The shape of spherical quartics
نویسندگان
چکیده
We discuss the problem of interpolating C 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.
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عنوان ژورنال:
- Computer Aided Geometric Design
دوره 20 شماره
صفحات -
تاریخ انتشار 2003