pts = [ 0 0 0 1 NaN NaN 0.5 1 1 0 1.5 1]';Note that we end it with a transpose (') to make it 2 by M and with a semicolon so that it won't be printed out.
Once you have all the points typed in, save it as myfig.m.
Now to test it. Go to the command window and type myfig. This should load your data into MATLAB. If you have any problems, it may be that either you didn't save it or that you saved it where MATLAB can't find it. If you didn't save it, go back and save it. If MATLAB can't find it, you'll have to change your workspace (use the ... button at the top of the command window).
Now we can plot your name using
plot(pts(1,:),pts(2,:))You should see your figure. If you don't like what you see, go back and change your myfig.m file. If you want to get fancy, you can change the color and line width around using
plot(pts(1,:),pts(2,:),'Color',[0.3 0.8 0.2],'LineWidth',2)where the numbers after the keyword Color are the RGB values (0<=v<1) and the number after LineWidth is the width. If you repeatedly use a certain plot command, you might want to make a function out of it, like this:
function myplot(pts) % my hairy plotter plot(pts(1,:),pts(2,:),'Color',[0.3 0.8 0.2],'LineWidth',2) hold on plot(pts(1,:),pts(2,:),'k*') hold offCopy this to a new M-file and save as myplot.m, you run it by typing myplot(pts) in the Command Window.
Once you have myfig.m the way you want it, you should email the file to yourself or save it by some other means as we will be using it again tomorrow.
function newpts = transform(pts,T) % applies the (homogeneous) transformation T to the points in pts M = size(pts,2); % number of points pts = [pts;ones(1,M)]; % add 1s as 3rd coordinate newpts = T*pts; % apply T newpts = newpts(1:2,:); % strip off 3rd coordinateAfter you have saved the function, try this
T = [2 0 0; 0 2 0; 0 0 1]; myfig np = transform(pts,T); plot(pts(1,:),pts(2,:)) hold on plot(np(1,:),np(2,:),'r') hold offYou should see your name twice, once in blue and once twice the original size in red. The commands hold off/on tells MATLAB to erase or not erase a drawing before doing the next plot command.
Translation: T = [1 0 tx; 0 1 ty; 0 0 1];
Rotations: T = [cos(th) -sin(th) 0; sin(th) cos(th) 0; 0 0 1];
(Note: th must be in radians: radians = degrees*pi/180)
Scaling: T = [sx 0 0;0 sy 0; 0 0 1];
Reflection: T = [1 0 0;0 -1 0;0 0 1];
T1 =[1 0 1; 0 1 -1; 0 0 1]; T2 = [cos(pi/3) -sin(pi/3) 0; sin(pi/3) cos(pi/3) 0; 0 0 1]; T3 = [2 0 0;0 0.5 0; 0 0 1]; CT = T3*inv(T1)*T2*T1;This translates (x+1,y-1), rotates 60 degrees, translates back (x-1,y+1) and then scales (x*2, y*0.5)
If you are too lazy to make a transformation this way you can create random transformations by Tr = [randn(2,3); 0 0 1];
2. Create a transformation representing a translation and a rotation (you can choose the values and the order). Plot your name and copies of your name after the transformation has been applied 1, 2, 3 and 4 times.
3. Construct 3 different basic transformations of 3 different types. Construct the 6 different complex transformations formed by applying the 3 basics in all the possible different orders, for example T123 = T1*T2*T3, T132 = T1*T3*T2, etc. Plot your name and copies of your name under each of these 6 transformations.
n = 24; % number of frames (you can use more or less) axis(myaxis) M = moviein(n); for j=1:n % put your plot commands here, before the axis command axis(myaxis) M(:,j) = getframe; % captures whatever is on the graph endThe command axis off removes the axis markings.
To play your movie, you just type movie(M) or movie(M,10) or movie(M,-10). The first version plays it once, the second 10 times, the third plays it forward and backward.