Reduced curvature formulae for surfaces, offset surfaces, curves on a surface and surface intersections ?
Reduced curvature formulae are presented, namely, formulae entailing only derivatives of the functions involved in the entity's representation. Reduced curvature formulae are more efficient compared to unreduced formulae. Formulae are presented for curves on a surface and for surface intersection curves, in all representation modes of the surfaces. Formulae are also presented for the normal curvature of offset surfaces and for the curvature of intersection curves of offset surfaces.
reduced curvature formulae gaussian mean and normal curvature curvature of curves on a surface curvature of intersection curves of surfaces curvature of intersection curves of offset (parallel) surfaces