Covering Rational Ruled Surfaces
J. Rafael Sendra, David Sevilla, Carlos Villarino
TL;DR
This paper introduces algorithms for covering rational ruled surfaces with two parametrizations and transforming rational surface parametrizations to eliminate affine base points while preserving degree.
Contribution
It provides novel algorithms for covering rational ruled surfaces and transforming parametrizations to remove affine base points without changing the degree.
Findings
Efficient covering of rational ruled surfaces with two parametrizations
Transformation of rational surface parametrizations to eliminate affine base points
Preservation of map degree during transformation
Abstract
We present an algorithm that covers any given rational ruled surface with two rational parametrizations. In addition, we present an algorithm that transforms any rational surface parametrization into a new rational surface parametrization without affine base points and such that the degree of the corresponding maps is preserved.
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