On a new characterization of finite jump discontinuities and its application to vertical fault detection

Authors:
María Cruz López de Silanes;María Cruz Parra;Juan José Torrens
Affiliations:
Departamento de Matemática Aplicada, Universidad de Zaragoza, María de Luna 3, E-50018 Zaragoza, Spain;Departamento de Matemática Aplicada, Universidad de Zaragoza, María de Luna 3, E-50018 Zaragoza, Spain;Departamento de Ingeniería Matemática e Informática, Universidad Pública de Navarra, Campus de Arrosadía, E-31006 Pamplona, Spain
Venue:
Mathematics and Computers in Simulation
Year:
2008

Citing 2
Cited 1

Vertical fault detection from scattered data

Journal of Computational and Applied Mathematics - Special issue on scattered data
Vertical and oblique fault detection in explicit surfaces

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics

The detection and recovery of discontinuity curves from scattered data

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	0.00

Visualization

Abstract

The purpose of this paper is to give a new characterization of the finite jump discontinuities of multivariate functions, in terms of the divergence of sequences related to the gradients of discrete least-squares polynomial approximations of the function. We also consider how this result can be applied to vertical fault detection.