Kirsch operator
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The Kirsch operator or Kirsch compass kernel is a non-linear edge detector that finds the maximum edge strength in a few predetermined directions. It is named after the computer scientist Russell Kirsch.
The Kirsch operator or Kirsch compass kernel is a non-linear edge detector that finds the maximum edge strength in a few predetermined directions. It is named after the computer scientist Russell Kirsch. h_{n,m}=\max_{z=1,\dots,8}\sum_{i=-1}^1\sum_{j=-1}^1g_{ij}^{(z)}\cdot f_{n+i,m+j} where z enumerates the compass direction kernels g: \mathbf{g^{(1)}} = \begin{bmatrix} +5 & +5 & +5 \\ -3 & 0 & -3 \\ -3 & -3 & -3 \end{bmatrix},\ \mathbf{g^{(2)}} = \begin{bmatrix} +5 & +5 & -3 \\ +5 & 0 & -3 \\ -3 & -3 & -3 \end{bmatrix},\ \mathbf{g^{(3)}} = \begin{bmatrix} +5 & -3 & -3 \\ +5 & 0 & -3 \\ +5 & -3 & -3 \end{bmatrix},\ \mathbf{g^{(4)}} = \begin{bmatrix} -3 & -3 & -3 \\ +5 & 0 & -3 \\ +5 & +5 & -3 \end{bmatrix} and so on. The edge direction is defined by the mask that produces the maximum edge magnitude. File:Boxfilter pavilion original.jpg|Original File:Kirschfilter_maximum.jpg|Maximum gradient in the 8 directions File:Kirschfilter3.jpg|Image filtered with g (1) File:Kirschfilter2.jpg|Image filtered with g (2) File:Kirschfilter1.jpg|Image filtered with g (3) File:Kirschfilter8.jpg|Image filtered with g (4) File:Kirschfilter7.jpg|Image filtered with g (5) File:Kirschfilter6.jpg|Image filtered with g (6) File:Kirschfilter5.jpg|Image filtered with g (7) File:Kirschfilter4.jpg|Image filtered with g (8)
Text derived from https://en.wikipedia.org/w/index.php?oldid=1349754843 under CC BY-SA 4.0; modifications have been made.