7.3. Region descriptors
So far, we have concentrated on descriptions of the perimeter, or boundary. The natural counterpart is to describe the region, or the area, by regional shape descriptors. Here, there are two main contenders that differ in focus: basic regional descriptors characterise the geometric properties of the region; moments concentrate on density of the region. First though, we shall look at the simpler descriptors.
7.3.1. Basic region descriptors
A region can be described by considering scalar measures based on its geometric properties. The simplest property is given by its size or area. In general, the area of a region in the plane is defined as
(7.66)
where ...
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