Sphere-Like, Torus-Like, and Other Spline Surfaces.
BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS
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The paper is the last of a series of technical reports on the application of bicubic splines to surface representation. In particular, the report considers the representation of sphere-like surfaces by bicubic splines. Torus-like and cylinder-like surfaces are also considered. In all cases, the representations obtained are in terms of cardinal splines on rectangular meshes. This is made possible by the choice of coordinates employed. Both the parametric and non-parametric representations of surfaces are considered. In addition, an approximate representation for multiply connected regions is examined. Author
- Numerical Mathematics