Shape-Preserving Properties of a Relaxed Four-Point Interpolating Subdivision Scheme
In this paper, we analyze shape-preserving behavior of a relaxed four-point binary interpolating subdivision scheme. These shape-preserving properties include positivity-preserving, monotonicity-preserving and convexity-preserving. We establish the conditions on the initial control points that allow...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/5/806 |
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| author | Pakeeza Ashraf Abdul Ghaffar Dumitru Baleanu Irem Sehar Kottakkaran Sooppy Nisar Faheem Khan |
| author_facet | Pakeeza Ashraf Abdul Ghaffar Dumitru Baleanu Irem Sehar Kottakkaran Sooppy Nisar Faheem Khan |
| author_sort | Pakeeza Ashraf |
| collection | DOAJ |
| description | In this paper, we analyze shape-preserving behavior of a relaxed four-point binary interpolating subdivision scheme. These shape-preserving properties include positivity-preserving, monotonicity-preserving and convexity-preserving. We establish the conditions on the initial control points that allow the generation of shape-preserving limit curves by the four-point scheme. Some numerical examples are given to illustrate the graphical representation of shape-preserving properties of the relaxed scheme. |
| first_indexed | 2024-03-10T19:48:51Z |
| format | Article |
| id | doaj.art-af3b6af1270340a1984df0a3351050e2 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T19:48:51Z |
| publishDate | 2020-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-af3b6af1270340a1984df0a3351050e22023-11-20T00:34:10ZengMDPI AGMathematics2227-73902020-05-018580610.3390/math8050806Shape-Preserving Properties of a Relaxed Four-Point Interpolating Subdivision SchemePakeeza Ashraf0Abdul Ghaffar1Dumitru Baleanu2Irem Sehar3Kottakkaran Sooppy Nisar4Faheem Khan5Department of Mathematics, Government Sadiq College Women University, Bahawalpur 63100, PakistanInformetrics Research Group, Ton Duc Thang University, Ho Chi Minh City 700000, VietnamDepartment of Mathematics, Cankaya University, Ankara 06530, TurkeyDepartment of Mathematics, Government Sadiq College Women University, Bahawalpur 63100, PakistanDepartment of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi ArabiaDepartment of Mathematics, University of Sargodha, Sargodha 40100, PakistanIn this paper, we analyze shape-preserving behavior of a relaxed four-point binary interpolating subdivision scheme. These shape-preserving properties include positivity-preserving, monotonicity-preserving and convexity-preserving. We establish the conditions on the initial control points that allow the generation of shape-preserving limit curves by the four-point scheme. Some numerical examples are given to illustrate the graphical representation of shape-preserving properties of the relaxed scheme.https://www.mdpi.com/2227-7390/8/5/806interpolatingsubdivision schemeshape preservationlimit curve |
| spellingShingle | Pakeeza Ashraf Abdul Ghaffar Dumitru Baleanu Irem Sehar Kottakkaran Sooppy Nisar Faheem Khan Shape-Preserving Properties of a Relaxed Four-Point Interpolating Subdivision Scheme Mathematics interpolating subdivision scheme shape preservation limit curve |
| title | Shape-Preserving Properties of a Relaxed Four-Point Interpolating Subdivision Scheme |
| title_full | Shape-Preserving Properties of a Relaxed Four-Point Interpolating Subdivision Scheme |
| title_fullStr | Shape-Preserving Properties of a Relaxed Four-Point Interpolating Subdivision Scheme |
| title_full_unstemmed | Shape-Preserving Properties of a Relaxed Four-Point Interpolating Subdivision Scheme |
| title_short | Shape-Preserving Properties of a Relaxed Four-Point Interpolating Subdivision Scheme |
| title_sort | shape preserving properties of a relaxed four point interpolating subdivision scheme |
| topic | interpolating subdivision scheme shape preservation limit curve |
| url | https://www.mdpi.com/2227-7390/8/5/806 |
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