Operator Reference
eccentricity (Operator)
eccentricity
— Shape features derived from the ellipse parameters.
Signature
eccentricity(Regions : : : Anisometry, Bulkiness, StructureFactor)
Description
The operator eccentricity
calculates the three shape features
Anisometry
, Bulkiness
, and StructureFactor
for the given Regions
:
where Ra and Rb denote the ellipse radii (see elliptic_axis
)
and A denotes the area of the region (see area_center
).
In the documentation of this chapter (Regions / Features), you can find an image illustrating regions which vary in their anisometry, bulkiness and structure factor.
If more than one region is passed the results are stored in tuples, the index of a value in the tuple corresponding to the index of a region in the input.
In case of empty region all parameters have the value 0.0 if no other
behavior was set (see set_system
).
Attention
It should be noted that, like for all region-moments-based
operators, the region's pixels are regarded as mathematical,
infinitely small points that are represented by the center of the
pixels (see the documentation of elliptic_axis
). This can
lead to non-empty regions that have Rb
= 0. In
these cases, the output features that require a division by
Rb
are set to 0. In particular, regions that
contain a single point or regions whose points lie exactly on a
straight line (e.g., one pixel high horizontal regions or one pixel
wide vertical regions) have an anisometry of 0.
Execution Information
- Multithreading type: reentrant (runs in parallel with non-exclusive operators).
- Multithreading scope: global (may be called from any thread).
- Automatically parallelized on tuple level.
Parameters
Regions
(input_object) region(-array) →
object
Region(s) to be examined.
Anisometry
(output_control) real(-array) →
(real)
Shape feature (in case of a circle = 1.0).
Assertion:
Anisometry >= 1.0
Bulkiness
(output_control) real(-array) →
(real)
Calculated shape feature.
StructureFactor
(output_control) real(-array) →
(real)
Calculated shape feature.
Complexity
If F is the area of the region the mean runtime complexity is O(sqrt(F)).
Result
The operator eccentricity
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.
Possible Predecessors
threshold
,
regiongrowing
,
connection
See also
elliptic_axis
,
moments_region_2nd
,
select_shape
,
area_center
Module
Foundation