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Geometric Statistics

The Geometric Statistics module adds a couple of image statistic variables centered around image geometry. These variables can then be used in RoboRealm conditional statement, VBScript module or exported to external programs using RoboRealm Extensions.

Interface

Variables

AREA - the number of non-black (0,0,0) pixels in the current image

ANGLE - the orientation angle of the blob

COG_X, COG_Y - the center of gravity of the blob

PERIMETER - the number of pixels that surround non black blobs

AP_RATIO - AREA / PERIMETER, determines how round an image is; also known as "Perimeter Equivalent Diameter".

EQUIV_DIAMETER - the diameter of a circle with the same area as the region. Calculated as sqrt(4*Area/pi)

COMPACTNESS - (PERIMETER*PERIMETER) / AREA : ratio of the square of the perimeter to the area; also known as "shape".

COMPACTNESS_2 - sqrt(4*AREA/PI) / FERET : alternate compactness measure

CIRCULARITY - 4*PI*AREA/(PERIMETER*PERIMETER), measure of circularity.

CIRCULARITY_2 - alternate measure of circularity.

CIRCULARITY_3 - MIN_RADIUS/MAX_RADIUS : another alternate measure of circularity.

MAX_RADIUS - radius of enclosing circle around center of gravity

MIN_RADIUS - radius of enclosed circle around center of gravity

FERET - Feret's diameter also known as the caliper length or largest axis length: the greatest distance between any two non-zero pixels

FERET_AREA - FERET * BREATH; also know as Feret's bounding box

FERET_ORIENTATION - orientation of the Feret's diameter in degrees

FERET_FIRST_X
FERET_FIRST_Y
FERET_SECOND_X
FERET_SECOND_Y
- points that makeup the Feret diameter

BREATH - the largest axis perpendicular to the Feret diameter

ROUNDNESS - 4*AREA/(Pi*(FERET*FERET)), measure of roundness

MIN_X - minimum bounding box x coordinate

MIN_Y - minimum bounding box y coordinate

MAX_X - maximum bounding box x coordinate

MAX_Y - maximum bounding box y coordinate

EXTENT - proportion of the pixels in the bounding box that are also in the region. Calculated as (blob area / bounding box area).

TOP_LEFT_X
TOP_LEFT_Y
TOP_RIGHT_X
TOP_RIGHT_Y
RIGHT_TOP_X
RIGHT_TOP_Y
RIGHT_BOTTOM_X
RIGHT_BOTTOM_Y
BOTTOM_LEFT_X
BOTTOM_LEFT_Y
BOTTOM_RIGHT_X
BOTTOM_RIGHT_Y
LEFT_TOP_X
LEFT_TOP_Y
LEFT_BOTTOM_X
LEFT_BOTTOM_Y
- the extrema points of the image

FERET_ASPECT_RATIO - FERET/BREATH

BOX_ASPECT_RATIO - (MAX_X-MIN_X)/(MAX_Y-MIN_Y)

Note that you can highlight the appropriate statistics and press CTRL-C to copy the information to your clipboard. This information can then be pasted into Excel or other statistics programs.

See Also


Center of Gravity
Moments of Inertia
Color Statistics


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