
Kirsch-Operator
    
    Encyclopedia
    
        The Kirsch-operator is a non-linear
edge detector
that finds the maximum edge strength in a few predetermined directions.

where the direction kernels
 and so on.
        
    
Nonlinearity
In mathematics, a nonlinear system is one that does not satisfy the superposition principle, or one whose output is not directly proportional to its input; a linear system fulfills these conditions. In other words, a nonlinear system is any problem where the variable to be solved for cannot be...
edge detector
Edge detection
Edge detection is a fundamental tool in image processing and computer vision, particularly in the areas of feature detection and feature extraction, which aim at identifying points in a  digital image at which the image brightness changes sharply or, more formally, has discontinuities...
that finds the maximum edge strength in a few predetermined directions.
Mathematical description
The operator is calculated as follows for directions with 45° difference:
where the direction kernels
 and so on.
        
    
