Vertical fault detection from scattered data
This paper contains the problem of detecting vertical faults in explicit surfaces from sets of data points. In geology or geophysics, the reconstruction of a faulted surface from a set of scattered data points is a common problem. In this paper, the focus is on a method to detect vertical faults, modelled as jump discontinuities of the function \(f\) on the set \(F\). First, the authors establish a characterization of jump discontinuities for bivariate functions. Next, the authors derive a detection method of vertical faults in surfaces which takes as input a set of scattered data points. Finally, some numerical and graphical examples are given.
scientific article; zbMATH DE number 947633