We present a numerical method for the detection of faults and gradient faults of two dimensional functions when uniformly scattered and noisy data are given. The method recognizes the presence of a discontinuity curve by a suitable statistic. Moreover, we discuss the recovery of such curves and provide a computational bound for the pointwise error and convergence properties.
Bozzini, M., Rossini, M. (2013). The detection and recovery of discontinuity curves from scattered data. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 240, 148-162 [10.1016/j.cam.2012.06.014].
The detection and recovery of discontinuity curves from scattered data
BOZZINI, MARIA TUGOMIRA;ROSSINI, MILVIA FRANCESCA
2013
Abstract
We present a numerical method for the detection of faults and gradient faults of two dimensional functions when uniformly scattered and noisy data are given. The method recognizes the presence of a discontinuity curve by a suitable statistic. Moreover, we discuss the recovery of such curves and provide a computational bound for the pointwise error and convergence properties.
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