Show simple item record Cezaro, Adriano de Leitão, Antônio Tai, Xue-Cheng 2011-08-19T02:18:15Z 2011-08-19T02:18:15Z 2009
dc.identifier.citation DECEZARO, A.; LEITÃO, A.; TAI, X-C. On multiple level-set regularization methods for inverse problems. Inverse Problems, v. 25, p. 035004, 2009. Disponível em: . Acesso em: 17 ago. 2011. pt_BR
dc.identifier.issn 0266-5611
dc.description.abstract We analyze a multiple level-set method for solving inverse problems with piecewise constant solutions. This method corresponds to an iterated Tikhonov method for a particular Tikhonov functional Gα based on TV–H1 penalization. We define generalized minimizers for our Tikhonov functional and establish an existence result. Moreover, we prove convergence and stability results of the proposed Tikhonov method. A multiple level-set algorithm is derived from the first-order optimality conditions for the Tikhonov functional Gα, similarly as the iterated Tikhonov method. The proposed multiple level-set method is tested on an inverse potential problem. Numerical experiments show that the method is able to recover multiple objects as well as multiple contrast levels. pt_BR
dc.language.iso eng pt_BR
dc.rights restrict access pt_BR
dc.subject Piecewise pt_BR
dc.subject Tikhonov pt_BR
dc.subject Tikhonov functional Gα pt_BR
dc.subject TV–H1 penalization pt_BR
dc.subject Multiple level-set algorithm pt_BR
dc.title On multiple level-set regularization methods for inverse problems pt_BR
dc.type article pt_BR
dc.identifier.doi 10.1088/0266-5611/25/3/035004 pt_BR

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