Worksheet Classification-c06-ws01

Subjects:

Mathematics

Objectives:

In this exercise you can learn

• how to make use of the correlation and covariance subjects in classification.

Prerequisite:

• The Frequency Distribution
• The Relative Frequency Distribution
• Measures of Value
• Measures of Spread
• The Multi-Dimensional Frequency Distribution
• Covariance and Correlation

Materials:

• Excel 97 software or similar
• Image Processing Software ILWIS (download from http://52north.org/)
• Image of the Middelfart area, Denmark
• Data file containing signatures for training areas shown on the Middelfart image
• Binary file of the Middelfart image

Time needed:

2 school lessons

Procedure:

1. Open Excel 97 or similar software
   
   
2. Import the text file (Never done this before? - Follow this link: How to import text files into Excel)
   
   
3. Once you have created a spreadsheet display the class means in scattergrams for each combination of the three bands in the data and plot the standard deviations for each class in the scattergrams.
   
   
4. Create three graphs depicting the three combinations of three bands. Plot the class means on each graph. Then plot the standard deviations in the x and y directions on each graph, for each class. Plot the axes of the ellipses where the correlation is the tangent of the smaller of the two angles, from the x and the y axes respectively.
   
   
5. Open ILWIS
   
   
6. Import the binary file and display the image. The image details are number of columns = 1247, number of bands = 3, Byte data, BSQ format, Convert to an ILWIS file.