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Quadratic-Cycloidal Curves

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Abstract

Interesting curves can be represented in the space Q=span{1,t,t 2,cos t,sin t}, t∈[0,α] (0<α<2π). In this paper we introduce quadratic-cycloidal B-splines associated to equally spaced knots and the properties of the generated curves for 0<α<π. It is proved that, when α→0, the limit of a QC-B-spline curve approaches a B-spline curve of degree 4.

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Authors and Affiliations

  1. Departamento De Matemáticas Estadística y Computación, Universidad de Cantabria, 50009 Santander, 39071, Spain

    E. Mainar

  2. Departamento de Matemática Aplicada, Universidad de Zaragoza, 50009, Zaragoza, Spain

    J.M. Peña

Authors
  1. E. Mainar
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  2. J.M. Peña
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Mainar, E., Peña, J. Quadratic-Cycloidal Curves. Advances in Computational Mathematics 20, 161–175 (2004). https://doi.org/10.1023/A:1025813919473

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