As far as I know var point = object.geometry.vertices[i]; will return with the relative position for the x, y and z of th
Recent versions of Three.js (v50+) provide this functionality built into the THREE.Object3D class. In particular, to get the world coordinates of a local THREE.Vector3 instance named vector, use the localToWorld method:
object.localToWorld( vector );
Similarly, there is a worldToLocal method for converting world coordinates into local coordinates, which is slightly more complicated, mathematically speaking. To translate a world vector into the objects local coordinate space:
object.worldToLocal( vector );