The shape of spherical quartics

✍ Scribed by Bert Jüttler; Wenping Wang

• Book ID: 104006559
• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 788 KB
• Volume: 20
• Category: Article
• ISSN: 0167-8396
• DOI: 10.1016/j.cagd.2003.07.003

✦ Synopsis

We discuss the problem of interpolating C 1 Hermite data on the sphere (two points with associated first derivative vectors) by spherical rational curves. With the help of the generalized stereographic projection (Dietz et al., 1993), we construct a two-parameter family of spherical quartics solving this problem. We study the shape of these solutions and derive criteria which guarantee solutions without cusps or self-intersections.