Local tomography with nonsmooth attenuation

    Authors

    A. I. Katsevich

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    Abbreviated Journal Title

    Trans. Am. Math. Soc.

    Keywords

    GENERALIZED RADON-TRANSFORM; PSEUDODIFFERENTIAL-OPERATORS; INVERSION; Mathematics

    Abstract

    Local tomography for the Radon transform with nonsmooth attenuation is proposed and justified. The main theoretical tool is analysis of singularities of pseudodifferential operators with nonsmooth symbols. Results of numerical testing of local tomography are presented.

    Journal Title

    Transactions of the American Mathematical Society

    Volume

    351

    Issue/Number

    5

    Publication Date

    1-1-1999

    Document Type

    Article

    Language

    English

    First Page

    1947

    Last Page

    1974

    WOS Identifier

    WOS:000079749300010

    ISSN

    0002-9947

    Share

    COinS