𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hodographs and normals of rational curves and surfaces

✍ Scribed by Takafumi Saito; Guo-Jin Wang; Thomas W. Sederberg

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
511 KB
Volume
12
Category
Article
ISSN
0167-8396

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Automatic parameretization of rational c
Automatic parameretization of rational curves and surfaces 1: conics and conicoids
✍ Shreeram S. Abhyankar; Chanderjit Bajaj πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 373 KB

Given the implicit equation for degree two curves (conics) and degree two surfaces (conicoids), algorithms are described here, which obtain their corresponding rational parametric equations (a polynomial divided by another). These rational parameterizaUons are considered over the fields of rationals

Automatic parametrization of rational cu
Automatic parametrization of rational curves and surfaces II: cubics and cubicoids
✍ Shreeram S. Abhyankar; Chanderjit Bajaj πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 398 KB

A Igorithms that can obtain rational and special parametric equations for degree three algebraic curves (cubics) and degree three algebraic surfaces (cubicoids), given their implicit equations are described. These algorithms have been implemented on a VAX8600 using VAXIMA.

Pascal’s Triangle, Normal Rational Curve
Pascal’s Triangle, Normal Rational Curves, and their Invariant Subspaces
✍ Johannes Gmainer πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 133 KB

Each normal rational curve in P G(n, F) admits a group P L( ) of automorphic collineations. It is well known that for characteristic zero only the empty and the entire subspace are P L( )invariant. In the case of characteristic p > 0 there may be further invariant subspaces. For #F β‰₯ n+2, we give a