A general class of Bernstein-like bases

• Autores: Esmeralda Mainar Maza , Juan Manuel Peña Ferrández
• Localización: Pre-publicaciones del Seminario Matemático " García de Galdeano ", Nº. 4, 2007
• Idioma: inglés
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• Resumen

  • This paper presents a unified approach to deal with spaces containing simultaneously algebraic and trigonometric or hyperbolic polynomials. Bases with optimal shape preserving and stability properties are constructed. Evaluation and subdivision algorithms are provided. Bases for the corresponding and mixed spline spaces are also constructed. Nice properties of these bases and the generated curves are shown.