Geometric convergence rates for cardinal spline subdivision with general integer arity
A rigorous convergence analysis is presented for arbitrary order cardinal spline subdivision with general integer arity, for which the binary case, with arity two, is a well-studied subject. Explicit geometric convergence rates are derived, and particular attention is devoted to the rendering of ca...
Main Authors: | , |
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Format: | Article |
Language: | English |
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Publishing House of the Romanian Academy
2019-09-01
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Series: | Journal of Numerical Analysis and Approximation Theory |
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Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/1164 |
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author | Johan de Villiers Mpafereleni Rejoyce Gavhi-Molefe |
author_facet | Johan de Villiers Mpafereleni Rejoyce Gavhi-Molefe |
author_sort | Johan de Villiers |
collection | DOAJ |
description |
A rigorous convergence analysis is presented for arbitrary order cardinal spline subdivision with general integer arity, for which the binary case, with arity two, is a well-studied subject. Explicit geometric convergence rates are derived, and particular attention is devoted to the rendering of cardinal spline graphs and parametric curves.
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first_indexed | 2024-03-12T21:05:57Z |
format | Article |
id | doaj.art-4db16d17f26d477aa485b2d44339e3de |
institution | Directory Open Access Journal |
issn | 2457-6794 2501-059X |
language | English |
last_indexed | 2024-03-12T21:05:57Z |
publishDate | 2019-09-01 |
publisher | Publishing House of the Romanian Academy |
record_format | Article |
series | Journal of Numerical Analysis and Approximation Theory |
spelling | doaj.art-4db16d17f26d477aa485b2d44339e3de2023-07-30T12:30:22ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2019-09-01481Geometric convergence rates for cardinal spline subdivision with general integer arityJohan de Villiers0Mpafereleni Rejoyce Gavhi-Molefe1Department of Mathematical Sciences, Mathematics Division, Stellenbosch University, South AfricaAfrican Institute for Mathematical Sciences, South Africa A rigorous convergence analysis is presented for arbitrary order cardinal spline subdivision with general integer arity, for which the binary case, with arity two, is a well-studied subject. Explicit geometric convergence rates are derived, and particular attention is devoted to the rendering of cardinal spline graphs and parametric curves. https://ictp.acad.ro/jnaat/journal/article/view/1164subdivisionarityrefinable functionsconvergence ratescardinal splineparametric curves |
spellingShingle | Johan de Villiers Mpafereleni Rejoyce Gavhi-Molefe Geometric convergence rates for cardinal spline subdivision with general integer arity Journal of Numerical Analysis and Approximation Theory subdivision arity refinable functions convergence rates cardinal spline parametric curves |
title | Geometric convergence rates for cardinal spline subdivision with general integer arity |
title_full | Geometric convergence rates for cardinal spline subdivision with general integer arity |
title_fullStr | Geometric convergence rates for cardinal spline subdivision with general integer arity |
title_full_unstemmed | Geometric convergence rates for cardinal spline subdivision with general integer arity |
title_short | Geometric convergence rates for cardinal spline subdivision with general integer arity |
title_sort | geometric convergence rates for cardinal spline subdivision with general integer arity |
topic | subdivision arity refinable functions convergence rates cardinal spline parametric curves |
url | https://ictp.acad.ro/jnaat/journal/article/view/1164 |
work_keys_str_mv | AT johandevilliers geometricconvergenceratesforcardinalsplinesubdivisionwithgeneralintegerarity AT mpaferelenirejoycegavhimolefe geometricconvergenceratesforcardinalsplinesubdivisionwithgeneralintegerarity |