Result: Smooth natural neighbour interpolants over the whole domain
Title:
Smooth natural neighbour interpolants over the whole domain
Authors:
Source:
Computational methods in computer graphics and scientific visualisationInternational journal of computational science and engineering (Print). 3(1):3-13
Publisher Information:
Genève: Inderscience, 2007.
Publication Year:
2007
Physical Description:
print, 1/4 p
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Sciences exactes et technologie, Exact sciences and technology, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Intelligence artificielle, Artificial intelligence, Reconnaissance des formes. Traitement numérique des images. Géométrie algorithmique, Pattern recognition. Digital image processing. Computational geometry, Base donnée multidimensionnelle, Multidimensional database, Base dato multidimensional, Diagramme Voronoï, Voronoï diagram, Diagrama Voronoi, Infographie, Computer graphics, Gráfico computadora, Interpolation multivariable, Multivariate interpolation, Interpolación multivariable, Modélisation, Modeling, Modelización, Méthode sans maille, Meshless method, Método sin malla, Méthode élément fini, Finite element method, Método elemento finito, Voronoi diagram, finite element method, meshless method, natural element method, natural neighbour interpolation
Document Type:
Conference
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Department of Computer Science, Faculty of Engineering, Gunma University, Kiryu, Japan
Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo, Tokyo, Japan
Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo, Tokyo, Japan
ISSN:
1742-7185
Rights:
Copyright 2007 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Accession Number:
edscal.19083918
Database:
PASCAL Archive
Further Information
The natural neighbour interpolation is a potential interpolation method for multidimensional data. However, only globally C' interpolants have been known so far. In this paper we propose a globally C2 interpolant, and write it in an explicit form. When the data are supplied to the interpolant from a third-degree polynomial, the interpolant can reproduce that polynomial exactly. The idea used to derive the interpolant is applicable to obtain a globally Cq interpolant for an arbitrary non-negative integer q. Hence, this paper gets rid of the continuity limitation of the natural neighbour interpolation, and thus leads it to a new research stage.