Tomography, Impedance Imaging and Integral Geometry

Summer Seminar in Applied Mathematics

AvAmerican Mathematical Society

Häftad, Engelska, 1994

Del i serien Lectures in Applied Mathematics

938 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Beskrivning

One of the most exciting features of tomography is the strong relationship between high-level pure mathematics (such as harmonic analysis, partial differential equations, microlocal analysis, and group theory) and applications to medical imaging, impedance imaging, radiotherapy, and industrial nondestructive evaluation. This book contains the refereed proceedings of the AMS-SIAM Summer Seminar on Tomography, Impedance Imaging, and Integral Geometry, held at Mount Holyoke College in June 1993. A number of common themes are found among the papers.Group theory is fundamental both to tomographic sampling theorems and to pure Radon transforms. Microlocal and Fourier analysis are important for research in all three fields. Differential equations and integral geometric techniques are useful in impedance imaging. In short, a common body of mathematics can be used to solve dramatically different problems in pure and applied mathematics. Radon transforms can be used to model impedance imaging problems. These proceedings include exciting results in all three fields represented at the conference.

Produktinformation

Utgivningsdatum:1994-09-30
Vikt:510 g
Format:Häftad
Språk:Engelska
Serie:Lectures in Applied Mathematics
Antal sidor:287
Förlag:American Mathematical Society
ISBN:9780821803370

Utforska kategorier

Topologi inom Naturvetenskap och teknik
Tillämpad matematik inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik

Innehållsförteckning

An inversion formula for the horocyclic Radon transform on the real hyperbolic space by C. A. Berenstein and E. C. Tarabusi Image reconstruction and dense subspaces in the range of the Radon transform by W. K. Cheung and A. Markoe.On a spatial limited angle model for X-ray computerized tomography by A. Correa, R. Cruz, and P. M. Salzberg The backpropagation method in inverse acoustics by G. F. Crosta Some nonlinear aspects of the Radon transform by L. Ehrenpreis Spherical tomography and spherical integral geometry by S. Gindikin, J. Reeds, and L. Shepp That kappa operator: Gelfand-Graev-Shapiro inversion and Radon transforms on isotropic planes by E. L. Grinberg On uniqueness in the inverse conductivity problem with one boundary measurement by V. Isakov A method for finding discontinuities of functions from the tomographic data by A. I. Katsevich and A. G. Ramm Probability measure estimation using "weak" loss functions in positron emission tomography by A. Kuruc On stability estimates in the exterior problem for the Radon transform by S. Lissianoi Data correction and restoration in emission tomography by S. J. Lvin On problems of integral geometry in the non-convex domains by R. Mukhometov Recent developments in X-ray tomography by F. Natterer Some mathematical aspects of 3D X-ray tomography by V. P. Palamodov A note on consistency conditions in three dimensional diffuse tomography by S. K. Patch Radon transforms on curves in the plane by E. T. Quinto Inverse boundary value problems for first order perturbations of the Laplacian by G. Uhlmann Multidimensional analogue of the Erdelyi lemma and the Radon transform by A. I. Zaslavsky On the Willmore deficit of convex surfaces by J. Zhou.

Mer från samma författare

Equivariant Homotopy and Cohomology Theory

American Mathematical Society

Häftad, 1996

758 kr

Introduction to Morse Theory

American Mathematical Society

Häftad, 2001

633 kr

Algebraic Geometry 1, Volume 1

American Mathematical Society

Häftad, 1999

633 kr

Geometry of Conics

American Mathematical Society

Häftad, 2007

591 kr

A. Adrian Albert Collected Mathematical Papers, Volume 3, Parts 1 & 2

American Mathematical Society

Inbunden, 1993

3 553 kr

Collected Works of Witold Hurewicz

American Mathematical Society

Inbunden, 1995

3 056 kr

John Von Neumann, 1903-1957

American Mathematical Society

Häftad, 1966

753 kr

Modern Statistics

American Mathematical Society

Häftad, 1980

1 495 kr

Game Theory and Its Applications

American Mathematical Society

Häftad, 1981

1 495 kr

Operations Research Mathematics and Models

American Mathematical Society

Häftad, 1981

1 495 kr

Mer från samma serie

Partial Differential Equations

American Mathematical Society

Häftad, 1964

786 kr

Dynamical Systems and Probabilistic Methods in Partial Differential Equations

American Mathematical Society

Häftad, 1995

536 kr

Mathematics of Numerical Analysis

James Renegar, Michael. Shub, Steve Smale

Häftad, 1996

2 135 kr

Mathematical Problems of Relativistic Physics

American Mathematical Society

Häftad, 1963

396 kr

Relativity Theory and Astrophysics Galactic Structure

J. Ehlers

Inbunden, 1967

633 kr

Mathematics of the Decision Sciences, Part 2

George B. Dantzig, A.F. Veinott

Inbunden, 1968

1 008 kr

Modern Modeling of Continuum Phenomena

American Mathematical Society

Häftad, 1977

1 217 kr

Nonlinear Systems of Partial Differential Equations in Applied Mathematics, Parts 1 & 2

