This chapter contains operators that allow you to access the different
features of regions.
In the following, the available features are illustrated.
'area'"area""area""area""area""area":
Area of the object
'row'"row""row""row""row""row":
Row index of the center
'column'"column""column""column""column""column":
Column index of the center
'row1'"row1""row1""row1""row1""row1":
Row index of upper left corner
'column1'"column1""column1""column1""column1""column1":
Column index of upper left corner
'row2'"row2""row2""row2""row2""row2":
Row index of lower right corner
'column2'"column2""column2""column2""column2""column2":
Column index of lower right corner
'width'"width""width""width""width""width":
Width of the region (parallel to the coordinate axis)
'height'"height""height""height""height""height":
Height of the region (parallel to the coordinate axis)
'circularity'"circularity""circularity""circularity""circularity""circularity":
Circularity (see circularitycircularityCircularityCircularityCircularitycircularity)
'compactness'"compactness""compactness""compactness""compactness""compactness":
Compactness (see compactnesscompactnessCompactnessCompactnessCompactnesscompactness)
'contlength'"contlength""contlength""contlength""contlength""contlength":
Total length of contour (see operator contlengthcontlengthContlengthContlengthContlengthcontlength)
'convexity'"convexity""convexity""convexity""convexity""convexity":
Convexity (see convexityconvexityConvexityConvexityConvexityconvexity)
'rectangularity'"rectangularity""rectangularity""rectangularity""rectangularity""rectangularity":
Rectangularity (see rectangularityrectangularityRectangularityRectangularityRectangularityrectangularity)
'ra'"ra""ra""ra""ra""ra":
Main radius of the equivalent ellipse (see elliptic_axiselliptic_axisEllipticAxisEllipticAxisEllipticAxiselliptic_axis)
'rb'"rb""rb""rb""rb""rb":
Secondary radius of the equivalent ellipse (see elliptic_axiselliptic_axisEllipticAxisEllipticAxisEllipticAxiselliptic_axis)
'phi'"phi""phi""phi""phi""phi":
Orientation of the equivalent ellipse
see elliptic_axiselliptic_axisEllipticAxisEllipticAxisEllipticAxiselliptic_axis)
'anisometry'"anisometry""anisometry""anisometry""anisometry""anisometry":
Anisometry (see eccentricityeccentricityEccentricityEccentricityEccentricityeccentricity)
'bulkiness'"bulkiness""bulkiness""bulkiness""bulkiness""bulkiness":
Bulkiness (see operator eccentricityeccentricityEccentricityEccentricityEccentricityeccentricity)
'struct_factor'"struct_factor""struct_factor""struct_factor""struct_factor""struct_factor":
Structure Factor (see operator eccentricityeccentricityEccentricityEccentricityEccentricityeccentricity)
'outer_radius'"outer_radius""outer_radius""outer_radius""outer_radius""outer_radius":
Radius of smallest surrounding circle (see smallest_circlesmallest_circleSmallestCircleSmallestCircleSmallestCirclesmallest_circle)
'inner_radius'"inner_radius""inner_radius""inner_radius""inner_radius""inner_radius":
Radius of largest inner circle (see inner_circleinner_circleInnerCircleInnerCircleInnerCircleinner_circle)
'inner_width'"inner_width""inner_width""inner_width""inner_width""inner_width":
Width of the largest axis-parallel rectangle that fits into the region
(see inner_rectangle1inner_rectangle1InnerRectangle1InnerRectangle1InnerRectangle1inner_rectangle1)
'inner_height'"inner_height""inner_height""inner_height""inner_height""inner_height":
Height of the largest axis-parallel rectangle that fits into the region
(see inner_rectangle1inner_rectangle1InnerRectangle1InnerRectangle1InnerRectangle1inner_rectangle1)
'dist_mean'"dist_mean""dist_mean""dist_mean""dist_mean""dist_mean":
Mean distance from the region border to the center (see operator
roundnessroundnessRoundnessRoundnessRoundnessroundness)
'dist_deviation'"dist_deviation""dist_deviation""dist_deviation""dist_deviation""dist_deviation":
Deviation of the distance from the region border to the center
(see operator roundnessroundnessRoundnessRoundnessRoundnessroundness)
'roundness'"roundness""roundness""roundness""roundness""roundness":
Roundness (see operator roundnessroundnessRoundnessRoundnessRoundnessroundness)
'num_sides'"num_sides""num_sides""num_sides""num_sides""num_sides":
Number of polygon sides (see operator roundnessroundnessRoundnessRoundnessRoundnessroundness)
'connect_num'"connect_num""connect_num""connect_num""connect_num""connect_num":
