As a breast-imaging technique, digital breast tomosynthesis has great potential to improve the diagnosis of early breast cancer over mammography. Ray-tracing-based reconstruction algorithms, such as ray-tracing back projection, maximum-likelihood expectation maximization (MLEM), ordered-subset MLEM (OS-MLEM), and simultaneous algebraic reconstruction technique (SART), have been developed as rec...

In this paper, we investigated a C-arm tomographic technique as a new three dimensional (3D) kidney imaging method for nephrolithiasis and kidney stone detection over view angle less than 180o. Our C-arm tomographic technique provides a series of two dimensional (2D) images with a single scan over 40o view angle. Experimental studies were performed with a kidney phantom that was formed from a p...

The prime motivation of this work is to devise a projection algorithm that makes the Algebraic Reconstruction Technique (ART) and related methods more efficient for routine clinical use without compromising their accuracy. While we focus mostly on a fast implementation of ART-type methods in the context of 3D cone-beam reconstruction, most of the material presented here is also applicable to sp...

Simultaneous algebraic reconstruction technique (SART) [1, 2] is an iterative method for solving inverse problems of form Ax(+n) = b. This type of problems arises for example in computed tomography reconstruction, in which case A is obtained from discrete Radon transform. In this paper, we provide several methods for derivation of SART and connections between SART and other methods. Using these...

We formulate a block-iterative algorithmic scheme for the solution of systems of linear inequalities and/or equations and analyze its convergence. This study provides as special cases proofs of convergence of (i) the recently proposed component averaging (CAV) method of Censor, Gordon, and Gordon [Parallel Comput., 27 (2001), pp. 777–808], (ii) the recently proposed block-iterative CAV (BICAV) ...

The prime motivation of this work is to devise techniques that make the Algebraic Reconstruction Technique (ART) and related methods more efficient for routine clinical use, while not compromising their accuracy. In particular, we strive to push the overall cost for a ART reconstruction as close as possible to the theoretical cost for a reconstruction obtained with Filtered Backprojection (FBP)...

BACKGROUND After the release of compressed sensing (CS) theory, reconstruction algorithms from sparse and incomplete data have shown great improvements in diminishing artifacts of missing data. Following this progress, both local and non-local regularization induced iterative reconstructions have been actively used in limited view angle imaging problems. METHODS In this study, a 3D iterative ...

The Algebraic Reconstruction Technique (ART), based on the well known algorithm proposed by S. Kaczmarz in 1937, is one of the most important class of solution methods for image reconstruction problems. But unfortunately, almost all the methods from the ART class give satisfactory results only in the case of consistent problems. In the inconsistent case (and unfortunately this is what happens i...

Event-Related Potentials (ERPs) provide non invasive measurements of the electrical activity on the scalp that are linked to the presentation of stimuli and events. Brain mapping techniques are able to provide evidence on the solution of debatable issues in cognitive science. In this paper, an effective signal classification approach is proposed, extending the use of two inversion techniques: t...