Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)2022-03-142022-03-14https://noesis.uis.edu.co/handle/20.500.14071/7305We prove that every irreducible conic can be parametrically represented by two rational quadratic functions. An algorithm for smoothing the vertices of a poligonal by a conic spline with continuous tangent is proposed. Finally, we give a global parametrization of the sl'line which includes a procedUl'eto obtain a set of values of the parameter providing regularly distributed points on each conic section.Keywords: [Numerical AnalysisJ: Spline Approximation; [Computer Graphics]: Methodology and Techniques.application/pdfinfo:eu-repo/semantics/articlehttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessAtribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)