Implicit Methods for Geometry Creation
Mark T. Ensz, Duane Storti, Mark A. Ganter · International Journal of Computational Geometry & Applications · 1998
In this paper, we briefly review the existing direct implicit geometry generation methods, which include creation of blending surfaces, a limited family of sweeps, and reconstruction of solid geometry from a sample set of surface data points. A broader approach is presented, utilizing the properties of the graph of the implicit defining function, to systematically construct swept solids and perform morphing between sections by implicit methods.