MATLAB Laboratory 09/23/10 Lecture. Chapters 5 and 9: Plotting
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1 MATLAB Laboratory 09/23/10 Lecture Chapters 5 and 9: Plotting Lisa A. Oberbroeckling Loyola University Maryland loberbroeckling@loyola.edu L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 1 / 21
2 Examples of Plots used in Lectures 5 4 y=1/x y= 2x L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 2 / 21
3 Examples of Plots used in Lectures x=2y y x=y 2 6y L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 3 / 21
4 Examples of Plots used in Lectures z y x L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 4 / 21
5 Examples of Plots used in Lectures Example z y 5 5 x L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 5 / 21
6 Plots Where linspace(0,2*pi) or 0:pi/60:2*pi (for example) comes in handy! L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 6 / 21
7 Plots Where linspace(0,2*pi) or 0:pi/60:2*pi (for example) comes in handy! Also where dot operations are needed L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 6 / 21
8 Plots Where linspace(0,2*pi) or 0:pi/60:2*pi (for example) comes in handy! Also where dot operations are needed Look at plotex# m-files on the H-drive Basic commands: plot(x,y), L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 6 / 21
9 Plots Where linspace(0,2*pi) or 0:pi/60:2*pi (for example) comes in handy! Also where dot operations are needed Look at plotex# m-files on the H-drive Basic commands: plot(x,y), plot3(x,y,z), L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 6 / 21
10 Plots Where linspace(0,2*pi) or 0:pi/60:2*pi (for example) comes in handy! Also where dot operations are needed Look at plotex# m-files on the H-drive Basic commands: plot(x,y), plot3(x,y,z), surf(x,y,z), L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 6 / 21
11 Plots Where linspace(0,2*pi) or 0:pi/60:2*pi (for example) comes in handy! Also where dot operations are needed Look at plotex# m-files on the H-drive Basic commands: plot(x,y), plot3(x,y,z), surf(x,y,z), mesh(x,y,z). L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 6 / 21
12 Plots Where linspace(0,2*pi) or 0:pi/60:2*pi (for example) comes in handy! Also where dot operations are needed Look at plotex# m-files on the H-drive Basic commands: plot(x,y), plot3(x,y,z), surf(x,y,z), mesh(x,y,z). Useful command: clf: clears the current figure L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 6 / 21
13 Plots Where linspace(0,2*pi) or 0:pi/60:2*pi (for example) comes in handy! Also where dot operations are needed Look at plotex# m-files on the H-drive Basic commands: plot(x,y), plot3(x,y,z), surf(x,y,z), mesh(x,y,z). Useful command: clf: clears the current figure There are other ways to plot, like using fplot or ezplot L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 6 / 21
14 Plotting Plot commands basically connect-the-dots and you have to tell MATLAB which dots to connect, and how to connect them. L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 7 / 21
15 Plotting Plot commands basically connect-the-dots and you have to tell MATLAB which dots to connect, and how to connect them. Thus you have more control, so can make parametric plots, or plots with x as a function of y, much easier than on graphing calculators or other packages. L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 7 / 21
16 Plotting Plot commands basically connect-the-dots and you have to tell MATLAB which dots to connect, and how to connect them. Thus you have more control, so can make parametric plots, or plots with x as a function of y, much easier than on graphing calculators or other packages L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 7 / 21
17 Basic Plot Basic example: plotex1a.m x=-2:2; plot(x,x.^2) L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 8 / 21
18 Basic Plot Basic example: plotex1a.m x=-2:2; plot(x,x.^2) What s wrong with this plot? L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 8 / 21
19 Basic Plot Basic example: plotex1a.m x=-2:2; plot(x,x.^2) What s wrong with this plot? Look at plotex1av2.m for better ways to define x L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 8 / 21
20 Formatting Plots Line Specifiers (pages ): LineStyle LineColor MarkerType More formatting in Chapter 5: LineWidth, MarkerSize, etc. Look up and experiment with the different types! L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 9 / 21
21 More formatting Good commands axis L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 10 / 21
22 More formatting Good commands axis grid L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 10 / 21
23 More formatting Good commands axis grid xlabel, etc. L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 10 / 21
24 More formatting Good commands axis grid xlabel, etc. xlim, etc. L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 10 / 21
25 More formatting Good commands axis grid xlabel, etc. xlim, etc. title L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 10 / 21
26 More formatting Good commands axis grid xlabel, etc. xlim, etc. title text L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 10 / 21
27 More formatting Good commands axis grid xlabel, etc. xlim, etc. title text legend L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 10 / 21
28 3D Plots To plot a space curve L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 11 / 21
29 3D Plots To plot a space curve Example r(t) = (3 cos t, 3 sin t, t) plot3(x,y,z) with x, y, z already defined as in 2D plots OR plot3(x,y,z, line specifiers, Property Name, prop values) Look at plotex3a.m L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 11 / 21
30 3D Plots (mesh/surface/contour, etc.) To plot z = f(x, y), 4 main steps 1 establish the domain for x and y L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 12 / 21
31 3D Plots (mesh/surface/contour, etc.) To plot z = f(x, y), 4 main steps 1 establish the domain for x and y 2 create grid in xy-plane L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 12 / 21
