School of Mathematics, National University of Colombia, Medellín Campus, Medellín 4309511, Colombia
Esmeralda Mainar
Department of Applied Mathematics, University Research Institute of Mathematics and Its Applications (IUMA), University of Zaragoza, 50009 Zaragoza, Spain
Juan Manuel Peña
Department of Applied Mathematics, University Research Institute of Mathematics and Its Applications (IUMA), University of Zaragoza, 50009 Zaragoza, Spain
Beatriz Rubio
Department of Applied Mathematics, University Research Institute of Mathematics and Its Applications (IUMA), University of Zaragoza, 50009 Zaragoza, Spain
We construct one-frequency trigonometric spline curves with a de Boor-like algorithm for evaluation and analyze their shape-preserving properties. The convergence to quadratic B-spline curves is also analyzed. A fundamental tool is the concept of the normalized B-basis, which has optimal shape-preserving properties and good symmetric properties.
