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Tomography and Inverse Transport Theory
 
Edited by: Guillaume Bal Columbia University, New York, NY
David Finch Oregon State University, Corvallis, OR
Peter Kuchment Texas A&M University, College Station, TX
John Schotland University of Michigan, Ann Arbor, MI
Plamen Stefanov Purdue University, West Lafayette, IN
Gunther Uhlmann University of Washington, Seattle, WA and University of California, Irvine, Irvine, CA
Front Cover for Tomography and Inverse Transport Theory
Available Formats:
Softcover ISBN: 978-0-8218-5301-6
Product Code: CONM/559
List Price: $78.00
MAA Member Price: $70.20
AMS Member Price: $62.40
Electronic ISBN: 978-0-8218-8238-2
Product Code: CONM/559.E
List Price: $73.00
MAA Member Price: $65.70
AMS Member Price: $58.40
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $117.00
MAA Member Price: $105.30
AMS Member Price: $93.60
Front Cover for Tomography and Inverse Transport Theory
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  • Front Cover for Tomography and Inverse Transport Theory
  • Back Cover for Tomography and Inverse Transport Theory
Tomography and Inverse Transport Theory
Edited by: Guillaume Bal Columbia University, New York, NY
David Finch Oregon State University, Corvallis, OR
Peter Kuchment Texas A&M University, College Station, TX
John Schotland University of Michigan, Ann Arbor, MI
Plamen Stefanov Purdue University, West Lafayette, IN
Gunther Uhlmann University of Washington, Seattle, WA and University of California, Irvine, Irvine, CA
Available Formats:
Softcover ISBN:  978-0-8218-5301-6
Product Code:  CONM/559
List Price: $78.00
MAA Member Price: $70.20
AMS Member Price: $62.40
Electronic ISBN:  978-0-8218-8238-2
Product Code:  CONM/559.E
List Price: $73.00
MAA Member Price: $65.70
AMS Member Price: $58.40
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $117.00
MAA Member Price: $105.30
AMS Member Price: $93.60
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5592011; 180 pp
    MSC: Primary 35; 45; 65; 74; 78;

    This volume contains research and review articles written by participants of two related international workshops “Mathematical Methods in Emerging Modalities of Medical Imaging” (October 2009) and “Inverse Transport Theory and Tomography” (May 2010), which were held at the Banff International Research Station in Banff, Canada. These workshops brought together mathematicians, physicists, engineers, and medical researchers working at the cutting edge of medical imaging research and addressed the demanding mathematical problems arising in this area.

    The articles, written by leading experts, address important analytic, numerical, and physical issues of the newly developing imaging modalities (e.g., photoacoustics, current impedance imaging, hybrid imaging techniques, elasticity imaging), as well as the recent progress in resolving outstanding problems of more traditional modalities, such as SPECT, ultrasound imaging, and inverse transport theory. Related topics of invisibility cloaking are also addressed.

    Readership

    Graduate students and research mathematicians interested in inverse problems, imaging, tomography, and radiation transport.

  • Table of Contents
     
     
    • Articles
    • Ben Cox, Tanja Tarvainen and Simon Arridge - Multiple illumination quantitative photoacoustic tomography using transport and diffusion models
    • Guillaume Bal and Alexandre Jollivet - Combined source and attenuation reconstructions in SPECT
    • Guillaume Bal and Kui Ren - Non-uniqueness result for a hybrid inverse problem
    • Jan Boman - Local non-injectivity for weighted radon transforms
    • Alexander L. Bukhgeim - Inverse gravimetry approach to attenuated tomography
    • Hongyu Liu and Ting Zhou - Transformation optics and approximate cloaking
    • Stephen McDowall, Plamen Stefanov and Alexandru Tamasan - Stability of the Gauge equivalent classes in inverse stationary transport in refractive media
    • Joyce McLaughlin, Ashley Thomas and Jeong-Rock Yoon - Basic theory for generalized linear solid viscoelastic models
    • Adrian Nachman, Alexandru Tamasan and Alexander Timonov - Current density impedance imaging
    • Frank Natterer - Possibilities and limitations of time domain wave equation imaging
    • Linh V. Nguyen - On singularities and instability of reconstruction in thermoacoustic tomography
    • Diane R. Eaker, Steven M. Jorgensen, Congwu Cui and Erik L. Ritman - Micro-tomography of coherent x-ray scatter using an x-ray collinator and spectral imaging array
  • Additional Material
     
     
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Volume: 5592011; 180 pp
MSC: Primary 35; 45; 65; 74; 78;

This volume contains research and review articles written by participants of two related international workshops “Mathematical Methods in Emerging Modalities of Medical Imaging” (October 2009) and “Inverse Transport Theory and Tomography” (May 2010), which were held at the Banff International Research Station in Banff, Canada. These workshops brought together mathematicians, physicists, engineers, and medical researchers working at the cutting edge of medical imaging research and addressed the demanding mathematical problems arising in this area.

The articles, written by leading experts, address important analytic, numerical, and physical issues of the newly developing imaging modalities (e.g., photoacoustics, current impedance imaging, hybrid imaging techniques, elasticity imaging), as well as the recent progress in resolving outstanding problems of more traditional modalities, such as SPECT, ultrasound imaging, and inverse transport theory. Related topics of invisibility cloaking are also addressed.

Readership

Graduate students and research mathematicians interested in inverse problems, imaging, tomography, and radiation transport.

  • Articles
  • Ben Cox, Tanja Tarvainen and Simon Arridge - Multiple illumination quantitative photoacoustic tomography using transport and diffusion models
  • Guillaume Bal and Alexandre Jollivet - Combined source and attenuation reconstructions in SPECT
  • Guillaume Bal and Kui Ren - Non-uniqueness result for a hybrid inverse problem
  • Jan Boman - Local non-injectivity for weighted radon transforms
  • Alexander L. Bukhgeim - Inverse gravimetry approach to attenuated tomography
  • Hongyu Liu and Ting Zhou - Transformation optics and approximate cloaking
  • Stephen McDowall, Plamen Stefanov and Alexandru Tamasan - Stability of the Gauge equivalent classes in inverse stationary transport in refractive media
  • Joyce McLaughlin, Ashley Thomas and Jeong-Rock Yoon - Basic theory for generalized linear solid viscoelastic models
  • Adrian Nachman, Alexandru Tamasan and Alexander Timonov - Current density impedance imaging
  • Frank Natterer - Possibilities and limitations of time domain wave equation imaging
  • Linh V. Nguyen - On singularities and instability of reconstruction in thermoacoustic tomography
  • Diane R. Eaker, Steven M. Jorgensen, Congwu Cui and Erik L. Ritman - Micro-tomography of coherent x-ray scatter using an x-ray collinator and spectral imaging array
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