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Generalized Radon Transforms and Imaging by Scattered Particles: Broken Rays,

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See the ...
Book Title
Generalized Radon Transforms and Imaging by Scattered Particles:
Publication Date
2023-04-14
Pages
248
ISBN
9789811242434
Publication Year
2023
Type
Textbook
Format
Hardcover
Language
English
Publication Name
Generalized Radon Transforms and Imaging by Scattered Particles : Broken Rays, Cones, and Stars in Tomography
Author
Gaik Ambartsoumian
Publisher
World Industries Scientific Publishing Co Pte LTD
Number of Pages
250 Pages

About this product

Product Information

A generalized Radon transform (GRT) maps a function to its weighted integrals along a family of curves or surfaces. Such operators appear in mathematical models of various imaging modalities. The GRTs integrating along smooth curves and surfaces (lines, planes, circles, spheres, amongst others) have been studied at great lengths for decades, but relatively little attention has been paid to transforms integrating along non-smooth trajectories. Recently, an interesting new class of GRTs emerged at the forefront of research in integral geometry. The two common features of these transforms are the presence of a 'vertex' in their paths of integration (broken rays, cones, and stars) and their relation to imaging techniques based on physics of scattered particles (Compton camera imaging, single scattering tomography, etc).This book covers the relevant imaging modalities, their mathematical models, and the related GRTs. The discussion of the latter comprises a thorough exploration of their known mathematical properties, including injectivity, inversion, range description and microlocal analysis. The mathematical background required for reading most of the book is at the level of an advanced undergraduate student, which should make its content attractive for a large audience of specialists interested in imaging. Mathematicians may appreciate certain parts of the theory that are particularly elegant with connections to functional analysis, PDEs and algebraic geometry.

Product Identifiers

Publisher
World Industries Scientific Publishing Co Pte LTD
ISBN-10
9811242437
ISBN-13
9789811242434
eBay Product ID (ePID)
14058621367

Product Key Features

Author
Gaik Ambartsoumian
Publication Name
Generalized Radon Transforms and Imaging by Scattered Particles : Broken Rays, Cones, and Stars in Tomography
Format
Hardcover
Language
English
Publication Year
2023
Type
Textbook
Number of Pages
250 Pages

Additional Product Features

Lc Classification Number
Qa672.A43 2023
Topic
General
Lccn
2022-037836
Dewey Decimal
515/.723
Dewey Edition
23/Eng20221209
Illustrated
Yes
Genre
Mathematics

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