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DC Field | Value | Language |
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dc.contributor.author | Dyn, N | - |
dc.contributor.author | Gregory, JA | - |
dc.contributor.author | Levin, D | - |
dc.coverage.spatial | 30 | en |
dc.date.accessioned | 2008-04-24T13:04:17Z | - |
dc.date.available | 2008-04-24T13:04:17Z | - |
dc.date.issued | 1988 | - |
dc.identifier.citation | Maths Technical Papers (Brunel University). September 1988, pp 1-28 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/2080 | - |
dc.description.abstract | The paper analyses the convergence of sequences of control polygons produced by a binary subdivision scheme of the form .0,1,2,...kz,ikj,ifjbm0j1k12ifjam0j1k2if=∈+Σ==++Σ==+ The convergence of the control polygons to a Cu curve is analysed in terms of the convergence to zero of a derived scheme for the differences - . The analysis of the smoothness of the limit curve is reduced to kif the convergence analysis of "differentiated" schemes which correspond to divided differences of {/i ∈Z} with respect to the diadic parameteriz- kif ation = i/2kitk . The inverse process of "integration" provides schemes with limit curves having additional orders of smoothness. | en |
dc.format.extent | 401725 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Brunel University | en |
dc.relation.ispartof | Brunel University Mathematics Technical Papers collection; | - |
dc.title | Analysis of uniform binary subdivision schemes for curve design | en |
dc.type | Research Paper | en |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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File | Description | Size | Format | |
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TR_06_88.pdf | 392.31 kB | Adobe PDF | View/Open |
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