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Convexity properties of inverse problems with variational constraints

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Publication:809225
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DOI10.1016/0016-0032(91)90001-JzbMath0732.31006OpenAlexW2032689036MaRDI QIDQ809225

James G. Berryman

Publication date: 1991

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(91)90001-j

zbMATH Keywords

potential theoryinverse problemsconvex programmingtomography


Mathematics Subject Classification ID

Convex programming (90C25) Biomedical imaging and signal processing (92C55) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)


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Cites Work

  • Unnamed Item
  • Fermat’s principle and nonlinear traveltime tomography
  • Stable iterative reconstruction algorithm for nonlinear traveltime tomography
  • Practical and mathematical aspects of the problem of reconstructing objects from radiographs
  • Determining conductivity by boundary measurements
  • Determining conductivity by boundary measurements II. Interior results
  • A study of fourier space methods for “limited angle” image reconstruction*
  • Ghosts in tomography – the null space of the radon transform
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