Number of connection components (see operator connect_and_holesconnect_and_holesConnectAndHolesConnectAndHolesConnectAndHolesconnect_and_holes)
'holes_num'"holes_num""holes_num""holes_num""holes_num""holes_num":
Number of holes (see operator connect_and_holesconnect_and_holesConnectAndHolesConnectAndHolesConnectAndHolesconnect_and_holes)
'area_holes'"area_holes""area_holes""area_holes""area_holes""area_holes":
Area of the holes of the object (see operator area_holesarea_holesAreaHolesAreaHolesAreaHolesarea_holes)
'max_diameter'"max_diameter""max_diameter""max_diameter""max_diameter""max_diameter":
Maximum diameter of the region (see operator diameter_regiondiameter_regionDiameterRegionDiameterRegionDiameterRegiondiameter_region)
'orientation'"orientation""orientation""orientation""orientation""orientation":
Orientation of the region (see operator orientation_regionorientation_regionOrientationRegionOrientationRegionOrientationRegionorientation_region)
'euler_number'"euler_number""euler_number""euler_number""euler_number""euler_number":
Euler number (see operator euler_numbereuler_numberEulerNumberEulerNumberEulerNumbereuler_number)
'rect2_phi'"rect2_phi""rect2_phi""rect2_phi""rect2_phi""rect2_phi":
Orientation of the smallest surrounding rectangle (see operator
smallest_rectangle2smallest_rectangle2SmallestRectangle2SmallestRectangle2SmallestRectangle2smallest_rectangle2)
'rect2_len1'"rect2_len1""rect2_len1""rect2_len1""rect2_len1""rect2_len1":
Half the length of the smallest surrounding rectangle
(see operator smallest_rectangle2smallest_rectangle2SmallestRectangle2SmallestRectangle2SmallestRectangle2smallest_rectangle2)
'rect2_len2'"rect2_len2""rect2_len2""rect2_len2""rect2_len2""rect2_len2":
Half the width of the smallest surrounding rectangle
(see operator smallest_rectangle2smallest_rectangle2SmallestRectangle2SmallestRectangle2SmallestRectangle2smallest_rectangle2)
'moments_m11'"moments_m11""moments_m11""moments_m11""moments_m11""moments_m11":
Geometric moments of the region
(see operator moments_region_2ndmoments_region_2ndMomentsRegion2ndMomentsRegion2ndMomentsRegion2ndmoments_region_2nd)
'moments_m20'"moments_m20""moments_m20""moments_m20""moments_m20""moments_m20":
Geometric moments of the region
(see operator moments_region_2ndmoments_region_2ndMomentsRegion2ndMomentsRegion2ndMomentsRegion2ndmoments_region_2nd)
'moments_m02'"moments_m02""moments_m02""moments_m02""moments_m02""moments_m02":
Geometric moments of the region
(see operator moments_region_2ndmoments_region_2ndMomentsRegion2ndMomentsRegion2ndMomentsRegion2ndmoments_region_2nd)
'moments_ia'"moments_ia""moments_ia""moments_ia""moments_ia""moments_ia":
Geometric moments of the region
(see operator moments_region_2ndmoments_region_2ndMomentsRegion2ndMomentsRegion2ndMomentsRegion2ndmoments_region_2nd)
'moments_ib'"moments_ib""moments_ib""moments_ib""moments_ib""moments_ib":
Geometric moments of the region
(see operator moments_region_2ndmoments_region_2ndMomentsRegion2ndMomentsRegion2ndMomentsRegion2ndmoments_region_2nd)
'moments_m11_invar'"moments_m11_invar""moments_m11_invar""moments_m11_invar""moments_m11_invar""moments_m11_invar":
Geometric moments of the region
(see operator moments_region_2nd_invarmoments_region_2nd_invarMomentsRegion2ndInvarMomentsRegion2ndInvarMomentsRegion2ndInvarmoments_region_2nd_invar)
'moments_m20_invar'"moments_m20_invar""moments_m20_invar""moments_m20_invar""moments_m20_invar""moments_m20_invar":
Geometric moments of the region
(see operator moments_region_2nd_invarmoments_region_2nd_invarMomentsRegion2ndInvarMomentsRegion2ndInvarMomentsRegion2ndInvarmoments_region_2nd_invar)
'moments_m02_invar'"moments_m02_invar""moments_m02_invar""moments_m02_invar""moments_m02_invar""moments_m02_invar":
Geometric moments of the region
(see operator moments_region_2nd_invarmoments_region_2nd_invarMomentsRegion2ndInvarMomentsRegion2ndInvarMomentsRegion2ndInvarmoments_region_2nd_invar)
'moments_phi1'"moments_phi1""moments_phi1""moments_phi1""moments_phi1""moments_phi1":
Geometric moments of the region
(see operator moments_region_2nd_rel_invarmoments_region_2nd_rel_invarMomentsRegion2ndRelInvarMomentsRegion2ndRelInvarMomentsRegion2ndRelInvarmoments_region_2nd_rel_invar)
'moments_phi2'"moments_phi2""moments_phi2""moments_phi2""moments_phi2""moments_phi2":
Geometric moments of the region
