Perim

pixels

Perimeter calculated from the centres of the boundary pixels

Area

pixels^{2}

The area inside the polygon defined by the perimeter

MinR

pixels

Radius of the inscribed circle centred at the centre of mass

MaxR

pixels

Radius of the enclosing circle centred at the centre of mass

Feret

pixels

Largest axis length

Breadth

pixels

The largest axis perpendicular to the Feret diameter

CHull

pixels

Convex Hull or convex polygon calculated from pixel centres

CArea

pixels^{2}

Area of the Convex Hull polygon

MBCRadius

pixels

Radius of the Minimal Bounding Circle

AspRatio

none

Aspect Ratio = Feret/Breadth

Circ

none

Circularity = 4*π*Area/Perimeter^{2}, also called form factor

Roundness

none

Roundness = 4*Area/(π*Feret^{2})

AreaEquivD

pixels

Area of circle with equivalent diameter = sqrt((4/π)*Area)

PerimEquivD

none

Perimeter of circle with equivalent diameter = Area/π

EquivEllipseAr

pixels^{2}

Equivalent Ellipse Area = (π*Feret*Breadth)/4

Compactness

none

Compactness: sqrt((4/π)*Area)/Feret

Solidity

none

Solidity = Area/Convex_Area

Concavity

pixels^{2}

Concavity = Convex_Area  Area

Convexity

none

Convexity = Convex_Hull/Perimeter

Shape

none

Shape = Perimeter^{2}/Area

RFactor

none

RFactor = Convex_Hull/(Feret*π)

ModRatio

none

Modification Ratio = (2*MinR)/Feret

Sphericity

none

Sphericity = MinR/MaxR

ArBBox

pixels^{2}

ArBBox = Feret*Breadth, area of the box along Feret diameter

Rectang

none

Rectangularity = Area/ArBBox
