The detection and recovery of discontinuity curves from scattered data

• Autores: Mira Bozzini, Milvia Rossini
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 240, Nº 1, 2013, págs. 148-162
• Idioma: inglés
• DOI: 10.1016/j.cam.2012.06.014
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• Resumen

  • 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.