On geometric Lagrange interpolation by quadratic parametric patches
Computer Aided Geometric Design（2008）
摘要
In the paper, the geometric Lagrange interpolation by quadratic parametric patches is considered. The freedom of parameterization is used to raise the number of interpolated points from the usual 6 up to 10, i.e., the number of points commonly interpolated by a cubic patch. At least asymptotically, the existence of a quadratic geometric interpolant is confirmed for data taken on a parametric surface with locally nonzero Gaussian curvature and interpolation points based upon a three-pencil lattice. Also, the asymptotic approximation order 4 is established.
更多查看译文
关键词
parametric surface,nonzero gaussian curvature,parametric surface.,interpolation,three-pencil lattice,geometric lagrange interpolation,approximation,interpolated point,asymptotic approximation order,quadratic geometric interpolant,quadratic parametric patch,cubic patch,interpolation point,gaussian curvature,lagrange interpolation
AI 理解论文
溯源树
样例
生成溯源树，研究论文发展脉络
数据免责声明
页面数据均来自互联网公开来源、合作出版商和通过AI技术自动分析结果，我们不对页面数据的有效性、准确性、正确性、可靠性、完整性和及时性做出任何承诺和保证。若有疑问，可以通过电子邮件方式联系我们：report@aminer.cn