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2018 C 1 Hermite Interpolation with PH Curves Using the Enneper Surface
Hyun Chol Lee, Jae Hoon Kong, Gwangil Kim
Abstr. Appl. Anal. 2018: 1-10 (2018). DOI: 10.1155/2018/5680723

Abstract

We show that the geometric and PH-preserving properties of the Enneper surface allow us to find PH interpolants for all regular C 1 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.

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Hyun Chol Lee. Jae Hoon Kong. Gwangil Kim. " C 1 Hermite Interpolation with PH Curves Using the Enneper Surface." Abstr. Appl. Anal. 2018 1 - 10, 2018. https://doi.org/10.1155/2018/5680723

Information

Received: 4 January 2018; Accepted: 3 April 2018; Published: 2018
First available in Project Euclid: 13 June 2018

zbMATH: 06929589
MathSciNet: MR3804852
Digital Object Identifier: 10.1155/2018/5680723

Rights: Copyright © 2018 Hindawi

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