This work deals with the inverse thermoacoustic tomography (TAT) problem. It is a biomedical, multi-wave imaging technique, based on the photoacoustic effect (generation of sound from light) that was discovered in 1880 by Alexander Graham Bell. The inverse problem we are concerned in is the inverse source problem of recovering small absorbers in a bounded domain ##IMG## [http://ej.iop.org/images/0266-5611/36/6/065010/ipab8862ieqn1.gif] {${\Omega}\subset {\mathbb{R}}^{3}$} without following the quantitative thermoacoustic tomography approach. In our work, we follow a direct algebraic algorithm, that was first developed in Badia and Ha-Duong (2001 Inverse Problems 17 1127), which allows us to reconstruct the number of absorbers, their locations, and some information about the conductivity coefficient directly from the wave equation with constant sound speed, and using a single data, without the knowledge of the coupling Grüneisen’s coeffi...

中文翻译：

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从单个数据重建热声层析成像问题中小型吸收体的直接算法

这项工作涉及逆热声层析成像（TAT）问题。这是一种生物医学的多波成像技术，它基于亚历山大·格雷厄姆·贝尔（Alexander Graham Bell）在1880年发现的光声效应（从光产生声音）。我们关注的逆问题是在有界域中恢复小型吸收体的逆源问题。## IMG ## [http://ej.iop.org/images/0266-5611/36/6/065010/ipab8862ieqn1。 gif] {$ {\ Omega} \ subset {\ mathbb {R}} ^ {3} $}，而无需遵循定量热声层析成像方法。在我们的工作中，我们遵循直接代数算法，该算法最早是在Badia和Ha-Duong（2001 Inverse Problems 17 1127）中开发的，它使我们能够重构吸收器的数量，它们的位置，