C1 Hermite interpolation using MPH quartic

✍ Scribed by Gwang-Il Kim; Min-Ho Ahn

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 347 KB
• Volume: 20
• Category: Article
• ISSN: 0167-8396
• DOI: 10.1016/j.cagd.2003.06.001

✦ Synopsis

In this paper, we study the C 1 Hermite interpolation problem using Minkowski Pythagorean Hodograph (MPH) quartics in R 2,1 . As a preliminary step, we characterize MPH curves in R 2,1 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.