Eccentricity, Max radius and max radius position, Min radius and min radius position – Banner PresencePLUS P4 Series User Manual
Page 119: 4 analysis tools, Eccentricity7.3.2.6.2.6 eccentricity

The table below gives a more practical perspective on how to interpret these results. If the camera is configured
to convert pixels to other units, the major and minor axis lengths will be given in those units. The major axis
angle is always given in degrees.
Meaning of Major Axis
angle
Meaning of Minor Axis
Length
Meaning of Major Axis
Length
Blob Shape
unstable
equal to the major axis
length
diameter of the circle
circular, no holes
orientation of the ellipse
width of the ellipse
length of the ellipse
elliptical, no holes
unstable
equal to the major axis
length
diameter of a circle that
best approximates the
square
square, no holes
orientation of the rectangle
width of an ellipse that
best approximates the
rectangle
length of an ellipse that
best approximates the
rectangle
rectangular, no holes
orientation of the
shape-unstable if length
and with are nearly equal
width of an ellipse that
best approximates the
shape
length of an ellipse that
best approximates the
shape
complicated shape, no
holes
results vary depending on
exact shape-experiment
on your particular shape
results vary depending on
exact shape-experiment
on your particular shape
results vary depending on
exact shape-experiment
on your particular shape
any shape with holes
Eccentricity
The eccentricity of a blob is defined as the length of the major axis divided by the length of the minor axis. For
circular regions and other regions with radial symmetry (like a square), the value will be very close to 1. For
elongated regions, the value will grow, possibly becoming quite large.
Max Radius and Max Radius Position
These results are equivalent to those for the minimum radius, but they refer to the pixel on the perimeter of
the blob that is farthest from the centroid .
Min Radius and Min Radius Position
The minimum radius of a blob is the distance from the centroid of the blob to the closest pixel on that blob's
perimeter. The minimum radius position gives the pixel coordinates of that closest perimeter point. If the blob
contains unfilled holes, the minimum radius position may be on the perimeter of a hole. If the camera is
configured to convert pixels to other units, the minimum radius (but not the minimum radius position) will be
given in those units.
7.4 Analysis Tools
Analysis tools analyze the information gathered with the Vision tools to create measurements and tolerances
for the Vision tools.
Analysis Tools
119
Banner Engineering Corp. - Minneapolis, MN USA - www.bannerengineering.com
Tel: 763.544.3164
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PresencePLUS Software Tools
7/2009