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3D graphs - plots and volumes in Matlab

 

Three-dimensional plots (or 3D graphs) can be created by this numerical software.

Matlab provides many facilities for visualization of 3D information or data (x, y, z). The facilities include built-in functions for plotting wire-frame objects, space-curves, shaded surfaces.

Also, automatic generation of contours, volumetric data display, light sources, interpolation of colors and displaying externally-created images.

Typing ‘help graph3d’ in the command window gives a list of functions available for general 3D graphs.

This is a kind of ‘catalog’ of the most popular 3D graphics functions.

You can use these instructions for your needs simply by following the examples. The ‘meshgrid’ function must be first understood.


Examples:

plot3

t = 0 : .01 : 1;

x = 2*t;

y = -0.5*t.^2;

z1 = t.^3/2;

z2 = t.^3/.5;

plot3(x,y,z1,'b', x,y,z2,'r')

grid

 

3D graphs - plot3

fill3

x = [0 2.5; 5 2.5; 5 2.5; 0 2.5];

y = [0 0; 0 -1; 0 -1; 0 0];

z = [0 0; 0 0; 2 2; 2 2];

fill3(x,y,z, rand(4,2))

xlabel('x'); ylabel('y'); zlabel('z');

view(120, 50)

grid

 

3D graphs - fill3

contour3

X = -3:.1:3;

[x,y] = meshgrid(X,X);

z = 1./(3+x.^2+y.^2);

contour3(z)

xlabel('x'); ylabel('y');

 

3d images - contour3

surf

X = -3 : .1 : 3;

[x,y] = meshgrid(X,X);

z = 1./(3+x.^2+y.^2);

surf(z)

xlabel('x'); ylabel('y');

 

 

 

3d visualization - surface

surfc

X = -3 : .1 : 3;

[x,y] = meshgrid(X,X);

z = 1./(3+x.^2+y.^2);

surfc(z)

view(-30,20)

xlabel('x'); ylabel('y');

 

3d graphs - surfaces and contours

surfl

X = -3 : .1 : 3;

[x,y] = meshgrid(X,X);

z = 1./(3+x.^2+y.^2);

surfl(z)

shading interp

colormap hot

xlabel('x'); ylabel('y');

 

3d images - surfaces

mesh

X = -2 : .1 : 2;

[x,y] = meshgrid(X,X);

z = 5./(1+x.^2+y.^2);

mesh(z)

xlabel('x'); ylabel('y');

 

3d graphs - mesh

waterfall

X = -3 : .1 : 3;

[x,y] = meshgrid(X,X);

z = -1./(1+x.^2+y.^2);

waterfall(z)

hidden off

xlabel('x'); ylabel('y');

 

3d graphs - waterfall effect

pie3

data = [10 23 35 32];

pie3(data)

title('Important Data')

 

pie chart - pie 3D

ribbon

x = 0 : .1 : 4*pi;

y = cos(x);

ribbon(x,y,.1)

 

3d - ribbons

sphere

sphere(45)

axis 'equal'

 

spheres - 3d graphs in Matlab

cylinder

z = 0: .03 : 1;

r = cos(4*pi*z)+2;

cylinder(r)

 

cylinder shapes in matlab - 3D graphs

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