On automatic tuning of basis functions in Bezier method; Journal of Physics: Conference Series; Vol. 803 : Information Technologies in Business and Industry (ITBI2016)
| Parent link: | Journal of Physics: Conference Series Vol. 803 : Information Technologies in Business and Industry (ITBI2016).— 2017.— [012126, 7 p.] |
|---|---|
| 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. |
| Idioma: | anglès |
| 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 |
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| 200 | 1 | |a On automatic tuning of basis functions in Bezier method |f V. I. Reizlin (Reyzlin) [et al.] | |
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| 300 | |a Title screen | ||
| 320 | |a [References: 16 tit.] | ||
| 330 | |a 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. | ||
| 461 | 0 | |0 (RuTPU)RU\TPU\network\3526 |t Journal of Physics: Conference Series | |
| 463 | 0 | |0 (RuTPU)RU\TPU\network\19875 |t Vol. 803 : Information Technologies in Business and Industry (ITBI2016) |o International Conference, 21–26 September 2016, Tomsk, Russian Federation |o [proceedings] |f National Research Tomsk Polytechnic University (TPU) ; eds. N. V. Martyushev ; V. S. Avramchuk ; V. A. Faerman |v [012126, 7 p.] |d 2017 | |
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a автоматическая настройка | |
| 610 | 1 | |a базисные функции | |
| 610 | 1 | |a геометрические объекты | |
| 610 | 1 | |a сплайны | |
| 610 | 1 | |a кривые Безье | |
| 701 | 1 | |a Reizlin (Reyzlin) |b V. I. |c Specialist in the field of automatic control |c Associate Professor of Tomsk Polytechnic University, Candidate of physico-mathematical sciences |f 1948- |g Valery Izrailevich |3 (RuTPU)RU\TPU\pers\33686 | |
| 701 | 1 | |a Demin |b A. Yu. |c specialist in the field of Informatics and computer engineering |c Associate Professor of Tomsk Polytechnic University, candidate of technical sciences |f 1973- |g Anton Yurievich |3 (RuTPU)RU\TPU\pers\33696 |9 17327 | |
| 701 | 1 | |a Rybushkina |b S. V. |c linguist |c Leading expert of Tomsk Polytechnic University, Lecturer |f 1978- |g Svetlana Vladimirovna |3 (RuTPU)RU\TPU\pers\33436 | |
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