C1 Hermite Interpolation with PH Curves Using the Enneper Surface
We show that the geometric and PH-preserving properties of the Enneper surface allow us to find PH interpolants for all regular C1 Hermite data-sets. Each such data-set is satisfied by two scaled Enneper surfaces, and we can obtain four interpolants on each surface. Examples of these interpolants we...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2018/5680723 |
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| _version_ | 1850170561546682368 |
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| author | Hyun Chol Lee Jae Hoon Kong Gwangil Kim |
| author_facet | Hyun Chol Lee Jae Hoon Kong Gwangil Kim |
| author_sort | Hyun Chol Lee |
| collection | DOAJ |
| description | We show that the geometric and PH-preserving properties of the Enneper surface allow us to find PH interpolants for all regular C1 Hermite data-sets. Each such data-set is satisfied by two scaled Enneper surfaces, and we can obtain four interpolants on each surface. Examples of these interpolants were found to be better, in terms of bending energy and arc-length, than those obtained using a previous PH-preserving mapping. |
| format | Article |
| id | doaj-art-9afcb6b8ba66462ea1f15605d492c2df |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9afcb6b8ba66462ea1f15605d492c2df2025-08-20T02:20:27ZengWileyAbstract and Applied Analysis1085-33751687-04092018-01-01201810.1155/2018/56807235680723C1 Hermite Interpolation with PH Curves Using the Enneper SurfaceHyun Chol Lee0Jae Hoon Kong1Gwangil Kim2Department of Mathematics, Gyeongsang National University, Jinju 660-701, Republic of KoreaDepartment of Mathematics, Gyeongsang National University, Jinju 660-701, Republic of KoreaDepartment of Mathematics, Gyeongsang National University, Jinju 660-701, Republic of KoreaWe show that the geometric and PH-preserving properties of the Enneper surface allow us to find PH interpolants for all regular C1 Hermite data-sets. Each such data-set is satisfied by two scaled Enneper surfaces, and we can obtain four interpolants on each surface. Examples of these interpolants were found to be better, in terms of bending energy and arc-length, than those obtained using a previous PH-preserving mapping.http://dx.doi.org/10.1155/2018/5680723 |
| spellingShingle | Hyun Chol Lee Jae Hoon Kong Gwangil Kim C1 Hermite Interpolation with PH Curves Using the Enneper Surface Abstract and Applied Analysis |
| title | C1 Hermite Interpolation with PH Curves Using the Enneper Surface |
| title_full | C1 Hermite Interpolation with PH Curves Using the Enneper Surface |
| title_fullStr | C1 Hermite Interpolation with PH Curves Using the Enneper Surface |
| title_full_unstemmed | C1 Hermite Interpolation with PH Curves Using the Enneper Surface |
| title_short | C1 Hermite Interpolation with PH Curves Using the Enneper Surface |
| title_sort | c1 hermite interpolation with ph curves using the enneper surface |
| url | http://dx.doi.org/10.1155/2018/5680723 |
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