On a new characterization of finite jump discontinuities and its application to vertical fault detection
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. (c) 2007 IMACS. Published by Elsevier B.V. All rights reserved.
finite jump discontinuity vertical fault explicit surfaces discontinuous functions