American Mathematical Society

Inbunden, 1986

1 843 kr

Reacting Flows, Parts 1 & 2

American Mathematical Society

Inbunden, 1986

1 940 kr

Nonlinear Systems of Partial Differential Equations in Applied Mathematics, Part 1

American Mathematical Society

Inbunden, 1986

1 050 kr

Du kanske också är intresserad av

Large-scale Computations in Fluid Mechanics, Part 2

American Mathematical Society

Inbunden, 1985

1 551 kr

Relativity Theory and Astrophysics Galactic Structure

J. Ehlers

Inbunden, 1967

633 kr

Ruth Kvarnström-Jones - SIGNERAD - Systrarna på Sophiahemmet, Inbunden

Signerad!

Del 3

SIGNERAD - Systrarna på Sophiahemmet

Ruth Kvarnström-Jones

Inbunden, 2026

249 kr

Modern Modeling of Continuum Phenomena

American Mathematical Society

Häftad, 1977

1 217 kr

Reacting Flows, Part 2

American Mathematical Society

Inbunden, 1986

1 106 kr

Mathematics of Numerical Analysis

James Renegar, Michael. Shub, Steve Smale

Häftad, 1996

2 135 kr

Signerad!

SIGNERAD - Om julens wälgång

Klara Peters Bastin

Inbunden, 2026

249 kr

Perturbation of Spectra in Hilbert Space

American Mathematical Society

Häftad, 2008

633 kr

Computational Aspects of VLSI Design with an Emphasis on Semiconductor Device Simulation

American Mathematical Society

Inbunden, 1990

995 kr

Mathematical Problems of Relativistic Physics

American Mathematical Society

Häftad, 1963

396 kr

Tomography, Impedance Imaging and Integral Geometry

Summer Seminar in Applied Mathematics

AvAmerican Mathematical Society

Häftad, Engelska, 1994

Del i serien Lectures in Applied Mathematics

938 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Beskrivning

Produktinformation

Utgivningsdatum:1994-09-30
Vikt:510 g
Format:Häftad
Språk:Engelska
Serie:Lectures in Applied Mathematics
Antal sidor:287
Förlag:American Mathematical Society
ISBN:9780821803370

Utforska kategorier

Topologi inom Naturvetenskap och teknik
Tillämpad matematik inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik

Innehållsförteckning

An inversion formula for the horocyclic Radon transform on the real hyperbolic space by C. A. Berenstein and E. C. Tarabusi Image reconstruction and dense subspaces in the range of the Radon transform by W. K. Cheung and A. Markoe.On a spatial limited angle model for X-ray computerized tomography by A. Correa, R. Cruz, and P. M. Salzberg The backpropagation method in inverse acoustics by G. F. Crosta Some nonlinear aspects of the Radon transform by L. Ehrenpreis Spherical tomography and spherical integral geometry by S. Gindikin, J. Reeds, and L. Shepp That kappa operator: Gelfand-Graev-Shapiro inversion and Radon transforms on isotropic planes by E. L. Grinberg On uniqueness in the inverse conductivity problem with one boundary measurement by V. Isakov A method for finding discontinuities of functions from the tomographic data by A. I. Katsevich and A. G. Ramm Probability measure estimation using "weak" loss functions in positron emission tomography by A. Kuruc On stability estimates in the exterior problem for the Radon transform by S. Lissianoi Data correction and restoration in emission tomography by S. J. Lvin On problems of integral geometry in the non-convex domains by R. Mukhometov Recent developments in X-ray tomography by F. Natterer Some mathematical aspects of 3D X-ray tomography by V. P. Palamodov A note on consistency conditions in three dimensional diffuse tomography by S. K. Patch Radon transforms on curves in the plane by E. T. Quinto Inverse boundary value problems for first order perturbations of the Laplacian by G. Uhlmann Multidimensional analogue of the Erdelyi lemma and the Radon transform by A. I. Zaslavsky On the Willmore deficit of convex surfaces by J. Zhou.