Thermoacoustic tomography arising in brain imaging
نویسندگان
چکیده
منابع مشابه
Thermoacoustic Tomography Arising in Brain Imaging
We study the mathematical model of thermoacoustic and photoacoustic tomography when the sound speed has a jump across a smooth surface. This models the change of the sound speed in the skull when trying to image the human brain. We derive an explicit inversion formula in the form of a convergent Neumann series under the assumptions that all singularities from the support of the source reach the...
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Thermoacoustic computed tomography (thermoacoustic CT) has thepotential to become a mayor non-invasive medical imaging method. Inthis paper we derive a general mathematical framework of a novel mea-suring setup introduced in [5]. It takes measuring data of line detectorsand offers better imaging resolution than conventional approaches basedon point-data approximation. We...
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The effects of acoustic heterogeneities on transcranial brain imaging with microwave-induced thermoacoustic tomography were studied. A numerical model for calculating the propagation of thermoacoustic waves through the skull was developed and experimentally examined. The model takes into account wave reflection and refraction at the skull surfaces and therefore provides improved accuracy for th...
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Computerized tomography has had a huge impact on medical diagnostics. Numerous methods of tomographic medical imaging have been developed and are being developed (e.g., the ‘standard’ X-ray, single-photon emission, positron emission, ultrasound, magnetic resonance, electrical impedance, optical) [62, 67, 84–86]. The designers of these modalities strive to increase the image resolution and contr...
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The circular Radon transform integrates a function over the set of all spheres with a given set of centers. The problem of injectivity of this transform (as well as inversion formulas, range descriptions, etc.) arises in many fields from approximation theory to integral geometry, to inverse problems for PDEs, and recently to newly developing types of tomography. A major breakthrough in the 2D c...
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ژورنال
عنوان ژورنال: Inverse Problems
سال: 2011
ISSN: 0266-5611,1361-6420
DOI: 10.1088/0266-5611/27/4/045004