2010/07/16 by Ana Marco, Marco, Ana, José‐Javier Martínez +1
Computer Science · Engineering · Mathematics · #13P15 #14Q05 #15A18 #65D17 #Advanced Numerical Analysis Techniques #Computer Graphics and Visualization Techniques #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.1007.2747
openalex publication_date 2010/07/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/02
The inversion problem for rational Bézier curves is addressed by using resultant matrices for polynomials expressed in the Bernstein basis. The aim of the work is not to construct an inversion formula but finding the corresponding value of the parameter for each point on the curve. Since sometimes one has only an approximation of that point the use of the singular value decomposition, a key tool in numerical linear algebra, is shown to be adequate.