{"paper":{"title":"Integral equation models for thermoacoustic imaging of dissipative tissue","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA","physics.med-ph"],"primary_cat":"math.AP","authors_text":"Richard Kowar","submitted_at":"2010-02-25T15:25:02Z","abstract_excerpt":"In case of non-dissipative tissue the inverse problem of thermoacoustic imaging basically consists of two inverse problems. First, a function $\\phi$ depending on the \\emph{electromagnetic absorption function}, is estimated from one of three types of projections (spherical, circular or planar) and secondly, the \\emph{electromagnetic absorption function} is estimated from $\\phi$. In case of dissipative tissue, it is no longer possible to calculate explicitly the projection of $\\phi$ from the respective pressure data (measured by point, planar or line detectors). The goal of this paper is to deri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.4731","kind":"arxiv","version":1},"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"}