MM:SS:FFF');
data = C{2};
NUM = size(data,2);
%# create a wider figure
hFig = figure('Position',get(0,'DefaultFigurePosition').*[1 1 1.7 1]);
%# some properties
clr = lines(NUM);
bgClr = get(0,'DefaultFigureColor');
pos = get(0,'DefaultAxesPosition');
pp = 0.1; % shift in normalized units: pos(1)
%# create plot axes (make axis invisible)
hAx = zeros(NUM,1);
for i=1:NUM
hAx(i) = axes('Parent',hFig, 'Color','none', ...
'XColor',bgClr, 'YColor',bgClr, ...
'Units','normalized', 'Position',pos+[(NUM-1)*pp 0 -(NUM-1)*pp 0]);
line(dt, data(:,i), 'Color',clr(i,:), 'Parent',hAx(i))
end
axis(hAx, 'tight') %# tight x/y limits
%# create shifted copies of axes to show y-ticks
hAxx = zeros(size(hAx));
for i=1:NUM
hAxx(i) = copyobj(hAx(i), hFig);
delete(get(hAxx(i),'Children')); %# keep only axis
set(hAxx(i), 'YColor',clr(i,:), ...
'Units','normalized', 'Position',pos+[(NUM-i)*pp 0 -(NUM-i)*pp 0]);
ylabel(hAxx(i), sprintf('Axis %d',i))
end
xlabel(hAxx(1), 'datetime')
title(hAxx(1), 'Log')
datetick(hAxx(1), 'x', 'HH:MM', 'keeplimits')
%# set 1st axis copy as current axis
set(hFig, 'CurrentAxes',hAxx(1))
%# adjust ticks of axes
set(hAx(1), 'Color','w') %# give white bg to 1st axis
set(hAxx(1), 'XColor','k') %# show xticks of 1st axis copy
set(hAxx(2:end), 'XTick',[], 'XTickLabel',[])
set(hAx, 'XTick',[], 'XTickLabel',[], 'YTick',[], 'YTickLabel',[])
%# fix z-order
for i=3:-1:1, uistack(hAxx(i),'top'), end
uistack(hAx(1), 'bottom')
%# link x/y limits so that panning/zooming works
lh = cell(NUM+1,1);
for i=1:NUM
lh{i} = linkprop([hAxx(i);hAx(i)], 'YLim');
end
lh{end} = linkprop([hAxx;hAx], 'XLim');
The result:
The panning/zooming is a bit funny, you have to initiate them by starting to drag from the side (the shifted colored axes). This is because the first one (corresponding to the blue line) is the one on top, thus catches all mouse clicks.
Note: I see you are using a custom function ticklabelformat, which I haven't tested in combination with the above code. I will leave that part to you..
HTH

sample use of hold on
figure;
plot(x1,y1);
hold on
plot(x2,y2);
plot(x3,y3);
hold off
do "figure" and "hold on" only once outside the loop. then plot all the graphs you need

figure;
[AX,H1,H2] = plotyy(xindays,y,xindays,yPrice);
hold on;
volume = data{7};
plot(xindays, volume);
hold off;
if you do it the way you suggested using hold on, i.e. use plotyy() first then the axes won't adjust so if you 3rd series is out of the range of your first set of axes then it won't appear. Try just flipping them and see if that produces a result?
volume = data{7};
plot(xindays, volume);
hold on;
[AX,H1,H2] = plotyy(xindays,y,xindays,yPrice);
This way the axes should adjust
For example:
t = 1:10;
x = t*2;
y = t*-2;
z = x + 1000;
Now compare
plot(t,z, 'r')
hold on
plotyy(t,x, t,y)
to
plotyy(t,x, t,y)
hold on
plot(t,z, 'r')

