regiongrowing_n (Operator)

Name

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

Signature

regiongrowing_n(MultiChannelImage : Regions : Metric, MinTolerance, MaxTolerance, MinSize : )

Description

regiongrowing_n performs a multi-channel regiongrowing. The n 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 [MinTolerance, MaxTolerance]. Only neighbors of the 4-neighborhood are examined. The following metrics can be used:

Let g_{A} denote the gray value in the feature vector A at point a of the image, and likewise be g_{B} the gray value in the feature vector B at point a neighboring point b. Let g(d) be the gray value with index d. Furthermore, let MinT denote MinTolerance and MaxT denote MaxTolerance.

'1-norm':

Sum of absolute values

'2-norm':

Euclidian 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