Hermite Interpolation with PH Curves Using the Enneper Surface

Abstract and applied analysis

Hyun Chol Lee^1¹  Jae Hoon Kong^1² 

[1] Department of Mathematics, Gyeongsang National University, Jinju 660-701, Republic of Korea^1;Research Institute of Natural Science, Gyeongsang National University, Jinju 660-701, Republic of Korea^2

DOI  :  10.1155/2018/5680723

学科分类：数学（综合）

来源: Hindawi Publishing Corporation

【 摘 要 】

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

【 授权许可】

CC BY