32 3D Plots (mesh/surface/contour, etc.) To plot z = f(x, y), 4 main steps 1 establish the domain for x and y 2 create grid in xy-plane 3 calculate z (z is calculated for each point in grid ) L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 12 / 21
33 3D Plots (mesh/surface/contour, etc.) To plot z = f(x, y), 4 main steps 1 establish the domain for x and y 2 create grid in xy-plane 3 calculate z (z is calculated for each point in grid ) 4 make the mesh, surface plots, etc. L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 12 / 21
34 Creating the grid using meshgrid Example Domain is 1 x 3, 1 y 4 L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 13 / 21
35 Creating the grid using meshgrid Example Domain is 1 x 3, 1 y 4 u = -1:3; v = 1:4; [x, y] = meshgrid(u,v) L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 13 / 21
36 Creating the grid using meshgrid Example Domain is 1 x 3, 1 y 4 u = -1:3; v = 1:4; [x, y] = meshgrid(u,v) (can use whatever letters, names you want) L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 13 / 21
37 Creating the grid using meshgrid Example Domain is 1 x 3, 1 y 4 u = -1:3; v = 1:4; [x, y] = meshgrid(u,v) (can use whatever letters, names you want) [x, y] are matrices of the x and y coords, respectively L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 13 / 21
38 Creating the grid using meshgrid Example Domain is 1 x 3, 1 y 4 u = -1:3; v = 1:4; [x, y] = meshgrid(u,v) (can use whatever letters, names you want) [x, y] are matrices of the x and y coords, respectively (u,v) are the vectors for the domain of x and y (created through linspace, etc) L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 13 / 21
39 Calculating z If you have already created a meshgrid using above example and letters and want to graph z = 3xy2 + 2 x 2 + y 2 L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 14 / 21
40 Calculating z If you have already created a meshgrid using above example and letters and want to graph z = 3xy2 + 2 x 2 + y 2 z = (3*x.*y.^2+2)./(x.^2 + y.^2); L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 14 / 21
41 Calculating z If you have already created a meshgrid using above example and letters and want to graph z = 3xy2 + 2 x 2 + y 2 z = (3*x.*y.^2+2)./(x.^2 + y.^2); Then can use mesh(x,y,z) L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 14 / 21
42 Calculating z If you have already created a meshgrid using above example and letters and want to graph z = 3xy2 + 2 x 2 + y 2 z = (3*x.*y.^2+2)./(x.^2 + y.^2); Then can use mesh(x,y,z) OR surf(x,y,z) (Those are the most common... there are others listed in the book) L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 14 / 21
43 Making the plots Good: xlabel( x ); ylabel( y ); zlabel( z ); title( title text ) L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 15 / 21
44 Making the plots Good: xlabel( x ); ylabel( y ); zlabel( z ); title( title text ) Notice the look: maybe should have had u = linspace(-1,3); v = linspace(1,4); L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 15 / 21
45 Making the plots Good: xlabel( x ); ylabel( y ); zlabel( z ); title( title text ) Notice the look: maybe should have had u = linspace(-1,3); v = linspace(1,4); Different plots mesh, surf meshz, meshc surfc, surfl waterfall contour, contour3 L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 15 / 21
46 View command view(az,el) OR view([az, el]) az = azimuth: angle (in degrees) in xy-plane measured relative to negative y-axis in COUNTERCLOCKWISE direction el = elevation: elevation angle (in degrees) from xy-plane L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 16 / 21
47 View command view(az,el) OR view([az, el]) az = azimuth: angle (in degrees) in xy-plane measured relative to negative y-axis in COUNTERCLOCKWISE direction el = elevation: elevation angle (in degrees) from xy-plane DEFAULT: az = 37.5, el = 30 L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 16 / 21
48 View command view(az,el) OR view([az, el]) az = azimuth: angle (in degrees) in xy-plane measured relative to negative y-axis in COUNTERCLOCKWISE direction el = elevation: elevation angle (in degrees) from xy-plane DEFAULT: az = 37.5, el = 30 projection plane az el xy (top) 0 90 xz (side) 0 0 yz (side) 90 0 L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 16 / 21
49 Contour Plots If want to create contour lines: contour(z,n) L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 17 / 21
50 Contour Plots If want to create contour lines: contour(z,n) n is the number of lines/levels you want L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 17 / 21
51 Contour Plots If want to create contour lines: contour(z,n) n is the number of lines/levels you want or contour3(z,n) or contourf(z,n) L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 17 / 21
52 Contour Plots If want to create contour lines: contour(z,n) n is the number of lines/levels you want or contour3(z,n) or contourf(z,n) If you want the levels to be labeled: [c, h] = contour(z, n); clabel(c, h); MATLAB help: Contour plots... labeling L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 17 / 21
53 Basic Plot Examples plotex1a.m: Basic example plotex1b.m: Basic fplot example plotex1c.m: Lots of command examples to format plot L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 18 / 21
54 Multiple Plot Examples plotex2a.m: Basic multiple plot example plotex2b.m: Using Line Specifiers plotex2c.m: Example of hold on, legends, etc. plotex2d.m: Using fplot and adding points plotex2e.m: More formatting, and adding manual axes L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 19 / 21
55 Using subplot plotex2f.m: Example of subplot using fplot plotex2g.m: Example where plot goes across cells plotex2h.m: Adding titles to subplots plotex2i.m: Example of subplot using plot and formatting the file for better viewing and editing L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 20 / 21
56 3D Plot Examples plotex3a.m: Space curve examples plotex3b.m: 3D surface (and mesh) examples L. Oberbroeckling (Loyola University) MATLAB 09/23/10 Lecture 21 / 21
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