Title :
Hermite interpolation on sphere
Author :
Habib, Zulfiqar ; Sakai, Manabu
Author_Institution :
Dept. of Math. & Comput. Sci., Kagoshima Univ., Japan
Abstract :
We consider the shape of two point Hermite interpolation on the sphere. A three-parameter family of spherical rational quartic curves has been derived. We derive the singularity conditions theoretically and discuss the shape of the solutions, which is characterized by the presence of loops and cusps on restricted as well as whole segment. Our results can be used to develop a practical scheme for spherical Hermite interpolation, which would generate quartic spherical C1 Hermite splines.
Keywords :
computational geometry; curve fitting; interpolation; splines (mathematics); surface fitting; quartic spherical Hermite spline; spherical Hermite interpolation; spherical rational quartic curve;
Conference_Titel :
Computer Graphics, Imaging and Vision: New Trends, 2005. International Conference on
Print_ISBN :
0-7695-2392-7
DOI :
10.1109/CGIV.2005.42
