Feret's diameters

• Breadth3d
• FeretDiameter
• FeretInputX
• FeretInputY
• FeretOutputX
• FeretOutputY
• FeretShape3d
• FeretShape
• Length3d
• Length
• LengthOrientation
• Width3d
• Width
• WidthOrientation
• WidthOrientTheta
• WidthOrientPhi

Description

Feret's diameter is defined as the distance between two parallel tangents of a particle on a given direction like the measurement by a caliper (see Figure 1). This definition is extended to 3D with the distance between two tangent planes.

Figure 1: Figure 1: Feret's diameter

Feret's diameters are computed along all directions which can determine the minimum, the mean and the maximum. By default the distribution of Feret diameter is made up of :

• 2D case : sampling of 10 angles from 0 to 162 degree with a step of 18 degree.
• 3D case : sampling of 31 angles. The orientations are defined by the couple of angles from spherical coordinates .

Figure 2: Figure 2: Azimuthal and polar angles

In 3D the distribution is computed to get the predefined number of angles regularly spreaded around the upper part of the unit sphere.

Figure 3: Figure 3: Example of a distribution of 3D angles