Uniqueness Questions in Reconstruction of Multidimensional Objects from Tomography-Type Projection Data: 21 (Inverse and Ill-Posed Problems Series, 21) - Hardcover

Golubyatnikov, V. P.

 
9789067643320: Uniqueness Questions in Reconstruction of Multidimensional Objects from Tomography-Type Projection Data: 21 (Inverse and Ill-Posed Problems Series, 21)

Inhaltsangabe

01/07 This title is now available from Walter de Gruyter. Please see www.degruyter.com for more information. The first part of this new volume in the Inverse and Ill-Posed Problems Series studies uniqeness questions for recovering the shapes of the convex and more complicated bodies from shapes of their projections onto planes of low dimension. Some stability estimates of the solutions to these inverse problems are given. The second part deals with inverse problems with projection data directly connected to tomography, in partcular to apparent contours of smooth surfaces, which have practical interpretations such as thin cracks in continuous media which are studied in industrial defectoscopy, caustic surfaces which are studies in wave optics, etc. New results on reconstruction of smooth surfaces from observations of the wave fronts generated by these surfaces are obtained.

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Reseña del editor

01/07 This title is now available from Walter de Gruyter. Please see www.degruyter.com for more information. The first part of this new volume in the Inverse and Ill-Posed Problems Series studies uniqeness questions for recovering the shapes of the convex and more complicated bodies from shapes of their projections onto planes of low dimension. Some stability estimates of the solutions to these inverse problems are given. The second part deals with inverse problems with projection data directly connected to tomography, in partcular to apparent contours of smooth surfaces, which have practical interpretations such as thin cracks in continuous media which are studied in industrial defectoscopy, caustic surfaces which are studies in wave optics, etc. New results on reconstruction of smooth surfaces from observations of the wave fronts generated by these surfaces are obtained.

Reseña del editor

The first part of this new volume in the Inverse and Ill-Posed Problems Series studies uniqueness questions for recovering the shapes of the convex and more complicated bodies from shapes of their projections onto planes of low dimension. Some stability estimates of the solutions to these inverse problems are given. The second part deals with inverse problems with projection data directly connected to tomography, in particular to apparent contours of smooth surfaces, which have practical interpretations such as thin cracks in continuous media which are studied in wave optics, etc. New results on reconstruction of smooth surfaces from observations of the wave fronts generation by these surfaces are obtained. This book should be of interest to researchers in the fields of inverse problems, integral geometry and tomography.

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9783110364156: Uniqueness Questions in Reconstruction of Multidimensional Objects from Tomography-Type Projection Data: 21 (Inverse and Ill-Posed Problems Series, 21)

Vorgestellte Ausgabe

ISBN 10:  3110364158 ISBN 13:  9783110364156
Verlag: De Gruyter, 2000
Hardcover