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Integral Geometry of Tensor Fields

Inverse and Ill-Posed Problems Series

V.A. Sharafutdinov

Integral geometry can be defined as determining somefunction or a more general quantity, which is defined on a manifold,given its integrals over submanifolds of a prescribed class. In thisbook only integral geometry problems are considered for which thesubmanifolds are one-dimensional.

The book deals with integral geometry of symmetric tensor fields. Thissection of integral geometry can be considered as the mathematical basisfor tomography of anisotropic media whose interaction with soundingradiation depends essentially on the direction in which the latterpropagates.

The main mathematical objects tackled have been given the term ``raytransform'' which refers mainly to optical and seismic rays rather thanto X-rays.

This book will be of value and interest to mathematicians, engineers,computer scientists and physicists who are working in the fields oflightconductor technology, plasma physics, tomography and liquidcrystals.

1994; 274 pages
ISBN 90-6764-165-X
Price (all prices are subject to change without notice): EUR 166/US$ 237

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