pijk=Vuijk(
pu,pv)+
f(
dijk2)·
w{right arrow over (n)}??(4)
where the first term is the point location in the triangle plane, and the second term is its displacement in the normal direction.
In this example, each control point pijk is assigned barycentric coordinates uijk with respect to the triangle vertices V. u111=(pu, pv, 1?pu?pv) is defined as the focus point and corner control points u300, u030, u003 are set to the vertex colors. The remaining coordinates are likewise naturally expressed in terms of (pu, pv), as shown in FIG. 7. Then, all control points pijk are displaced, except the corner points in the direction {right arrow over (n)} normal to the triangle plane. The focus point control point p111 is displaced the most, and the displacement of other control points falls off with the distance squared dijk2 to the central control point.
Thus, the set of non-linearly interpolated colors defined by the color sail ![custom character]() is:
 is: