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 |
| Subjects: | |
| Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/1164 |
| _version_ | 1811296909949665280 |
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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 | 2024-04-13T05:55:26Z |
| format | Article |
| id | doaj.art-f44370866f5045e0b0d5f55014e90941 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-04-13T05:55:26Z |
| 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-f44370866f5045e0b0d5f55014e909412022-12-22T02:59:38ZengPublishing 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 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://www.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://www.ictp.acad.ro/jnaat/journal/article/view/1164 |
| work_keys_str_mv | AT johandevilliers geometricconvergenceratesforcardinalsplinesubdivisionwithgeneralintegerarity AT mpaferelenirejoycegavhimolefe geometricconvergenceratesforcardinalsplinesubdivisionwithgeneralintegerarity |