C-1 hermite interpolation using MPH quartic
In this paper, we study the C-1 Hermite interpolation problem using Minkowski Pythagorean Hodograph (MPH) quartics in R-2,R-1. As a preliminary step, we characterize MPH curves in R-2,R-1 by the roots of the hodographs of their complexified spine curves. We present two schemes for this interpolation problem: one is a subdivision scheme using direct C-1 interpolation and the other is a two step scheme using a new concept, C-1/2 interpolation. (C) 2003 Elsevier B.V. All rights reserved.
c-1 hermite interpolation minkowski pythagorean hodograph pythagorean hodograph subdivision scheme c-1/2 hermite interpolation