Geometric Properties and Algorithms for Rational q-Bézier Curves and Surfaces

Jorge Delgado and J. M. Peña
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Jorge Delgado: Departamento de Matemática Aplicada, Universidad de Zaragoza, 44003-Teruel, Spain
J. M. Peña: Departamento de Matemática Aplicada, Universidad de Zaragoza, 50009-Zaragoza, Spain

Mathematics, 2020, vol. 8, issue 4, 1-15

Abstract: In this paper, properties and algorithms of q-Bézier curves and surfaces are analyzed. It is proven that the only q-Bézier and rational q-Bézier curves satisfying the boundary tangent property are the Bézier and rational Bézier curves, respectively. Evaluation algorithms formed by steps in barycentric form for rational q-Bézier curves and surfaces are provided.

Keywords: q-Bernstein; q-Bézier; rational curves; boundary tangent property (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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