PASCAL - Pattern Analysis, Statistical Modelling and Computational Learning

Kubični zlepki z majhno prožnostno energijo
Gašper Jaklic and Emil Žagar
Obz. mat. fiz. Volume 56, Number 2, pp. 48-60, 2009. ISSN 0473-7466


In the paper one of the basic interpolation problems is considered. A sequence of points in the plane is given. Our goal is to find an interpolatory curve which fits the data “nicely”. Cubic splines are used and a method, which minimizes the approximate strain energy of the curve. Conditions on the existence of the interpolant, which has a nice shape (it is regular, loop-, cusp- and fold-free), are derived and a simple local geometric construction is presented.

EPrint Type:Article
Project Keyword:Project Keyword UNSPECIFIED
Subjects:Theory & Algorithms
ID Code:8210
Deposited By:Boris Horvat
Deposited On:21 February 2012