Image Processing Toolbox

Finding the Euler Number of a Binary Image

The bweuler function returns the Euler number for a binary image. The Euler number is a measure of the topology of an image. It is defined as the total number of objects in the image minus the number of holes in those objects. You can use either 4- or 8-connected neighborhoods.

This example computes the Euler number for the circuit image, using 8-connected neighborhoods.

• BW1 = imread('circbw.tif'); 
  eul = bweuler(BW1,8)
  
  eul =
  
     -85
  

In this example, the Euler number is negative, indicating that the number of holes is greater than the number of objects.

Finding the Area of Binary Images

Lookup Table Operations