Vertical and oblique fault detection in explicit surfaces

Authors:
María Cruz López de Silanes;María Cruz Parra;Juan José Torrens
Affiliations:
-;-;-
Venue:
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
Year:
2002

Citing 3
Cited 2

Detection, classification, and measurement of discontinuities

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Vertical fault detection from scattered data

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2D-discontinuity detection from scattered data

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

Mathematics and Computers in Simulation
The detection and recovery of discontinuity curves from scattered data

Journal of Computational and Applied Mathematics

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Abstract

The purpose of this paper is to study the problem of detection of vertical and oblique faults in explicit surfaces. First, we characterize the finite jump discontinuities of a univariate function in terms of the divergence of sequences related to the slopes of least-squares polynomial approximations of the function. Then, we propose an algorithm to locate the finite jump discontinuities of a univariate function and its first derivative from a finite set of scattered data values of the function. As a consequence, we derive a method to detect vertical and oblique faults in explicit surfaces when the data sets are distributed along lines. We finally present some numerical and graphical examples.