Calculate signed volume of triangle — svol

Calculates the signed volume of a triangle based on a set of XYZCoords. Signed volume means that volumes can take on a negative value depending on whether the surface normal of the triangle is facing towards or away from the origin. When all positive and negative volumes are integrated across the entire mesh, these values cancel out so that the final volume is an approximation of the total volume of the mesh.

Usage

svol_triangle(XYZCoords)

Arguments

XYZCoords: A dataframe with XYZ coordinates of three points in following order: X1,X2,X3,Y1,Y2,Y3,Z1,Z2,Z3

Value

Value for the signed volume of a triangle.

Examples

svol_triangle(c(X1 = 1, X2 = 2, X3 = 3 , Y1 = 1, Y2 = 2, Y3 = 1, Z1 = 1, Z2 = 1, Z3 = 1))
#>         X3 
#> -0.3333333