Learn More
— To meet fast changing demands on modern software architectures the ambition to shorten and improve software development processes has increased. The approach of model-driven software development focuses models as specification of software and on transformations of those models to finally get source code. The advantage of the model-driven approach still(More)
In order to increase efficiency, enterprises support their business processes by information technology (IT). The majority of business processes requires human interaction. By means of human interaction the complexity of the supporting IT grows. Model-driven approaches to software development are a promising solution to be able to cope with this complexity.(More)
We consider the problem of three-dimensional vector tomography, that means the reconstruction of vector fields and their curl from line integrals over certain components of the field. It is well known that only the solenoidal part of the field can be recovered from these data. In this paper the method of approximate inverse is modified for vector fields and(More)
The approximate inverse is a powerful tool for solving first kind operator equations in a stable way. Its abstract convergence and stability theory developed in our articles [SIAM 2003] is applied to the reconstruction problem of 3D-vector field tomography resulting in a reconstruction algorithm of filtered backprojection type. For an analytically computed(More)
The approximate inverse is a scheme to obtain stable numerical inversion formull for linear operator equations of the rst kind. Yet, in some applications the computation of a crucial ingredient, the reconstruction kernel, is time-consuming and instable. It may even happen that the kernel does not exist for a particular semi-discrete system. To cure this(More)
This article provides a framework to regularize operator equations of the first kind where the underlying operator is linear and continuous between distribution spaces, the dual spaces of smooth functions. To regularize such a problem, the authors extend Louis' method of approximate inverse from Hilbert spaces to distribution spaces. The idea is to(More)
The approximate inverse is a scheme for constructing stable inversion formulas for operator equations. Originally, it is defined on L 2-spaces. In the present article we extend the concept of approximate inverse to more general settings which allow us to investigate the discrete version of the approximate inverse which actually underlies numerical(More)