Related

Using roof of a graph as x-axis for another

I've plotted a graph using pcolor which gives me the following graph-
My aim is to use the roof of the graph (by roof) I mean the highest axis (in this case, the line which is defined by y=57) as the base for a further graph.
I was able to use hold on to generate the following-
Code for this (removed some parts that defined the axis labels etc for brevity)-
load sparsemap ;
load d ;
residues = 57 ;
z = zeros(residues,residues); % define the matrix
index = find(sparsemap(:,3) ~= 0) ;
values = length(index);
hold on
%Plots the map you see in the first photo-
for k = 1:values
z(sparsemap(index(k),1),sparsemap(index(k),2)) = sparsemap(index(k),3);
z(sparsemap(index(k),2),sparsemap(index(k),1)) = sparsemap(index(k),3);
end
%Plots the line plot at the bottom of the graph.
A = d(:,1);
B = d(:,2) ;
plot(A, B) ;
pcolor(1:residues,1:residues,z);
works = load('colormap_works');
colormap(works);
colorbar;
As you can see, the line plot is using the same x axis as the first graph.
I am trying to get the line plot to come on top of the figure. I imagine a final figure like so-
Any ideas as to how I can use the top part of the first graph?
You can use 2 subplots. Here is an example:
data = randi(50,20,20); % some data for the pcolor
y = mean(data); % some data for the top plot
subplot(5,1,2:5) % create a subplot on the lower 4/5 part for the figure
pcolor(data) % plot the data
colormap hot;
h = colorbar('east'); % place the colorbar on the right
h.Position(1) = 0.94; % 'push' the colorbar a little more to the right
ax = gca;
pax = ax.Position; % get the position for further thightning of the axes
ax.YTick(end) = []; % delete the highest y-axis tick so it won't interfere
% with the first tick of the top plot
subplot(5,1,1) % create a subplot on the upper 1/5 part for the figure
plot(1:20,y) % plot the top data
ylim([0 max(y)]) % compact the y-axis a little
ax = gca;
ax.XAxis.Visible = 'off'; % delete the x-axis from the top plot
ax.Position(2) = pax(2)+pax(4); % remove the space between the subplots
Which creates this:

Matlab plot label individually

I would like to make individual label for each and every tick in matlab plot. I could do this by
xtick = [1, 10, 20];
xticklabels = {'January', 'February', 'December'};
set(gca, 'XTick', xtick);
set(gca, 'XTickLabel', xticklabels);
As the strings are very long, I would like to make them in a slanting way. So I would be very happy, if anyone could help me in displaying the label in a slanting way.
Thanks
I once had a somewhat similar problem and I found an example on Matlab answers by The Mathworks. Basically you create text objects with your labels and rotate them. Otherwise there is a submission on the File Exchange here that looks pretty nice. Hope that helps!
clear
clc
% Generate some test data. Assume that the X-axis represents months.
x = 1:12;
y = 10*rand(1,length(x));
% Plot the data.
h = plot(x,y,'+');
% Reduce the size of the axis so that all the labels fit in the figure.
pos = get(gca,'Position');
set(gca,'Position',[pos(1), .2, pos(3) .65])
% Add a title.
title('This is a title')
% Set the X-Tick locations so that every other month is labeled.
Xt = 1:2:11;
Xl = [1 12];
set(gca,'XTick',Xt,'XLim',Xl);
% Add the months as tick labels.
months = ['Jan';
'Feb';
'Mar';
'Apr';
'May';
'Jun';
'Jul';
'Aug';
'Sep';
'Oct';
'Nov';
'Dec'];
ax = axis; % Current axis limits
axis(axis); % Set the axis limit modes (e.g. XLimMode) to manual
Yl = ax(3:4); % Y-axis limits
% Place the text labels
t = text(Xt,Yl(1)*ones(1,length(Xt)),months(1:2:12,:));
set(t,'HorizontalAlignment','right','VerticalAlignment','top', ...
'Rotation',45);
% Remove the default labels
set(gca,'XTickLabel','')
% Get the Extent of each text object. This
% loop is unavoidable.
for i = 1:length(t)
ext(i,:) = get(t(i),'Extent');
end
% Determine the lowest point. The X-label will be
% placed so that the top is aligned with this point.
LowYPoint = min(ext(:,2));
% Place the axis label at this point
XMidPoint = Xl(1)+abs(diff(Xl))/2;
tl = text(XMidPoint,LowYPoint,'X-Axis Label', ...
'VerticalAlignment','top', ...
'HorizontalAlignment','center');

Draw log graph curve on Matlab by clicking?

