Kirsch-Operator

The Kirsch operator is a nonlinear edge detector which provides as edge strength of a pixel, the most pronounced gradient. If thereby only eight discrete directions, starting from 0 °, as seen in 45 ° increments.

Analytical description

An analytical description is possible as follows:

Wherein the component in the (i 2) line and the ( j 2) column of the matrix respectively.

The matrices are the direction template

Sample Images

Maximum gradient of 8 directions

Image filtered with g2

Image filtered with g3

Image filtered with g4

Image filtered with g6

Image filtered with g7

Image filtered with g8

• Edge detection