PASCAL - Pattern Analysis, Statistical Modelling and Computational Learning

Shape preserving interpolation by cubic G [sup] 1 splines in R [sup] 3
Gašper Jaklic and Emil Žagar
In: Conference on Applied Mathematics and Scientific Computing : ApplMath, 9-13 July 2007, Brijuni islands, Croatia.

Abstract

In this paper, G 1 continuous cubic spline interpolation of data points in R3 , based on a discrete approximation of the strain energy, is studied. Simple geometric conditions on data are presented that guarantee the existence of the interpolant. The interpolating spline is regular, loop-, cusp- and fold-free.

EPrint Type:Conference or Workshop Item (Talk)
Project Keyword:Project Keyword UNSPECIFIED
Subjects:Theory & Algorithms
ID Code:8211
Deposited By:Boris Horvat
Deposited On:21 February 2012