Non-stationary subdivision schemes for surface interpolation based on exponential polynomials

• Autores: Yeon Ju Lee, Jungho Yoon
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 60, Nº. 1-2, 2010, págs. 130-141
• Idioma: inglés
• DOI: 10.1016/j.apnum.2009.10.005
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• Resumen

  • This paper is concerned with non-stationary interpolatory subdivision schemes that can reproduce a large class of (complex) exponential polynomials. It enables our scheme to exactly reproduce the parametric surfaces such as torus and spheres. The subdivision rules are obtained by using the reproducing property of exponential polynomials which constitute a shift-invariant space View the MathML source. In this study, we are particularly interested in the schemes based on the known butterfly-shaped stencils, proving that these schemes have the same smoothness and approximation order as the classical Butterfly interpolatory scheme.