Equivolumetric offset surfaces

We present the equivolumetric offset surface which is a special kind of variable distance offset surfaces. For a given base surface, the volume bounded by the base surface and its equidistance offset may vary depending on the curvature of the base surface. The offset distance function of the equivolumetric offset surface is carefully chosen to compensate this curvature effect and to equalize the volumetric ratio. The explicit formulation of the equivolumetric offset distance function is given by using the Chebyshev cube root.