Direct Ray tracing of smoothed and displacement mapped triangles

We present an algorithm for ray tracing displacement maps that requires no additional storage over the base model. Displacement maps are rarely used in ray tracing due to the cost associated with storing and intersecting the displaced geometry. This is unfortunate because displacement maps allow the addition of large amounts of geometric complexity into models. Our method works for models composed of triangles with normals at the vertices. In addition, we present a special purpose displacement that creates a smooth surface that interpolates the triangle vertices and normals. Thus two adjacent triangles which share two vertices and normals will be smoothly interpolated. This combination allows relatively coarse models to be displacement mapped and ray traced with much less storage and fewer artifacts due to tessellation.