A characterization of certain C 2 discrete triangular interpolants
Identifieur interne : 001D24 ( Main/Exploration ); précédent : 001D23; suivant : 001D25A characterization of certain C 2 discrete triangular interpolants
Auteurs : Xiaochun Liu [République populaire de Chine] ; Yun Zhu [République populaire de Chine]Source :
- Computer Aided Geometric Design [ 0167-8396 ] ; 1995.
English descriptors
- Teeft :
- Alfeld, Barnhill, Bivariate, Boundary derivatives, Cardinal functions, Derivative, Domain triangle, Function values, Functionals, Geometric design, Interpolant, Interpolants, Interpolates, Interpolation, Linear functionals, Numerical examples, Polynomial form, Primitive function, Quintic, Quintic precision, Second derivatives, Triangle, Triangular interpolant, Triangular interpolants, Triangulation.
Abstract
Abstract: Triangular interpolants have recently become popular in the Computer Aided Geometric Design area since they are applicable to arbitrarily located data. In this paper, we characterize a certain class of C2 discrete triangular interpolants. To show that the class considered is valuable in the computer aided design environment, we create, according to the characterized result, two C2 discrete triangular interpolants which have concise expressions and thus are suitable for practical use. Numerical examples are given to show the effectiveness of the created interpolants.
Url:
DOI: 10.1016/0167-8396(94)00015-K
Affiliations:
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