I'd like to draw a curve on an empty (semilog-y) graph by clicking the points I want it to run through, on the X-Y plane.
Is there a function for this?
edit: I'm trying to do this by obtaining the position of last pointer click -
axis([0 3000 0 1000]);
co=get(gcf, 'CurrentPoint');
It seems to return the cursor position at the time of execution, but it does not change later.
edit2: Here's what works for me. The actual drawing I can do by using the arrays of points collected.
clear
clc
h=plot(0);
grid on;
xlim([0 3000]);
ylim([0 1000]);
datacursormode on;
% Enlarge figure to full screen.
screenSize = get(0,'ScreenSize');
set(gcf, 'units','pixels','outerposition', screenSize);
hold on;
% Print the x,y coordinates - will be in plot coordinates
x=zeros(1,10); y=zeros(1,10);
for p=1:10;
[x(p),y(p)] = ginput(1) ;
% Mark where they clicked with a cross.
plot(x(p),y(p), 'r+', 'MarkerSize', 20, 'LineWidth', 3);
% Print coordinates on the plot.
label = sprintf('(%.1f, %.1f)', x(p), y(p));
text(x(p)+20, y(p), label);
end
Not really, but now there is:
function topLevel
%// parameters
xrange = [0 100];
yrange = [1e-4 1e4];
%// initialize figure, plot
figure, clf, hold on
plot(NaN, NaN);
axis([xrange yrange]);
set(gca, 'YScale', 'log')
t = text(sum(xrange)/2, sum(yrange)/2, ...
'<< Need at least 3 points >>',...
'HorizontalAlignment', 'center');
%// Main loop
xs = []; p = [];
ys = []; P = [];
while true
%// Get new user-input, and collect all of them in a list
[x,y] = ginput(1);
xs = [xs; x]; %#ok<AGROW>
ys = [ys; y]; %#ok<AGROW>
%// Plot the selected points
if ishandle(p)
delete(p); end
p = plot(xs, ys, 'rx');
axis([xrange yrange]);
%// Fit curve through user-injected points
if numel(xs) >= 3
if ishandle(t)
delete(t); end
%// Get parameters of best-fit in a least-squares sense
[A,B,C] = fitExponential(xs,ys);
%// Plot the new curve
xp = linspace(xrange(1), xrange(end), 100);
yp = A + B*exp(C*xp);
if ishandle(P)
delete(P); end
P = plot(xp,yp, 'b');
end
end
%// Fit a model of the form y = A + B·exp(C·x) to data [x,y]
function [A, B, C] = fitExponential(x,y)
options = optimset(...
'maxfunevals', inf);
A = fminsearch(#lsq, 0, options);
[~,B,C] = lsq(A);
function [val, B,C] = lsq(A)
params = [ones(size(x(:))) x(:)] \ log(abs(y-A));
B = exp(params(1));
C = params(2);
val = sum((y - A - B*exp(C*x)).^2);
end
end
end
Note that as always, fitting an exponential curve can be tricky; the square of the difference between model and data is exponentially much greater for higher data values than for lower data values, so there will be a strong bias to fit the higher values better than the lower ones.
I just assumed a simple model and used a simple solution, but this gives a biased curve which might not be "optimal" in the sense that you need it to be. Any decent solution really depends on what you want specifically, and I'll leave that up to you ^_^

