The kernel of a freeform surface and its duality with the convex hull of its tangential surface

Academic Article


  • We present algorithms for computing the kernel of a closed freeform rational surface. The kernel computation is reformulated as a problem of finding the zero-sets of polynomial equations; using these zero-sets we characterize developable surface patches and planar patches that belong to the boundary of the kernel. Using a plane-point duality, this paper also explores a duality relationship between the kernel of a closed surface and the convex hull of its tangential surface. © World Scientific Publishing Company.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Elber G; Johnstone JK; Kim MS; Seong JK
  • Start Page

  • 129
  • End Page

  • 142
  • Volume

  • 12
  • Issue

  • 2