C1 Hermite Interpolation with PH Curves Using the Enneper Surface

Autor: Hyun Chol Lee, Jae Hoon Kong, Gwangil Kim
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Abstract and Applied Analysis, Vol 2018 (2018)
Druh dokumentu: article
ISSN: 1085-3375
1687-0409
DOI: 10.1155/2018/5680723
Popis: 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.
Databáze: Directory of Open Access Journals
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