Inverse problems arise from the need to interpret indirect and incomplete measurements. As
an area of contemporary mathematics, the field of inverse problems is strongly driven by …

The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

This book is primarily aimed at students, researchers, and practitioners who are interested in
the computational aspects of X-ray computed tomography (CT). It is also relevant for those …

The high complexity of various inverse problems poses a significant challenge to model-
based reconstruction schemes, which in such situations often reach their limits. At the same …

Of all available reconstruction methods, statistical iterative reconstruction algorithms appear
particularly promising since they enable accurate physical noise modeling. The newly …

This book is concerned with digital image processing techniques that use partial differential
equations (PDE) for the task of image'inpainting,'an artistic term for virtual image restoration …

Network throughput can be increased by allowing multipath, adaptive routing. Adaptive
routing allows more freedom in the paths taken by messages, spreading load over physical …

Bayesian solution of an inverse problem for indirect measurement $ M= AU+{\mathcal {E}} $
is considered, where $ U $ is a function on a domain of $ R^ d $. Here $ A $ is a smoothing …

The aim of this paper is to provide researchers dealing with inverse heat transfer problems a
review of the Bayesian approach to inverse problems, the related modeling issues, and the …

The aim of X-ray tomography is to reconstruct an unknown physical body from a collection of
projection images. When the projection images are only available from a limited angle of …