This paper describes the theory of pixon-based image reconstruction. After a brief introduction of the basic concepts of the pixon, the paper concentrates primarily on our current implementation of the techniques along with the approximations and shortcuts that seem to provide practical software algorithms. We then present an example of application of the method to astrophysical data.

We present an approximate algorithm for image reconstruction in spiral cone-beam CT at small cone-angles. The rst step of the algorithm is a rebinning from fanbeam to parallel beam projections, that is performed independently for each detector row. The result of this rebinning procedure is a set of parallel views, where all rays are tilted against the z-axis by their cone angle and the rays wit...

Introduction: Gastric emptying, distention and intragastric secretion and mixing are important factors in pathogenesis of gastro-intestinal diseases such as gastro-esophageal reflux disease (GERD). Recently a noninvasive method for quantification of gastric secretion was proposed based on combined T1 and B1 mapping (T1B1) [1]. The main drawbacks of this method are motion and flow sensitivity wh...