3 edition of **Integral geometry and tomography** found in the catalog.

Integral geometry and tomography

AMS Special Session on Tomography and Integral Geometry (2004 Rider University)

- 45 Want to read
- 7 Currently reading

Published
**2006** by American Mathematical Society in Providence, R.I .

Written in English

- Integral geometry -- Congresses,
- Tomography -- Congresses

**Edition Notes**

Includes bibliographical references

Statement | Andrew Markoe, Eric Todd Quinto, editors |

Genre | Congresses |

Series | Contemporary mathematics -- 405, Contemporary mathematics (American Mathematical Society) -- v. 405 |

Contributions | Markoe, Andrew, 1943-, Quinto, Eric Todd, 1951- |

Classifications | |
---|---|

LC Classifications | QA672 .A474 2004 |

The Physical Object | |

Pagination | xvi, 155 p. : |

Number of Pages | 155 |

ID Numbers | |

Open Library | OL15582576M |

ISBN 10 | 0821837559 |

LC Control Number | 2006040669 |

This book deals with a special subject in the wide ﬁeld of Geometric Anal-ysis. The subject has its origins in results by Funk [] and Radon [] determining, respectively, a symmetric function on the two-sphere S2 from its great circle integrals and an integrable function on R2 from its straight line integrals. This framework for integral geometry was generalized by Gelfand, Graev, and Shapiro [23] to pairs of manifolds without any group ac-tions. Most Radon transforms which commute with the action of a Lie group, and certainly all the transforms in the book .

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This volume consists of a collection of papers that brings together fundamental research in Radon transforms, integral geometry, and tomography. It grew out of the Special Session at a Sectional Meeting of the American Mathematical Society in The book.

This volume consists of a collection of papers that brings together fundamental research in Radon transforms, integral geometry, and tomography. It grew out of the Special Session at a Sectional Meeting of the American Mathematical Society in The book. Integral Geometry and Tomography. This book contains the proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Integral Geometry and Tomography, held in June.

These problems are of importance in medical applications (tomography), and they are quite useful for dealing with inverse problems in hyperbolic differential equations (integrals Author: Victor Isakov.

Cite this chapter as: Isakov V. () Integral Geometry and Tomography. In: Inverse Problems for Partial Differential Equations. Applied Mathematical Sciences, vol Author: Victor Isakov.

Integral geometry and tomography: proceedings of the AMS-IMS-SIAM joint summer research conference, held June/Eric Grinberg and Eric Todd Quinto, editors. cm.-(Contemporary mathematics; ) Includes bibliographical references. ISBN 1. Geometry, Integral-Congresses.

Tomography-Congresses. Description: This volume consists of a collection of papers that brings together fundamental research in Radon transforms, integral geometry, and tomography.

It grew out of the Special Session at a Sectional Meeting of the American Mathematical Society in The book. This volume is concerned with Radon integral geometry and tomography. All the papers deal, in one way or another, with the determination of properties of functions by integral theoretic or measure theoretic methods, or by determining the geometric.

Practitioners of integral geometry will find it a valuable reference with complete and clear proofs as well as specialized items of interest. This book is a well-written and beautiful introduction to integral geometry Brand: Springer-Verlag New York.

Stimulated by internal demands of mathematics, in recent years integral geometry has gain a powerful impetus from computer tomography. Now integral geometry serves as the mathematical background for tomography which in turn provides most of the problems for the former.

The book deals with integral geometry. Description This volume consists of a collection of papers that brings together fundamental research in Radon transforms, integral geometry, and tomography. It grew out of the Special Session at a Sectional Meeting of the American Mathematical Society in The book.

Integral Geometry, known in applied circles as Geometric Probability, is somewhat of a mathematical antique (and therefore it is a favorite of mine!) From it developed many modern topics: geometric measure theory, stereometry, tomography, characteristic classes 1 Integral geometry File Size: KB.

Description This book contains the proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Integral Geometry and Tomography, held in June at Humboldt State.

This volume consists of a collection of papers that brings together fundamental research in Radon transforms, Integral geometry, and tomography. It grew out of the Special Session at a Sectional Meeting of the American Mathematical Society in The book.

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. The goal of tomography is to recover the interior structure of a nontransparent body using external measurements.

In this appendix, we will present an outline of a few tomographic problems that. This strand of integral geometry goes back to the work of P. Funk [4] inwho showed that a continuous even function on the two-sphere can be recovered from its integrals over great circles, as well as that of J.

