FACES2VERTS Averages data from each face over each of its vertices

Usage Notes

Consider the mesh given by the below:

    1 ----- 2
   / \ 600 / \
  /   \   /   \
 / 300 \ / 900 \
3 ----- 4 ----- 5

The IDs of each vertex and the data at each face are shown (this is the same example as in the first example below). There are two ways to interpolate the data from faces to vertices: 1. Each face distributes 1/3 of its value to each of its vertices (this preserves the total sum across the mesh); 2. Each vertex is the average of the data on its faces (this could also be a weighted average e.g. weighted by area of each face).

This function implements the first method.

Examples

faces2verts([1 3 4; 1 4 2; 2 4 5], [300;600;900])
assert(isequal(faces2verts([1 3 4; 1 4 2; 2 4 5], [300;600;900]), [300;500;100;600;300]))
faces = [1 2 3; 2 3 4; 3 4 6]; faceData = 1:3; faces2verts(faces, faceData)
faces = [1 2 3; 2 3 4; 3 4 6]; faceData = 1:3; faces2verts(faces, faceData, 7)

TODO

• docs

Authors

Mehul Gajwani, Monash University, 2024