Drawing the major and minor axis of an elliptical object in MATLAB

This program currently inputs an image of a coin, thresholds it, binarizes it, and finds the major and minor axis lengths of the segmented elliptical using the regionprops function. How do I output a subplot where I draw the axes used to calculate the 'MajorAxisLength' and 'MinorAxisLength' over the original image?
I have appended my code for your perusal.
% Read in the image.
folder = 'C:\Documents and Settings\user\My Documents\MATLAB\Work';
baseFileName = 'coin2.jpg';
fullFileName = fullfile(folder, baseFileName);
fullFileName = fullfile(folder, baseFileName);
if ~exist(fullFileName, 'file')
fullFileName = baseFileName; % No path this time.
if ~exist(fullFileName, 'file')
%Alert user.
errorMessage = sprintf('Error: %s does not exist.', fullFileName);
uiwait(warndlg(errorMessage));
return;
end
end
rgbImage = imread(fullFileName);
% Get the dimensions of the image. numberOfColorBands should be = 3.
[rows columns numberOfColorBands] = size(rgbImage);
% Display the original color image.
subplot(2, 3, 1);
imshow(rgbImage, []);
title('Original color Image', 'FontSize', fontSize);
% Enlarge figure to full screen.
set(gcf, 'Position', get(0,'Screensize'));
% Extract the individual red color channel.
redChannel = rgbImage(:, :, 1);
% Display the red channel image.
subplot(2, 3, 2);
imshow(redChannel, []);
title('Red Channel Image', 'FontSize', fontSize);
% Binarize it
binaryImage = redChannel < 100;
% Display the image.
subplot(2, 3, 3);
imshow(binaryImage, []);
title('Thresholded Image', 'FontSize', fontSize);
binaryImage = imfill(binaryImage, 'holes');
labeledImage = bwlabel(binaryImage);
area_measurements = regionprops(labeledImage,'Area');
allAreas = [area_measurements.Area];
biggestBlobIndex = find(allAreas == max(allAreas));
keeperBlobsImage = ismember(labeledImage, biggestBlobIndex);
measurements = regionprops(keeperBlobsImage,'MajorAxisLength','MinorAxisLength')
% Display the original color image with outline.
subplot(2, 3, 4);
imshow(rgbImage);
hold on;
title('Original Color Image with Outline', 'FontSize',fontSize);
boundaries = bwboundaries(keeperBlobsImage);
blobBoundary = boundaries{1};
plot(blobBoundary(:,2), blobBoundary(:,1), 'g-', 'LineWidth', 1);
hold off;
I had the same task as you for some project I did 2 years ago. I've modified the code I used then for you below. It involved calculating the covariance matrix for the datapoints and finding their eigenvalues/eigenvectors. Note here that because of circular symmetry, the minor and major axis will be somewhat "random". Also note that I have made the image binary in a very naïve way to keep the code simple.
% Load data and make bw
clear all;close all; clc;
set(0,'Defaultfigurewindowstyle','docked')
I = imread('american_eagle_gold_coin.jpg');
Ibw = im2bw(I,0.95);
Ibw = not(Ibw);
figure(1);clf
imagesc(Ibw);colormap(gray)
%% Calculate axis and draw
[M N] = size(Ibw);
[X Y] = meshgrid(1:N,1:M);
%Mass and mass center
m = sum(sum(Ibw));
x0 = sum(sum(Ibw.*X))/m;
y0 = sum(sum(Ibw.*Y))/m;
%Covariance matrix elements
Mxx = sum(sum((X-x0).^2.*Ibw))/m;
Myy = sum(sum((Y-y0).^2.*Ibw))/m;
Mxy = sum(sum((Y-y0).*(X-x0).*Ibw))/m;
MM = [Mxx Mxy; Mxy Myy];
[U S V] = svd(MM);
W = V(:,1)/sign(V(1,1)); %Extremal directions (normalized to have first coordinate positive)
H = V(:,2);
W = 2*sqrt(S(1,1))*W; %Scaling of extremal directions to give ellipsis half axis
H = 2*sqrt(S(2,2))*H;
figure(1)
hold on
plot(x0,y0,'r*');
quiver(x0,y0,W(1),H(1),'r')
quiver(x0,y0,W(2),H(2),'r')
hold off
Look at the documentation for the Orientation attribute that regionprops() can return to you.
This gives the angle between the positive x-axis and the major axis of the ellipse. You should be able to derive the equation for the major axis line in terms of that angle, and then just make a grid of x-axis points, and compute the major axis line's value for all the points in your grid, then just plot it like you would plot any other curve in MATLAB.
To do the same for the minor axis, just note that it will be 90 degrees further counter-clockwise from the major axis, then repeat the step above.
Usually one does it with computing eigenvectors, as explained in the Wikipedia article Image moment under 'examples'. That would be the correct way.
But I wonder, if you know the centroid and the boundingbox from MATLAB, then the endpoint of the major axis must be in the upper left or upper right corner. So checking (apart from noise) these two corners, if there are pixel, would give you the major axis. The minor axis then is just orthogonal to it with respect to the centroid.
Sorry for not having MATLAB code ready.
The reasoning is not that wrong, but not so good either, using the orientation as written above is better ;)

