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An Introduction to Microwave Imaging for Breast Cancer Detection pp 17–45Cite as

Microwave Tomography

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Part of the book series: Biological and Medical Physics, Biomedical Engineering ((BIOMEDICAL))

Abstract

This chapter details microwave tomography for breast cancer detection. It includes a description of the scattering mechanism and introduces the object function and the forward problem, which defines the non-linear inverse tomographic problem. This is followed by a brief overview of the linear approximations which historically have been applied for solving the inverse problem. The major part of this chapter is devoted to introducing the algorithms which have been proposed for solving the non-linear tomographic problem. This includes local gradient-based methods and global evolutionary methods as well as a description of the use of multi-frequency data and a priori knowledge.

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Notes

  1. 1.

    In [51], the authors deal with 2-D tomography. The expression presented here has been re-written to fit a 3-D algorithm.

  2. 2.

    In [52], the authors deal with 2-D tomography. The expression presented here has been re-written to fit a 3-D algorithm.

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Authors and Affiliations

  1. formerly at the Department of Electrical Engineering, Technical University of Denmark, Kongens Lyngby, Denmark

    Tonny Rubæk & Johan Jacob Mohr

  2. OHB Systems, Bremen, Germany

    Tonny Rubæk

  3. Mellanox Technologies, Roskilde, Denmark

    Johan Jacob Mohr

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  1. Tonny Rubæk
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Correspondence to Johan Jacob Mohr .

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  1. Universidade de Lisboa , Lisboa, Portugal

    Raquel Cruz Conceição

  2. København NV, Denmark

    Johan Jacob Mohr

  3. Electrical and Electronic Engineering, National University of Ireland Galway, Galway, Ireland

    Martin O'Halloran

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Rubæk, T., Mohr, J.J. (2016). Microwave Tomography. In: Conceição, R., Mohr, J., O'Halloran, M. (eds) An Introduction to Microwave Imaging for Breast Cancer Detection. Biological and Medical Physics, Biomedical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-27866-7_3

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