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3D Simple Animation

In this short article we’re going to experiment with simple animation in 3D using Matlab.

In the first experiment, we are going to work with a sphere and are going to rotate our view angle without changing any size. In the second experiment, we’re going to draw a paraboloid, change its size and rotate. These basic techniques are the foundation of 3D animation with Matlab.

1. Working with a sphere

In this experiment we’re going to draw a sphere and make sure that the axis box keeps its proportions correctly. Then, we’re going to rotate our view angle, i.e., the azimuth and elevation. We are neither moving the sphere itself nor resizing it, we’re just changing our perspective (angle).

Instruction ‘drawnow’ is used to update the current figure. It ‘flushes the event queue’ and forces Matlab to update the screen.

The code that accomplishes this is the following:

clear; clc; close all

% Draw a sphere
% Make the current axis box square in size

% Define title and labels for reference
title('Rotation of a sphere...')
'x'); ylabel('y'); zlabel('z')

% Modify azimuth (horizontal rotation) and update drawing
for az = -50 : .2 : 30
view(az, 40)


% Modify elevation (vertical rotation) and update drawing
for el = 40 : -.2 : -30
view(30, el)


So we start with this figure:

simple animation 3D - starting

and after the two soft rotations we end with an image like this:

simple animation 3D - end

2. Working with a paraboloid

In our second experiment, we’re going to work with a paraboloid. We first draw it and make sure that the axes have the correct fixed sizes for our purposes. We stretch the figure little-by-little and actually see the change in dimensions. We just update the ‘z’ values within a loop using the function ‘set’ (used to modify the handle graphics properties). Finally, we rotate the azimuth of the figure to achive another view of the box. That’s how we achieve this simple animation in 3D.

The code is the following:

clear; clc; close all

% Define paraboloid
X = -2 : .1 : 2; Y = X;
[x, y] = meshgrid(X, Y);
z = .5 * (x.^2 + y.^2);

% Draw 3D figure, keep track of its handle
h = surf(x,y,z);
% Keep axes constant
axis([-2 2 -2 2 0 20])

% Define title and labels for reference
xlabel('x'); ylabel('y'); zlabel('z')

% Stretch paraboloid and show updates
for i = 1 : .1 : 5;
'xdata', x, 'ydata', y, 'zdata', i*z)


% Modify azimuth (horizontal rotation) and update drawing
for az = -37.5 : .5 : 30
view(az, 30)


We start with this view:

paraboloid - simple animation in 3D

And we end up with this one:

paraboloid 3D animation

These are our first experiments with 3D animations.

From 'Simple Animation 3D' to home

From 'Simple Animation 3D' to 3D Menu


2D animations

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