regiongrowing_nregiongrowing_nRegiongrowingNRegiongrowingNregiongrowing_n (Operator)

Name

regiongrowing_nregiongrowing_nRegiongrowingNRegiongrowingNregiongrowing_n — Segment an image using regiongrowing for multi-channel images.

Signature

Description

regiongrowing_nregiongrowing_nRegiongrowingNRegiongrowingNregiongrowing_n performs a multi-channel regiongrowing. The channels give rise to an n-dimensional feature vector. Neighboring points are aggregated into the same region if the difference of their feature vectors with respect to the given metric lies in the interval [MinToleranceMinToleranceMinToleranceminTolerancemin_tolerance, MaxToleranceMaxToleranceMaxTolerancemaxTolerancemax_tolerance]. Only neighbors of the 4-neighborhood are examined. The following metrics can be used:

Let denote the gray value in the feature vector at point of the image, and likewise be the gray value in the feature vector at point a neighboring point . Let be the gray value with index . Furthermore, let denote MinToleranceMinToleranceMinToleranceminTolerancemin_tolerance and denote MaxToleranceMaxToleranceMaxTolerancemaxTolerancemax_tolerance.

'1-norm':

Sum of absolute values

'2-norm':

Euclidean distance

'3-norm':

p - Norm with p = 3

'4-norm':

p - Norm with p = 4

'n-norm':

Minkowski distance

'max-diff':

Supremum distance

'min-diff':

Infimum distance

'variance':

Variance of gray value differences

'dot-product':

Dot product

'correlation':

Correlation

'mean-diff':

Difference of arithmetic means

'mean-ratio':

Ratio of arithmetic means

'length-diff':

Difference of the vector lengths

'length-ratio':

Ratio of the vector lengths

'n-norm-ratio':

Ratio of the vector lengths w.r.t the p-norm with p = n

'gray-max-diff':

Difference of the maximum gray values

'gray-max-ratio':

Ratio of the maximum gray values

'gray-min-diff':

Difference of the minimum gray values

'gray-min-ratio':

Ratio of the minimum gray values

'variance-diff':

Difference of the variances over all gray values (channels)

'variance-ratio':

Ratio of the variances over all gray values (channels)

'mean-abs-diff':

Difference of the sum of absolute values over all gray values (channels)

'mean-abs-ratio':

Ratio of the sum of absolute values over all gray values (channels)

'max-abs-diff':

Difference of the maximum distance of the components

'max-abs-ratio':

Ratio of the maximum distance of the components

'min-abs-diff':

Difference of the minimum distance of the components

'min-abs-ratio':

Ratio of the minimum distance of the components