Born expansion and Fréchet derivatives in nonlinear diffuse optical tomography
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Publication:710943
DOI10.1016/j.camwa.2009.07.088zbMath1197.35282OpenAlexW2026796804MaRDI QIDQ710943
Publication date: 23 October 2010
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2009.07.088
PDEs in connection with optics and electromagnetic theory (35Q60) Biomedical imaging and signal processing (92C55) Technical applications of optics and electromagnetic theory (78A55)
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Uniqueness and nonuniqueness in inverse problems for elliptic partial differential equations and related medical imaging ⋮ Uniqueness, Born approximation, and numerical methods for diffuse optical tomography ⋮ Differentiability of the objective in a class of coefficient inverse problems ⋮ The second-order Born approximation in diffuse optical tomography ⋮ Robust numerical algorithm to the European option with illiquid markets
Cites Work
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- A global uniqueness theorem for an inverse boundary value problem
- The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
- The analysis of linear partial differential operators. II: Differential operators with constant coefficients
- On the numerical solution of a hypersingular integral equation in scattering theory
- On the existence of certain singular integrals
- Fréchet Derivatives for Some Bilinear Inverse Problems
- On uniqueness in th invese transmission scattering problem
- Two-level domain decomposition methods for diffuse optical tomography
- The domain derivative and two applications in inverse scattering theory
- Applications of analysis on nilpotent groups to partial differential equations
- Nonstationary inverse problems and state estimation
- Optical tomography in medical imaging
- A Denseness Theorem with an Application to a Two-Dimensional Inverse Potential Refraction Problem
- Frechet differentiability of boundary integral operators in inverse acoustic scattering
- The determination of a discontinuity in a conductivity from a single boundary measurement
- An error bound for the Born approximation
- Identification of anisotropic anomalous region in inverse problems
- Frechet derivatives in inverse obstacle scattering
- Equivalent Norms for Sobolev Spaces
- Inverse medium scattering for the Helmholtz equation at fixed frequency
- Variational Principles for Scattering Processes. I
- The Validity of Born Expansions
- The Formal Theory of Scattering
- On the Convergence of Born Expansions
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