This paper considers the problem of determination of a planar vector field when its Doppler data are modified by the presence of an unknown scalar field. Such a problem occurs in the investigation of velocity distribution in a flow through media of variable sound speed. We show that the curl of the vector field can be stably recovered. In absorbing media the integrals are weighted to account for the attenuation along the path. When the boundary values of the vector field are known, its solenoidal part is determined from its curl. We use Bukhgeim\u27s approach to the problem of tomography. © 2007 IOP Publishing Ltd
International audienceWhen measuring three-dimensional phenomena such as flow fields or acoustic fie...
The 3D Doppler transform maps a vector eld to its line integrals over that component of the eld whic...
With the rapid development of X-ray source and detector technologies, multi-source scanners become a...
The problem considered is to reconstruct a vector field in the case when for each line the distribut...
In ordinary tomography the objective is to reconstruct a scalar function f from all its line integra...
The measurement of flow obtained using continuous wave Doppler ultrasound is formulated as a directi...
Ultrasound techniques allow us to measure the integral of the inner product of a vector field with ...
Velocity spectra of a flow can be made by ultrasound Doppler measurements. Using only part of the in...
An experimental system has been developed to verify the possibility of detecting flow activity using...
We present a new computational method for reconstructing a vector field from scattered, pulsed-wave ...
Inner product probe measurements are defined for tomographic reconstruction of 3-D vector fields. It...
The tomographic imaging of vector fields on bounded domains is considered. Reconstruction formulas f...
Abstract- The Problem of tomographic reconstruc-tion of the velocity vector field in quasisteady lo~...
Graduation date: 20153D vector tomography has been explored and results have been achieved in the la...
In vector tomography (VT), the aim is to reconstruct an unknown multi-dimensional vector field using...
International audienceWhen measuring three-dimensional phenomena such as flow fields or acoustic fie...
The 3D Doppler transform maps a vector eld to its line integrals over that component of the eld whic...
With the rapid development of X-ray source and detector technologies, multi-source scanners become a...
The problem considered is to reconstruct a vector field in the case when for each line the distribut...
In ordinary tomography the objective is to reconstruct a scalar function f from all its line integra...
The measurement of flow obtained using continuous wave Doppler ultrasound is formulated as a directi...
Ultrasound techniques allow us to measure the integral of the inner product of a vector field with ...
Velocity spectra of a flow can be made by ultrasound Doppler measurements. Using only part of the in...
An experimental system has been developed to verify the possibility of detecting flow activity using...
We present a new computational method for reconstructing a vector field from scattered, pulsed-wave ...
Inner product probe measurements are defined for tomographic reconstruction of 3-D vector fields. It...
The tomographic imaging of vector fields on bounded domains is considered. Reconstruction formulas f...
Abstract- The Problem of tomographic reconstruc-tion of the velocity vector field in quasisteady lo~...
Graduation date: 20153D vector tomography has been explored and results have been achieved in the la...
In vector tomography (VT), the aim is to reconstruct an unknown multi-dimensional vector field using...
International audienceWhen measuring three-dimensional phenomena such as flow fields or acoustic fie...
The 3D Doppler transform maps a vector eld to its line integrals over that component of the eld whic...
With the rapid development of X-ray source and detector technologies, multi-source scanners become a...
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