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Reconstruction from Integral Data

| £83.28 | €93.66 | Ca$135.11 | Au$133.34
by Victor Palamodov
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Reconstruction from Integral Data by Victor Palamodov

Reconstruction of a function from data of integrals is used for problems arising in diagnostics, including x-ray, positron radiography, ultrasound, scattering, sonar, seismic, impedance, wave tomography, crystallography, photo-thermo-acoustics, photoelastics, and strain tomography.

Reconstruction from Integral Data presents both long-standing and recent mathematical results from this field in a uniform way. The book focuses on exact analytic formulas for reconstructing a function or a vector field from data of integrals over lines, rays, circles, arcs, parabolas, hyperbolas, planes, hyperplanes, spheres, and paraboloids. It also addresses range characterizations. Coverage is motivated by both applications and pure mathematics.

The book first presents known facts on the classical and attenuated Radon transform. It then deals with reconstructions from data of ray (circle) integrals. The author goes on to cover reconstructions in classical and new geometries. The final chapter collects necessary definitions and elementary facts from geometry and analysis that are not always included in textbooks.

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Ebook Details
Pages: 172
Size: 3.4 MB
Publisher: Chapman and Hall/CRC
Date published:   2016
ISBN: 9781498710114 (DRM-PDF)

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This product is listed in the following categories:

Nonfiction > Mathematics > Differential Equations
Nonfiction > Mathematics > Graphic Methods
Nonfiction > Mathematics > Functional Analysis

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