Item description for Reconstructive Integral Geometry (Monographs in Mathematics) by Victor Palamodov...
This book covers facts and methods for the reconstruction of a function in a real affine or projective space from data of integrals, particularly over lines, planes, and spheres. Recent results are collected stressing explicit analytic methods. Another focus consists of the relations between algebraic integral geometry and partial differential equations. A concise basic course in harmonic analysis and distribution theory is given in the first chapter. The first half of the book includes the ray, the spherical mean transforms in the plane or in 3-space, and inversion from incomplete data. It will be of particular interest to application oriented readers. Further chapters are devoted to the Funk-Radon transform on algebraic varieties of arbitrary dimension. The material appeals to graduates and researchers in pure and applied mathematics who are interested in image reconstruction, inverse problems or functional analysis.
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Est. Packaging Dimensions: Length: 9.13" Width: 6.38" Height: 0.63" Weight: 1.15 lbs.
Release Date Aug 20, 2004
Publisher Birkhäuser Basel
ISBN 3764371293 ISBN13 9783764371296
Availability 142 units. Availability accurate as of Jan 17, 2017 11:45.
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Reviews - What do customers think about Reconstructive Integral Geometry (Monographs in Mathematics)?
For those who want to look more deeply into tomography Mar 19, 2008
This book is an excellent bridge to the more advanced mathematical literature, and a good follow up to Natterer's review of the subject. The contributions of Gelfand and his school to this beautiful subject are deep and wide ranging, and well worth pursuing.
Problems with typos in this edition, and skimpy detail on some of the proofs do subtract somewhat from the overall rating, however. I hope the author will produce a second edition.