The following two problems arc shown to have closed-form solutions requiring only the arithmetic operations of addition, subtraction, multiplication and division: (1) Given a curve or surface defined parametrically in terms of rational polynomials, find an implicit polynomial equation which defines
โฆ LIBER โฆ
Splat representation of parametric surfaces
โ Scribed by D. Ayala; N. Pla; M. Vigo
- Publisher
- Springer Vienna
- Year
- 2007
- Tongue
- English
- Weight
- 277 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0010-485X
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In this paper, we study the problem of constructing a family of surfaces from a given spatial geodesic curve. We derive a parametric representation for a surface pencil whose members share the same geodesic curve as an isoparametric curve. By utilizing the Frenet trihedron frame along the given geod