{"paper":{"title":"Nonlinear Fourier analysis for discontinuous conductivities: computational results","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Juan Manuel Reyes, Kari Astala, Lassi P\\\"aiv\\\"arinta, Samuli Siltanen","submitted_at":"2013-10-25T23:33:37Z","abstract_excerpt":"Two reconstruction methods of Electrical Impedance Tomography (EIT) are numerically compared for nonsmooth conductivities in the plane based on the use of complex geometrical optics (CGO) solutions to D-bar equations involving the global uniqueness proofs for Calder\\'on problem exposed in [Nachman; Annals of Mathematics 143, 1996] and [Astala and P\\\"aiv\\\"arinta; Annals of Mathematics 163, 2006]: the Astala-P\\\"aiv\\\"arinta theory-based \"low-pass transport matrix method\" implemented in [Astala et al.; Inverse Problems and Imaging 5, 2011] and the \"shortcut method\" which considers ingredients of b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.7051","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}