(see operator moments_region_2nd_rel_invarmoments_region_2nd_rel_invarMomentsRegion2ndRelInvarMomentsRegion2ndRelInvarMomentsRegion2ndRelInvarmoments_region_2nd_rel_invar)
'moments_m21'"moments_m21""moments_m21""moments_m21""moments_m21""moments_m21":
Geometric moments of the region
(see operator moments_region_3rdmoments_region_3rdMomentsRegion3rdMomentsRegion3rdMomentsRegion3rdmoments_region_3rd)
'moments_m12'"moments_m12""moments_m12""moments_m12""moments_m12""moments_m12":
Geometric moments of the region
(see operator moments_region_3rdmoments_region_3rdMomentsRegion3rdMomentsRegion3rdMomentsRegion3rdmoments_region_3rd)
'moments_m03'"moments_m03""moments_m03""moments_m03""moments_m03""moments_m03":
Geometric moments of the region
(see operator moments_region_3rdmoments_region_3rdMomentsRegion3rdMomentsRegion3rdMomentsRegion3rdmoments_region_3rd)
'moments_m30'"moments_m30""moments_m30""moments_m30""moments_m30""moments_m30":
Geometric moments of the region
(see operator moments_region_3rdmoments_region_3rdMomentsRegion3rdMomentsRegion3rdMomentsRegion3rdmoments_region_3rd)
'moments_m21_invar'"moments_m21_invar""moments_m21_invar""moments_m21_invar""moments_m21_invar""moments_m21_invar":
Geometric moments of the region
(see operator moments_region_3rd_invarmoments_region_3rd_invarMomentsRegion3rdInvarMomentsRegion3rdInvarMomentsRegion3rdInvarmoments_region_3rd_invar)
'moments_m12_invar'"moments_m12_invar""moments_m12_invar""moments_m12_invar""moments_m12_invar""moments_m12_invar":
Geometric moments of the region
(see operator moments_region_3rd_invarmoments_region_3rd_invarMomentsRegion3rdInvarMomentsRegion3rdInvarMomentsRegion3rdInvarmoments_region_3rd_invar)
'moments_m03_invar'"moments_m03_invar""moments_m03_invar""moments_m03_invar""moments_m03_invar""moments_m03_invar":
Geometric moments of the region
(see operator moments_region_3rd_invarmoments_region_3rd_invarMomentsRegion3rdInvarMomentsRegion3rdInvarMomentsRegion3rdInvarmoments_region_3rd_invar)
'moments_m30_invar'"moments_m30_invar""moments_m30_invar""moments_m30_invar""moments_m30_invar""moments_m30_invar":
Geometric moments of the region
(see operator moments_region_3rd_invarmoments_region_3rd_invarMomentsRegion3rdInvarMomentsRegion3rdInvarMomentsRegion3rdInvarmoments_region_3rd_invar)
'moments_i1'"moments_i1""moments_i1""moments_i1""moments_i1""moments_i1":
Geometric moments of the region
(see operator moments_region_centralmoments_region_centralMomentsRegionCentralMomentsRegionCentralMomentsRegionCentralmoments_region_central)
'moments_i2'"moments_i2""moments_i2""moments_i2""moments_i2""moments_i2":
Geometric moments of the region
(see operator moments_region_centralmoments_region_centralMomentsRegionCentralMomentsRegionCentralMomentsRegionCentralmoments_region_central)
'moments_i3'"moments_i3""moments_i3""moments_i3""moments_i3""moments_i3":
Geometric moments of the region
(see operator moments_region_centralmoments_region_centralMomentsRegionCentralMomentsRegionCentralMomentsRegionCentralmoments_region_central)
'moments_i4'"moments_i4""moments_i4""moments_i4""moments_i4""moments_i4":
Geometric moments of the region
(see operator moments_region_centralmoments_region_centralMomentsRegionCentralMomentsRegionCentralMomentsRegionCentralmoments_region_central)
'moments_psi1'"moments_psi1""moments_psi1""moments_psi1""moments_psi1""moments_psi1":
Geometric moments of the region
(see operator moments_region_central_invarmoments_region_central_invarMomentsRegionCentralInvarMomentsRegionCentralInvarMomentsRegionCentralInvarmoments_region_central_invar)
'moments_psi2'"moments_psi2""moments_psi2""moments_psi2""moments_psi2""moments_psi2":
Geometric moments of the region
(see operator moments_region_central_invarmoments_region_central_invarMomentsRegionCentralInvarMomentsRegionCentralInvarMomentsRegionCentralInvarmoments_region_central_invar)
'moments_psi3'"moments_psi3""moments_psi3""moments_psi3""moments_psi3""moments_psi3":
Geometric moments of the region
(see operator moments_region_central_invarmoments_region_central_invarMomentsRegionCentralInvarMomentsRegionCentralInvarMomentsRegionCentralInvarmoments_region_central_invar)
'moments_psi4'"moments_psi4""moments_psi4""moments_psi4""moments_psi4""moments_psi4":
Geometric moments of the region
(see operator moments_region_central_invarmoments_region_central_invarMomentsRegionCentralInvarMomentsRegionCentralInvarMomentsRegionCentralInvarmoments_region_central_invar)