Mathematical Problems of Tomography
Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Functional analysis and transforms > Mathematical Problems of Tomography: (No.81 Translations of Mathematical Monographs Reprint)
1%
Mathematical Problems of Tomography: (No.81 Translations of Mathematical Monographs Reprint)

Mathematical Problems of Tomography: (No.81 Translations of Mathematical Monographs Reprint)

|
     0     
5
4
3
2
1




Out of Stock


Notify me when this book is in stock
About the Book

As early as 1917, Radon derived an explicit formula for the reconstruction of a function on the plane, given its integrals over all lines. In the late 1960s, the first applications of the Radon formula appeared, in radio astronomy and then in electron micrography. The use of the Radon formula for constructing tomograms, made possible by the advent of the computer, saw its first use in clinical medicine in 1970 and earned its developers the Nobel Prize in medicine. Today, practical application of the Radon transform, especially in medical tomography, has continued to capture the attention of mathematicians, partly because of the range of new applications that have been found. But the most fascinating aspect for mathematicians may be the opportunity to apply deep mathematics to tackle new problems arising from real-world applications. The papers in this volume cover various problems arising from and related to computerized tomography. The main idea unifying the papers is that the methods used satisfy strong requirements imposed by practical applications of computerized tomography, such as reconstruction of non-smooth functions, pointwise convergence, and discretization in computational algorithms. The papers draw upon a broad range of mathematical areas, including integral geometry, the theory of several complex variables, the theory of distributions, and integral transformations. In addition, applications to reconstruction of biological objects and mathematical economics are given.

Table of Contents:
Introduction - integral geometry and tomography, I.M.Gelfand and S.G. Gindikin; on convergence of a class of algorithms for the inversion of the numerical radon transform, D.A.Popov; three-dimensional reconstruction of arbitrarily arranged identical particles given their projections, A.B.Goncharov; spatial rotational alignment of identical particles given their projections theory and practice, M.S.Gelfand and A.B.Goncharov; some singular problems in tomography, V.P.Palamodov; discrete Radon transform and image reconstruction, N.D.Vvedenskaya and S.G.Gindikin; Bernstein theorems and the Radon transform - application to the theory of production functions, G.M.Henklin and A.A.Shananin; mathematical models and algorithms of tomographic synthesis of wave fields and inhomogenous media, V.M.Buchstaber and V.K.Maslov.


Best Sellers


Product Details
  • ISBN-13: 9780821845349
  • Publisher: American Mathematical Society
  • Publisher Imprint: American Mathematical Society
  • Height: 230 mm
  • Series Title: No.81 Translations of Mathematical Monographs Reprint
  • ISBN-10: 0821845349
  • Publisher Date: 01 Jan 1990
  • Binding: Hardback
  • Language: Russian
  • Weight: 531 gr


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Mathematical Problems of Tomography: (No.81 Translations of Mathematical Monographs Reprint)
American Mathematical Society -
Mathematical Problems of Tomography: (No.81 Translations of Mathematical Monographs Reprint)
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Mathematical Problems of Tomography: (No.81 Translations of Mathematical Monographs Reprint)

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals

    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!