The cone-beam approach for image reconstruction attracts an increasing attention in various applications, especially medical imaging. Previously, the traditional practical cone-beam reconstruction method, the Feldkamp algorithm, was generalized into the case of spiral/helical scanning loci with equispatial cone-beam projection data. In this paper, we formulated the generalized Feldkamp algorith...

We introduce viscosity approximations by using the shrinking projection method established by Takahashi, Takeuchi, and Kubota, for finding a common element of the set of solutions of the generalized equilibrium problem and the set of fixed points of a quasi-nonexpansive mapping. Furthermore, we also consider the viscosity shrinking projection method for finding a common element of the set of so...

In this work we focus on situation calculus action theories over generalized databases with equality constraints, here called GFDBs, which are able to finitely represent complete information over a possibly infinite number of objects. We contribute with the following: i) we show that GFDBs characterize the class of definitional KBs and that they are closed under progression; ii) we show that te...