论文信息 - Hermite interpolation on sphere

Hermite interpolation on sphere

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 C/sup 1/ Hermite splines.

Zulfiqar Habib | Manabu Sakai

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