Region Growing - Region-based Segmentation

Region-based Segmentation

The main goal of segmentation is to partition an image into regions. Some segmentation methods such as "Thresholding" achieve this goal by looking for the boundaries between regions based on discontinuities in gray levels or color properties. Region-based segmentation is a technique for determining the region directly. The basic formulation for Region-Based Segmentation is:

is a logical predicate defined over the points in set and is the null set.

(a) means that the segmentation must be complete; that is, every pixel must be in a region.

(b) requires that points in a region must be connected in some predefined sense.

(c) indicates that the regions must be disjoint.

(d) deals with the properties that must be satisfied by the pixels in a segmented region. For example if all pixels in have the same gray level.

(e) indicates that region and are different in the sense of predicate .

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