Vector Field Tomography
نویسنده
چکیده
Computerized tomography usually deals with the determination of scalar quantities from integral information along lines. During the 90's tomographic methods have been developed that enable (at least partial) recovery also of vector elds from integral information. Depending on which component of the vector eld is considered, e.g. the ones parallel or transversal to the line, diierent characteristics of the ow can be reconstructed, e.g. the vorticity or the divergence. Using supplementary information, notably boundary conditions, complete reconstruction is possible in certain circumstances. Some important measuring principles are transmission time-of-ight and Doppler, either by acoustic or optic radiation. The paper overviews the basic mathematical results and application areas for vector eld tomography.
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