Creating a point moving along a graph in MATLAB

I am looking to create a simple log(x) graph within MATLAB in which the model shows the point moving along the curve with time.
The overall aim is to have two of these graphs alongside one another and to apply an algorithm to them. I am really unsure where to start here.
I am relatively new at MATLAB coding so any help would be very useful!
Thanks
Luke
Here is a variation on #Jacob's solution. Instead of redrawing everything at each frame (clf) we simply update the point's location:
%# control animation speed
DELAY = 0.01;
numPoints = 600;
%# create data
x = linspace(0,10,numPoints);
y = log(x);
%# plot graph
figure('DoubleBuffer','on') %# no flickering
plot(x,y, 'LineWidth',2), grid on
xlabel('x'), ylabel('y'), title('y = log(x)')
%# create moving point + coords text
hLine = line('XData',x(1), 'YData',y(1), 'Color','r', ...
'Marker','o', 'MarkerSize',6, 'LineWidth',2);
hTxt = text(x(1), y(1), sprintf('(%.3f,%.3f)',x(1),y(1)), ...
'Color',[0.2 0.2 0.2], 'FontSize',8, ...
'HorizontalAlignment','left', 'VerticalAlignment','top');
%# infinite loop
i = 1; %# index
while true
%# update point & text
set(hLine, 'XData',x(i), 'YData',y(i))
set(hTxt, 'Position',[x(i) y(i)], ...
'String',sprintf('(%.3f,%.3f)',[x(i) y(i)]))
drawnow %# force refresh
%#pause(DELAY) %# slow down animation
i = rem(i+1,numPoints)+1; %# circular increment
if ~ishandle(hLine), break; end %# in case you close the figure
end
A simple solution is:
x = 1:100;
y = log(x);
DELAY = 0.05;
for i = 1:numel(x)
clf;
plot(x,y);
hold on;
plot(x(i),y(i),'r*');
pause(DELAY);
end
You may want to have a look at the COMET function, which will make an animation of the curve.
For example (using the same numbers as #Jacob)
x = 1:100;
y = log(x);
comet(x,y)
If you want to show the point moving on the line (not 'drawing' it), you simply plot the line before
x = 1:100;
y = log(x);
plot(x,y,'r')
hold on %# to keep the previous plot
comet(x,y,0) %# 0 hides the green tail
a little more complex solution along the same lines as #Jacob. Here I add some optimization using handle graphics and a MATLAB movie object for playback.
x=1:100;
y=log(x);
figure
plot(x,y);
hold on; % hold on so that the figure is not cleared
h=plot(x(1),y(1),'r*'); % plot the first point
DELAY=.05;
for i=1:length(x)
set(h,'xdata',x(i),'ydata',y(i)); % move the point using set
% to change the cooridinates.
M(i)=getframe(gcf);
pause(DELAY)
end
%% Play the movie back
% create figure and axes for playback
figure
hh=axes;
set(hh,'units','normalized','pos',[0 0 1 1]);
axis off
movie(M) % play the movie created in the first part
solution can be this way
x = .01:.01:3;
comet(x,log(x))