A New Computational Approach To Estimate the Subdivision Depth of N-Ary Subdivision Scheme
| dc.contributor.author | Shahzad, Aamir | |
| dc.contributor.author | Khan, Faheem | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Chu, Yuming | |
| dc.contributor.author | Mustafa, Ghulam | |
| dc.date.accessioned | 2022-02-24T07:15:47Z | |
| dc.date.accessioned | 2025-09-18T12:47:22Z | |
| dc.date.available | 2022-02-24T07:15:47Z | |
| dc.date.available | 2025-09-18T12:47:22Z | |
| dc.date.issued | 2020 | |
| dc.description | Mustafa, Ghulam/0000-0002-0441-8485; Khan, Faheem/0000-0003-1520-4690 | en_US |
| dc.description.abstract | The n-ary subdivision scheme has traditionally been designed to generate smooth curve and surface from control polygon. In this paper, we propose a new subdivision depth computation technique for n-ary subdivision scheme. The existing techniques do not ensure the computation of subdivision depth unless some strong condition is assumed on the mask of the scheme. But our technique relaxes the effect of strong condition assumed on the mask of the scheme by increasing the number of convolution steps. Consequently, a more precise subdivision depth technique for a given error tolerance is presented in this paper. | en_US |
| dc.description.sponsorship | University of Sargodha; National Natural Science Foundation of China [61673169, 1971142] | en_US |
| dc.description.sponsorship | This work was supported in part by the University of Sargodha. The work of Yuming Chu was supported by the National Natural Science Foundation of China under Grant 61673169 and Grant 1971142. | en_US |
| dc.identifier.citation | Mustafa, Ghulam...et al. (2020). "A New Computational Approach to Estimate the Subdivision Depth of n-Ary Subdivision Scheme", IEEE Access, Vol. 8, pp. 187146-187155. | en_US |
| dc.identifier.doi | 10.1109/ACCESS.2020.3030665 | |
| dc.identifier.issn | 2169-3536 | |
| dc.identifier.scopus | 2-s2.0-85102792671 | |
| dc.identifier.uri | https://doi.org/10.1109/ACCESS.2020.3030665 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11787 | |
| dc.language.iso | en | en_US |
| dc.publisher | Ieee-inst Electrical Electronics Engineers inc | en_US |
| dc.relation.ispartof | IEEE Access | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Curves And Surfaces | en_US |
| dc.subject | N-Ary Subdivision Schemes | en_US |
| dc.subject | Convolution | en_US |
| dc.subject | Error | en_US |
| dc.subject | Distance | en_US |
| dc.subject | Subdivision Depth | en_US |
| dc.title | A New Computational Approach To Estimate the Subdivision Depth of N-Ary Subdivision Scheme | en_US |
| dc.title | A New Computational Approach to Estimate the Subdivision Depth of n-Ary Subdivision Scheme | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Mustafa, Ghulam/0000-0002-0441-8485 | |
| gdc.author.id | Khan, Faheem/0000-0003-1520-4690 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Khan, Faheem/K-8628-2019 | |
| gdc.author.wosid | Mustafa, Ghulam/Abh-1050-2020 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Mustafa, Ghulam] Islamia Univ Bahawalpur, Dept Math, Bahawalpur 63100, Pakistan; [Shahzad, Aamir; Khan, Faheem] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan; [Baleanu, Dumitru] Cankaya Univ, Dept Math Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan; [Chu, Yuming] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China; [Chu, Yuming] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China | en_US |
| gdc.description.endpage | 187155 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 187146 | en_US |
| gdc.description.volume | 8 | en_US |
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