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This example shows several techniques to visualize four dimensional (4-D) data in MATLAB®.
Visualize 4-D Data with One Discrete Variable
Sometimes data has a variable which is discrete with only a few possible values. You can create multiple plots of the same type for data in each discrete group. For example, use the stem3 function to see the relationship between three variables where the fourth variable divides the population into discrete groups.
Visualize 4-D Data with Multiple Plots
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With a large data set you might want to see if individual variables are correlated. You can use the plotmatrix function to create an n by n matrix of plots to see the pair-wise relationships between the variables. The plotmatrix function returns two outputs. The first output is a matrix of the line objects used in the scatter plots. The second is a matrix of the axes objects that are created.
The plotmatrix function can also be used for higher order data sets.
Visualize Function of Three Variables
For many kinds of four dimensional data, you can use color to represent the fourth dimension. This works well if you have a function of three variables.
For example, represent highway deaths in the United States as a function of longitude, latitude, and if the location is rural or urban. The x, y, and z values in the plot represent these three variables. The color represents the number of highway deaths.
Visualize Data in a Volume
Your data may contain a measured value for a physical object such as temperature in a pipe. In this cases, the physical dimensions can be represented as a volume with color used to represent the magnitude of the measurement. For example, use the slice function to show the value of the measured variable at cross-sections within the volume.
Plot the Function of a Complex Variable
A complex function has an input with real and imaginary parts and an output with real and imaginary parts. You can use a three dimensional plot with color to represent the complex function. In this case the x and y axes represent the real and imaginary parts of the input. The z axis represents the real part of the output and the color represents the imaginary part of the output.
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