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A Tikhonov Regularization Method for Image Reconstruction

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Acoustical Imaging

Part of the book series: Acoustical Imaging ((ACIM,volume 20))

Abstract

Many problems of image reconstruction from projection data have the following mathematical form

$$ Am = d $$
((1))

where m is the unknown model, d is the observed data and A is a known operator. If A is independent of the model m, the tomographic problem is linear; otherwise it is nonlinear. In this paper, we restrict ourselves to the linear case.

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© 1993 Springer Science+Business Media New York

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Peng, C., Rodi, W.L., Toksöz, M.N. (1993). A Tikhonov Regularization Method for Image Reconstruction. In: Wei, Y., Gu, B. (eds) Acoustical Imaging. Acoustical Imaging, vol 20. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2958-3_21

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  • DOI: https://doi.org/10.1007/978-1-4615-2958-3_21

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6286-9

  • Online ISBN: 978-1-4615-2958-3

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