Operators

# compactness (Operator)

## Name

compactness — Shape factor for the compactness of a region.

## Signature

compactness(Regions : : : Compactness)

## Description

The operator compactness calculates the compactness of the input regions.

Calculation:

If L is the length of the contour (see contlength) and F the area of the region the shape factor C is defined as:

C = max(1,C')

In the documentation of the operator region_features, you can find an image illustrating regions which vary in their compactness.

The shape factor C of a circle is 1. If the region is long or has holes C is larger than 1. The operator compactness responds to the course of the contour (roughness) and to holes. The value of C is clipped to 1.0, because the pixel area of a region can only be an approximation of a real circle's area. This approximation error is bigger for small regions than for large regions.

In case of an empty region the operator compactness returns the value 0 if no other behavior was set (see set_system). If more than one region is passed the numerical values of the shape factor are stored in a tuple, the position of a value in the tuple corresponding to the position of the region in the input tuple.

## Parallelization

• Multithreading type: reentrant (runs in parallel with non-exclusive operators).
• Automatically parallelized on tuple level.

## Parameters

Regions (input_object)  region(-array) object

Region(s) to be examined.

Compactness (output_control)  real(-array) (real)

Compactness of the input region(s).

Assertion: Compactness >= 1.0 || Compactness == 0

## Result

The operator compactness returns the value 2 (H_MSG_TRUE) if the input is not empty. The behavior in case of empty input (no input regions available) is set via the operator set_system('no_object_result',<Result>). The behavior in case of empty region (the region is the empty set) is set via set_system('empty_region_result',<Result>). If necessary an exception is raised.