THE KERNEL OF A FREEFORM SURFACE AND ITS DUALITY WITH THE CONVEX HULL OF ITS TANGENTIAL SURFACE

• DOI: 10.1142/s021865430600086x
• Publication Date: 2006-12-22T10:26:03Z
• Authors: GERSHON ELBER; JOHN K. JOHNSTONE; MYUNG-SOO KIM; JOON-KYUNG SEONG
• Keywords: Duality (order theory); Kernel (algebra)

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