The Euler Number Study of Image and Its Application

Euler number of image is one of the most important characteristics in digital topology and its computing method is an unceasing exploration. In order to understand the essence of Euler number, the connectivity of the binary image was deeply studied in this paper. A formula was proposed as the relationship between the Euler number and the neighbor number of foreground run based on the two new concepts. Different from the traditional description of pixels and connectivity, it is a new idea to calculate the Euler number based on local computation, and it can also be applied to calculate the number of irregular objects.