Local shape of offsets to algebraic curves

Alcazar, J.G., Schicho, J., Sendra, R., 2005. Computation of the topology types of the level curves of real algebraic surfaces. Tech. Report SFB 2006-2. RICAM, Austria Alcazar, J.G., Sendra, R., 2006. Local shape of offsets to rational algebraic curves. Tech. Report SFB 2006-22. RICAM, Austria Arrondo, 1997, Parametric generalized offsets to hypersurfaces, Journal of Symbolic Computation, 23, 267, 10.1006/jsco.1996.0088 Arrondo, 1999, Genus formula for generalized offset curves, Journal of Pure and Applied Algebra, 136, 199, 10.1016/S0022-4049(98)00028-0 Do Carmo, 1976 Farouki, 1990, Analytic properties of plane offset curves, Computer Aided Geometric Design, 7, 83, 10.1016/0167-8396(90)90023-K Farouki, 1990, Algebraic properties of plane offset curves, Computer Aided Geometric Design, 7, 101, 10.1016/0167-8396(90)90024-L Hemmecke, 2001, The CASA system Hoschek, 1993 Leibnitz, 1692, Generalia de Natura Linearum, Anguloque Contactus et Osculi Provocationibis Aliisque Cognatis et Eorum Usibus Nonnullis, Acta Eruditorum Lü, 1995, Offset-rational parametric plane curves, Computer Aided Geometric Design, 12, 601, 10.1016/0167-8396(94)00036-R Pottmann, 1995, Rational curves and surfaces with rational offsets, Computer Aided Geometric Design, 12, 175, 10.1016/0167-8396(94)00008-G Pottmann, 1998, A Laguerre geometric approach to rational offsets, Computer Aided Geometric Design, 15, 223, 10.1016/S0167-8396(97)00024-1 San Segundo, 2005, Degree formulae of offsets curves, Journal of Pure and Applied Algebra, 195, 301, 10.1016/j.jpaa.2004.08.026 Sendra, 2002, Normal parametrizations of algebraic plane curves, Journal of Symbolic Computation, 33, 863, 10.1006/jsco.2002.0538 Sendra, 2000, Algebraic analysis of offsets to hypersurfaces, Mathematische Zeitschrift, 234, 697, 10.1007/s002090050004 Sendra, 2000, Rationality analysis and direct parametrization of generalized offsets to quadrics, Applicable Algebra in Engineering, Communication and Computing, 11, 111, 10.1007/s002000000039 Sendra, 1999, Algorithms for rational real algebraic curves, Fundamenta Informaticae, 39, 211, 10.3233/FI-1999-391211 Walker, 1950