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Bound-preserving interpolation using quadratic splines | ||
| Journal of Mathematical Modeling | ||
| دوره 10، شماره 3، آذر 2022، صفحه 407-419 اصل مقاله (258.33 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2021.19496.1676 | ||
| نویسندگان | ||
| Jamshid Saeidian* 1؛ Muhammad Sarfraz2؛ Sajad Jalilian1 | ||
| 1Faculty of Mathematical Sciences and Computer, Kharazmi University, No. 50, Taleghani Avenue, Tehran, Iran | ||
| 2Department of Information Science, College of Life Sciences, Kuwait University, Sabah AlSalem University City, Shadadiya, Kuwait | ||
| چکیده | ||
| In this work, we study a data visualization problem which is classified in the field of shape-preserving interpolation. When function is known to be bounded, then it is natural to expect its interpolant to adhere boundedness. Two spline-based techniques are proposed to handle this kind of problem. The proposed methods use quadratic splines as basis and involve solving a linear programming or a mixed integer linear programming problem which gives $C^1$ interpolants. An energy minimization technique is employed to gain the optimal smooth solution. The reliability and applicability of the proposed techniques have been illustrated through examples. | ||
| کلیدواژه‌ها | ||
| Shape preserving interpolation؛ boundedness؛ quadratic splines؛ linear programming | ||
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آمار تعداد مشاهده مقاله: 722 تعداد دریافت فایل اصل مقاله: 729 |
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