Calculate second moment of volume

Calculates the 2nd moment of volume (SMV) by multiplying the volume of each triangle in the mesh by its centroids' distance from the origin (should be set to the attachment point of the mesh). The sum of these values is the 2nd moment of volume. Axis is z by default, meaning it will calculate the vertical second moment, but this can be changed if needed. This metric is size-dependent so to compare moments in terms of shape only, set scale = TRUE.

Usage

smv(mesh, axis = "z", scale = FALSE, origin = TRUE)

Arguments

mesh

A triangular mesh of class mesh3d.

axis

The axis along which to calculate the second moment of volume z is the default.

scale

Logical. Scale the object to have a volume = 1? Default = TRUE.

origin

Logical. Set the origin to the bottom left corner of bounding box? Default = FALSE

Value

SMV value.

Examples

smv(mcap)
#> [1] 0.0005450781