Radon inwho obtained an explicit formula recovering a compactly supported C 8 function on R3 from its plane integrals. This draft represents the current state of a book project by Plamen Stefanov and Gunther Uhlmann. The book is intended to be accessible to beginning graduate students.

We intend to demonstrate the power of microlocal methods in Integral Geometry. The title of this book, Geometric Tomography, is designed to cover the area of mathematics dealing with the retrieval of information about a geometric object from data about its sections.

Geometric Tomography, second edition from integral geometry. It also has connections to discrete tomography, geometric probing in robotics, and stereology.

The book also. It is a geometric relative of computerized tomography, which reconstructs an image from X-rays of a human patient.

The subject overlaps with convex geometry and employs many tools from. “The book under review is devoted to integral operators of geometric nature.

The monograph deals with the problem of representing a function on a manifold in terms of its integrals over Cited by: Integral Geometry, Radon Transforms and Complex Analysis, () On the inversion of the geodesic Radon transform on the hyperbolic plane.

Inverse ProblemsCited by: Isakov V. () Integral Geometry and Tomography. In: Inverse Problems for Partial Differential Equations. Applied Mathematical Sciences, vol Author: Victor Isakov.

The collection of articles presents current research on PDE's, several complex variables, analytic number theory, integral geometry and tomography.

The thinking of Professor Ehrenpreis. In the title's concept, mathematical tomography is the common term for the fields of Radon transform, modern integral geometry, geometric analysis, analytical tomography, and geometric tomography Author: Sigurdur Helgason.

Available in: this text, integral geometry deals with Radon’s problem of representing a function on a manifold in terms of its integrals Due to COVID, orders may Price: $ Practitioners of integral geometry will find it a valuable reference with complete and clear proofs as well as specialized items of interest.

This book is a well-written and beautiful introduction to integral geometry 5/5(1). The backbone of the theory of imaging is still integral geometry. We survey this field as far as is necessary for imaging purposes. Imaging techniques based on or related to integral geometry are briefly described in the section on tomography.

Contains the proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Integral Geometry and Tomography, held in June at Humboldt State University in Arcata. Contains a collection of papers that brings together fundamental research in Radon transforms, integral geometry, and tomography.

This book offers articles that deal with the determination. From the reviews: "Integral Geometry is a fascinating area, where numerous branches of mathematics meet together. the contents of the book is concentrated around the duality and double vibration, which is realized through the masterful treatment of a variety of examples.

the book. Buy Integral Geometry and Radon Transforms by Sigurdur Helgason (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible. The subject overlaps with convex geometry and employs many tools from that area, including some formulas from integral geometry. It also has connections to discrete tomography %().

Formulas in Inverse and Ill-Posed Problems. Series:Inverse and Ill-Posed Problems Series 6. See all formats and pricing Free shipping for non-business customers when ordering books at De Gruyter Online. Please find details to our shipping fees Formulas in integral geometry and tomography. more theoretical extensions to integral geometry, such as reconstruction from integrals over arbitrary manifolds, and to a variety of other fields in pure mathematics (see, e.g., Grinberg E and Quinto E T (ed) Integral Geometry and Tomography (Providence, RI: American Mathematical Society)).

Natterer's book. springer, In this text, integral geometry deals with Radon’s problem of representing a function on a manifold in terms of its integrals over certain submanifolds—hence the term the Radon transform. Examples and far-reaching generalizations lead to fundamental problems such as: (i) injectivity, (ii) inversion formulas, (iii) support questions, (iv) applications (e.g., to tomography.

We give a survey on the mathematics of computerized tomography. We start with a short introduction to integral geometry, concentrating on inversion formulas, stability, and ranges. Open Library is an open, editable library catalog, building towards a web page for every book ever published.

Integral Geometry and Valuations by Semyon Alesker, Joseph. Geometric tomography is the area of mathematics dealing with the retrieval of information about a geometric object from data about its sections by lines or planes, or orthogonal projections.

Geometric Tomography: Richard J. Gardner: Books - & Mail Best Sellers New York Times Best Sellers Best Books of the Month Children's Books Textbooks Kindle Books 5/5(1).From the reviews: Integral Geometry is a fascinating area, where numerous branches of mathematics meet together.

the contents of the book is concentrated around the duality and double vibration, which is realized through the masterful treatment of a variety of examples. the book .In mathematics, integral geometry is the theory of measures on a geometrical space invariant under the symmetry group of that space.

In more recent times, the meaning has been .