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Reconstructive Integral Geometry
Victor Palamodov
€ 123.60
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Description for Reconstructive Integral Geometry
Hardback. 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. This book also covers the relations between algebraic integral geometry and partial differential equations. Series: Monographs in Mathematics. Num Pages: 176 pages, biography. BIC Classification: PBMP. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 14. Weight in Grams: 540.
One hundred years ago (1904) Hermann Minkowski [58] posed a problem: to re 2 construct an even function I on the sphere 8 from knowledge of the integrals MI (C) = fc Ids over big circles C. Paul Funk found an explicit reconstruction formula for I from data of big circle integrals. Johann Radon studied a similar problem for the Eu clidean plane and space. The interest in reconstruction problems like Minkowski Funk's and Radon's has grown tremendously in the last four decades, stimulated by the spectrum of new modalities of image reconstruction. These are X-ray, MRI, gamma and positron ... Read more
One hundred years ago (1904) Hermann Minkowski [58] posed a problem: to re 2 construct an even function I on the sphere 8 from knowledge of the integrals MI (C) = fc Ids over big circles C. Paul Funk found an explicit reconstruction formula for I from data of big circle integrals. Johann Radon studied a similar problem for the Eu clidean plane and space. The interest in reconstruction problems like Minkowski Funk's and Radon's has grown tremendously in the last four decades, stimulated by the spectrum of new modalities of image reconstruction. These are X-ray, MRI, gamma and positron ... Read more
Product Details
Format
Hardback
Publication date
2004
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
176
Condition
New
Series
Monographs in Mathematics
Number of Pages
164
Place of Publication
Basel, Switzerland
ISBN
9783764371296
SKU
V9783764371296
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Reconstructive Integral Geometry
"This book is an excellent overview of the field of integral geometry with emphasis on the functional analytic and differential geometric aspects. The author proves theorems for some of the most important Radon transforms, including transforms on hyperplanes, k-planes, lines, and spheres, and he investigates incomplete (limited) data problems including microlocal analytic issues…This book contains many treasures in integral geometry…and ... Read more