Approximation of discontinuous curves and surfaces with tangent conditions

Authors:
A. Kouibia;A. J. López-Linares;M. Pasadas
Affiliations:
Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, Granada, Spain and Faculté Polydisciplinaire de Taza, Morroco;Departamento de Matemática Aplicada, Escuela de Arquitectura Técnica, Universidad de Granada, Granada, Spain;Departamento de Matemática Aplicada, ETSI Caminos, C. y P., Universidad de Granada, Granada, Spain
Venue:
Journal of Computational and Applied Mathematics
Year:
2006

Citing 5
Cited 1

Regularization of inverse visual problems involving discontinuities

IEEE Transactions on Pattern Analysis and Machine Intelligence
Convergence rates for multivariate smoothing spline functions

Journal of Approximation Theory
Fairness approximation by modified discrete smoothing Dm-splines

Proceedings of the international conference on Mathematical methods for curves and surfaces II Lillehammer, 1997
Approximation by discrete variational splines

Journal of Computational and Applied Mathematics
Approximation of curves by fairness splines with tangent conditions

Journal of Computational and Applied Mathematics

A note on the discrete approximation of discontinuous curves and surfaces

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	7.29

Visualization

Abstract

We deal with a smoothing method of constructing some discontinuous curve or surface from a Lagrangean data and tangent conditions. Such method is based on the theory of smoothing variational splines conveniently adapted to introduce the tangent condition and the discontinuity set. To show the efficiency of our method we finish this work by a convergence result and some numerical and graphical examples.