Items related to Integral Geometry of Tensor Fields
Synopsis
Integral geometry can be defined as determining some function or a more general quantity, which is defined on a manifold, given its integrals over submanifolds or a prescribed class. In this book, only integral geometry problems are considered for which the submanifolds are one-dimensional. The book deals with integral geometry of symmetric tensor fields. This section of integral geometry can be considered as the mathematical basis for tomography or anisotropic media whose interaction with sounding radiation depends essentially on the direction in which the latter propagates. The main mathematical objects tackled have been give the term "ray transform", which refers mainly to optical and seismic rays rather than to X-rays. This book should be of interest to mathematicians, engineers, computer scientists and physicists who are woking in the fields of light-conductor technology, plasma physics tomography and liquid crystals.
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