\(C^2\)- (\(C^3\)-)continuous interpolation spline curve and surface
type: Item
instance of: scholarly article
title: \(C^2\)- (\(C^3\)-)continuous interpolation spline curve and surface
zbMATH Open document ID: 0907.65014
DOI: 10.1007/BF02943192
author: Kui Fang
author: Jianrong Tan
author: Guo-Qing Zhu
published in: Journal of Computer Science and Technology
publication date: 1998-09-15T00:00:00Z
review text: The authors develop an approach to the regular interpolation of given 2D or 3D data which are ordered in a certain reasonable way. The interpolants are constructed by tensor products of one-dimensional splines. At first a method of \(C^2\) biquintic composite surfaces is presented. Then a \(C^3\) interpolation spline surface construction method is considered. Some desirable properties of the presented interpolation schemes, such as second-order or third-order continuity, locality, readiness of implementation, are established. Finally, a numerical example to illustrate the new method is given.
reviewed by: Valery V. Kobkov
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65D05
zbMATH DE Number: 1164239
zbMATH Keywords: interpolation
zbMATH Keywords: spline curves
zbMATH Keywords: spline surfaces
zbMATH Keywords: computer-aided geometric design
zbMATH Keywords: numerical example
MaRDI profile type: Publication
cites work: A survey of curve and surface methods in CAGD
cites work: Q4178157
full work available at URL: https://doi.org/10.1007/bf02943192
OpenAlex ID: W2015523407
description: scientific article; zbMATH DE number 1164239