Each triangle distributes one-third of its area to each of its three
vertices. Triangle area is computed via the cross-product formula.
Usage
vertex_areas(vertices, faces)
Arguments
- vertices
Numeric matrix (n x 3) of vertex coordinates.
- faces
Integer matrix (m x 3) of face indices (1-indexed).
Value
Numeric vector of length nrow(vertices).
Examples
vertices <- matrix(c(0, 1, 0, 0, 0, 1, 0, 0, 0), nrow = 3, byrow = TRUE)
faces <- matrix(c(1L, 2L, 3L), nrow = 1)
vertex_areas(vertices, faces)
#> [1] 0.1666667 0.1666667 0.1666667
