Function Polygon.ClosestPointOnTriangleProjected

void ClosestPointOnTriangleProjected (

refInt3	vi1	First vertex of the triangle, in graph space.
refInt3	vi2	Second vertex of the triangle, in graph space.
refInt3	vi3	Third vertex of the triangle, in graph space.
refBBTree.ProjectionParams	projection	Projection parameters that are for example constructed from a movement plane.
ref float3	point	Point to find the closest point to.
out float3	closest	Closest point on the triangle to the point.
out float	sqrDist	Squared cost from the point to the closest point on the triangle.
out float	distAlongProjection	Distance from the point to the closest point on the triangle along the projection axis.

)

Closest point on a triangle when one axis is scaled.

Project the triangle onto the plane defined by the projection axis. Then find the closest point on the triangle in the plane. Calculate the distance to the closest point in the plane, call that D1. Convert the closest point into 3D space, and calculate the distance to the query point along the plane's normal, call that D2. The final cost for a given point is D1 + D2 * distanceScaleAlongProjectionDirection.

This will form a diamond shape of equivalent cost points around the query point (x). The ratio of the width of this diamond to the height is equal to distanceScaleAlongProjectionDirection.

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