Generalized Bezier Curves Based on Lupaş q-Analogue of the Bernstein Operator
| dc.contributor.advisor | Kara, Mustafa | |
| dc.contributor.author | Atamert, Mehmet Salih | |
| dc.date.accessioned | 2021-09-01T11:13:45Z | |
| dc.date.available | 2021-09-01T11:13:45Z | |
| dc.date.issued | 2019 | |
| dc.date.submitted | 2019 | |
| dc.department | Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics | en_US |
| dc.description | Master of Science in Mathematics. Thesis (M.S.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2019. Supervisor: Assist. Prof. Dr. Mustafa Kara. | en_US |
| dc.description.abstract | In this thesis, we study the Bezier curves and their properties. Bezier curves are one of the most important curves in Computer-Aided Geometric Design (CAGD). Bernstein functions are the basis of the Bezier curves. Therefore, we investigate the Lupaş 𝑞���- analogue of Bernstein functions, their properties and corresponding Lupaş 𝑞���-Bezier curves and their useful properties. Finally, we have studied the de Casteljau algorithms of Lupaş 𝑞���-Bezier curve and the upgrade procedure. Keywords: Bernstein polynomials, Bezier curve, de Casteljau algorithms, degree elevation, Lupaş 𝑞���-Bezier curve, Lupaş 𝑞���-Bezier surface, Lupaş q-analogue of Bernstein operator | en_US |
| dc.description.abstract | ÖZ Bu tezde Bezier eğrilerilerini ve bu ozellikleri inceliyoruz. Bezier eğrileri, Bilgisayar Destekli Geometrik Tasarım'daki (CAGD) en önemli eğrilerden biridir. Bernstein fonksiyonları Bezier eğrilerinin temelidir. Bu nedenle, Bernstein fonksiyonlarının Lupaş q-analogunu, özelliklerini ve bunlara karşılık gelen Lupaş q-Bezier eğrilerini ve yararlı özelliklerini araştırıyoruz. Son olarak, Lupaş q-Bezier eğrisinin de Casteljau algoritmalarını ve yükseltme prosedürünü inceledik. Anahtar kelimeler: Bernstein polinomları, Bezier egrileri, de Casteljau algoritması, derece yükseltme, Lupas 𝑞��-Bezier egrileri, Lupaş 𝑞��-Bezier yüzeyi, Lupaş 𝑞��-analogue of Bernstein operatoru | en_US |
| dc.identifier.citation | Atamert, Mehmet Salih. (2019). Generalized Bezier Curves Based on Lupaş q-Analogue of the Bernstein Operator. Thesis (M.S.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Mathematics, Famagusta: North Cyprus. | en_US |
| dc.identifier.uri | https://hdl.handle.net/11129/5087 | |
| dc.language.iso | en | |
| dc.publisher | Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ) | en_US |
| dc.relation.publicationcategory | Tez | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Mathematics | en_US |
| dc.subject | Bernstein polynomials | en_US |
| dc.subject | Bezier curve | en_US |
| dc.subject | de Casteljau algorithms | en_US |
| dc.subject | degree elevation | en_US |
| dc.subject | Lupaş | en_US |
| dc.title | Generalized Bezier Curves Based on Lupaş q-Analogue of the Bernstein Operator | en_US |
| dc.type | Master Thesis |
