Hermite Interpolation with PH Curves Using the Enneper Surface

Hyun Chol Lee; Jae Hoon Kong; Gwangil Kim

首页> 外文期刊>Abstract and applied analysis >Hermite Interpolation with PH Curves Using the Enneper Surface

【24h】

Hermite Interpolation with PH Curves Using the Enneper Surface

机译：使用Enneper曲面用PH曲线进行Hermite插值

获取原文

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

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

机译：我们表明Enneper表面的几何和PH保留特性使我们能够找到所有常规Hermite数据集的PH插值。每个这样的数据集由两个缩放的Enneper曲面满足，我们可以在每个曲面上获得四个插值。发现这些插值的示例在弯曲能量和弧长方面比使用以前的PH保留映射获得的示例更好。

著录项

来源
《Abstract and applied analysis》 |2018年第6期|共页
作者
Hyun Chol Lee; Jae Hoon Kong; Gwangil Kim;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种
中图分类数学分析;
关键词

相似文献

外文文献
中文文献
专利

1. C-shaped G~2 Hermite interpolation with circular precision based on cubic PH curve interpolation [J] . Yajuan Li, Chongyang Deng Computer-Aided Design . 2012,第11期

机译：基于三次PH曲线插值的C形G〜2 Hermite圆精度插值
2. First order hermite interpolation with spherical Pythagorean-hodograph curves [J] . Gwang-Il Kim, Jae-Hoon Kong, Sunhong Lee Journal of Applied Mathematics and Computing . 2007,第1a2期

机译：球面勾股-波谱仪曲线的一阶Hermite插值
3. Interpolation of Hermite data by clamped Minkowski Pythagorean hodograph B-spline curves [J] . Bizzarri Michal, Lavicka Miroslav Journal of Computational and Applied Mathematics . 2021,第1期

机译：通过夹紧Minkowski Pythagorean Hodograph B样条曲线插值Hermite数据的插值
4. Hermite interpolation of rational space curves using real algebraic surfaces [C] . C. Bajaj, I. Ihm Annual symposium on Computational geometry;Symposium on Computational geometry . 1989

机译：使用实数代数曲面的有理空间曲线的Hermite插值
5. Multi-objective particle swarm optimization of a modified Bernstein polynomial for curved phased array synthesis using Bezier curves, surfaces, and volumes. [D] . Boeringer, Daniel Wilharm. 2004

机译：修正的Bernstein多项式的多目标粒子群优化，用于使用Bezier曲线，曲面和体积进行弯曲相控阵合成。
6. Strategy of computed tomography sinogram inpainting based on sinusoid-like curve decomposition and eigenvector-guided interpolation [O] . Yinsheng Li, Yang Chen, Yining Hu, -1

机译：基于正弦状曲线分解和特征向导插值的计算机断层摄影思想策略
7. Hermite Interpolation of Rational Space Curves Using Real Algebraic Surfaces [O] . Bajaj, Chanderjit, Ihm, Insung 1988

机译：使用实代数曲面的有理空间曲线的Hermite插值

Hermite Interpolation with PH Curves Using the Enneper Surface

摘要

著录项

相似文献

相关主题

期刊订阅