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Dynamic emission tomography - regularization and inversion
Emission tomography subtracting the poison radon pathology emission source static pathological inverse
2015/8/11
The problem of emission tomography, inverting the attenuated Radon transform, is moderately ill-posed if the unknown emission source is static. Here we consider the case where the emission source is d...
Variational Iterative Algorithms in Photoacoustic Tomography with Variable Sound Speed
Variational Iterative Algorithms Photoacoustic Tomography
2014/9/26
In this paper, we investigate the adjoint equation in photoacoustic tomography with
variable sound speed, and propose three variational iterative algorithms. The basic
idea of these algorithms is to...
Numerical Solution of the Tomography Problem in Domains with Obstacles
Numerical Solution the Tomography Problem Obstacles Numerical Analysis
2011/8/26
Abstract: We study numerical methods of tomography in domains with a reflecting obstacle. It will be shown that tomography with sets containing both broken rays, i.e. rays reflecting at the obstacle, ...
Calibration for Ultrasound Breast Tomography Using Matrix Completion
Calibration Ultrasound Breast Tomography Matrix Completion
2011/3/3
We study the calibration problem in circular ultrasound tomography devices for breast imaging, where the sensor positions deviate from the circumference of a perfect circle.
Error probability analysis in quantum tomography: a tool for evaluating experiments
Error probability analysis quantum tomography tool for evaluating experiments
2010/12/15
We expand the scope of the statistical notion of error probability, i.e., how often large deviations are observed in an experiment, in order to make it directly applicable to quantum tomography. We ve...
We propose a stable algorithm for the reconstruction of the internal conductivity of a biological object using acousto-electric measurements. Namely, the conventional impedance tomography scheme is s...
Thermoacoustic tomography arising in brain imaging
Thermoacoustic tomography arising brain imaging
2010/12/1
The basic notions of category theory, such as limit, adjunction, and orthogonality, all involve
assertions of the existence and uniqueness of certain arrows. Weak notions arise when one drops
the un...