Reparametrization of a rational ruled surface using the μ-basis Original Research Article

This paper discusses a direct application of the μ-basis in reparametrizing a rational ruled surface. Using the μ-basis, we construct a new ruled surface, which is a dual of the original surface. A reparametrization can then be obtained from the μ-basis of the dual ruled surface. The reparametrized surface does not contain any non-generic base point and has a pair of directrices with the lowest possible degree.