Quantum process tomography is a procedure by which an unknown quantum operation can be fully experimentally characterized. We reinterpret Choi’s proof of the fact that any completely positive linear map has a Kraus representation [Lin. Alg. and App., 10, 1975] as a method for quantum process tomography. Furthermore, the analysis for obtaining the Kraus operators are particularly simple in this ...

A new kind of discrete tomography problem is introduced: the reconstruction of discrete sets from their absorbed projections. A special case of this problem is discussed, namely, the uniqueness of the binary matrices with respect to their absorbed row and column sums when the absorption coefficient is = log((1+√5)/2). It is proved that if a binary matrix contains a special structure of 0s and 1...

The radiological and tomographic aspects of the sternoclavicular joint were examined in 10 patients with psoriatic arthritis to evaluate better how this joint was affected using different radiological techniques. Imaging of the sternoclavicular joint showed that computed tomography provides a better visualisation of erosions, subchondral cysts, and sclerosis than standard radiography and conven...

We study the problem of recovery the source a.t;x/F.x/ in the wave equation in anisotropic medium with a known so that a.0;x/ 6D 0 with a single measurement. We use Carleman estimates combined with geometric arguments and give sharp conditions for uniqueness. We also study the non-linear problem of recovery the sound speed in the equation utt c .x/u D 0with one measurement. We give sharp condi...

Knowledge of the statistical properties of reconstructed single photon emission computed tomography (SPECT) and positron emission tomography (PET) images would be helpful for optimizing acquisition and image processing protocols. We describe a non-parametric bootstrap approach to accurately estimate the statistical properties of SPECT or PET images whatever the noise properties in the projectio...

This paper proposes a new discrete optimization framework for tomographic reconstruction and segmentation of CT volumes when only a few projection views are available. The problem has important clinical applications in coronary angiographic imaging. We first show that the limited view reconstruction and segmentation problem can be formulated as a "constrained" version of the metric labeling pro...

This study evaluated the TMJ images of normal subjects and of those who presented TMD (temporomandibular disorders) using linear tomography at rest position. Craniomandibular Index (CMI) and a questionnaire on subjective symptoms were used to assess 217 subjects aged 12 to 18 years. Those with the highest and the lowest scores were divided into Control (n = 20) and TMD groups (n = 20), respecti...

Due to its unique capability of visualizing optical absorption in deep tissues, photoacoustic tomography is increasingly used in biomedical imaging. Among various types of transducer arrays, the linear array is perhaps the most widely used in photoacoustic tomography because it is commercially available and readily allows ultrasound imaging. However, the three-dimensional imaging capability of ...

The problem of reconstructing finite subsets of the integer lattice from X-rays has been studied in discrete mathematics and applied in several fields like image processing, data security, electron microscopy. In this paper we focus on the stability of the reconstruction problem for some lattice sets. First we show some theoretical bounds for additive sets, and a numerical experiment is made by...

Optical systems capable of three-dimensional transmission imaging are considered; these systems employ a conventional tomographic setup with an added linear shift-invariant optical system between the sample and the detector. A theoretical analysis is presented of image formation and sample reconstruction in such systems, examples of which include diffraction tomography and phase-contrast tomogr...