On automatic tuning of basis functions in Bezier method
| Parent link: | Journal of Physics: Conference Series Vol. 803 : Information Technologies in Business and Industry (ITBI2016).— 2017.— [012126, 7 p.] |
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| Autor corporatiu: | , |
| Altres autors: | , , , |
| Sumari: | Title screen A transition from the fixed basis in Bezier's method to some class of base functions is proposed. A parameter vector of a basis function is introduced as additional information. This achieves a more universal form of presentation and analytical description of geometric objects as compared to the non-uniform rational B-splines (NURBS). This enables control of basis function parameters including control points, their weights and node vectors. This approach can be useful at the final stage of constructing and especially local modification of compound curves and surfaces with required differential and shape properties; it also simplifies solution of geometric problems. In particular, a simple elimination of discontinuities along local spline curves due to automatic tuning of basis functions is demonstrated. |
| Publicat: |
2017
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| Matèries: | |
| Accés en línia: | http://dx.doi.org/10.1088/1742-6596/803/1/012126 http://earchive.tpu.ru/handle/11683/38181 |
| Format: | Electrònic Capítol de llibre |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=654410 |
| Sumari: | Title screen A transition from the fixed basis in Bezier's method to some class of base functions is proposed. A parameter vector of a basis function is introduced as additional information. This achieves a more universal form of presentation and analytical description of geometric objects as compared to the non-uniform rational B-splines (NURBS). This enables control of basis function parameters including control points, their weights and node vectors. This approach can be useful at the final stage of constructing and especially local modification of compound curves and surfaces with required differential and shape properties; it also simplifies solution of geometric problems. In particular, a simple elimination of discontinuities along local spline curves due to automatic tuning of basis functions is demonstrated. |
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| DOI: | 10.1088/1742-6596/803/1/012126 |