caa a22 4500 46320316X CHVBK 20180405153117.0 cr unu---uuuuu 170326e20070201xx s 000 0 eng 10.1007/s00200-006-0025-6 doi (NATIONALLICENCE)springer-10.1007/s00200-006-0025-6 Approximate implicitization of planar curves by piecewise rational approximation of the distance function [Elektronische Daten] [Mohamed Shalaby, Bert Jüttler, Josef Schicho] We present an approximate implicitization method for planar curves. The computed implicit representation is a piecewise rational approximation of the distance function to the given parametric curve. The proposed method consists of four main steps: quadratic B-spline approximation of the given parametric curve, data reduction, segments-wise implicitization, multiplying with suitable polynomial factors. These segments are joined such that the collection generate a global C r spline function which approximates the distance function, for r=0, 1. Springer-Verlag, 2006 Approximate implicitization nationallicence Distance function nationallicence Shalaby Mohamed Institute of Applied Geometry, Johannes Kepler University, Linz, Austria aut Jüttler Bert Institute of Applied Geometry, Johannes Kepler University, Linz, Austria aut Schicho Josef Johannes Radon Institute of Computational and Applied Mathematics, Austrian Academy of Sciences, Linz, Austria aut Applicable Algebra in Engineering, Communication and Computing Springer-Verlag 18/1-2(2007-02-01), 71-89 0938-1279 18:1-2<71 2007 18 200 https://doi.org/10.1007/s00200-006-0025-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00200-006-0025-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Shalaby Mohamed Institute of Applied Geometry, Johannes Kepler University, Linz, Austria aut NATIONALLICENCE 700 1- Jüttler Bert Institute of Applied Geometry, Johannes Kepler University, Linz, Austria aut NATIONALLICENCE 700 1- Schicho Josef Johannes Radon Institute of Computational and Applied Mathematics, Austrian Academy of Sciences, Linz, Austria aut NATIONALLICENCE 773 0- Applicable Algebra in Engineering, Communication and Computing Springer-Verlag 18/1-2(2007-02-01), 71-89 0938-1279 18:1-2<71 2007 18 200 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer