A Penalization-Regularization-Operator Splitting Method for Eikonal Based Traveltime Tomography

DOI10.1137/140992072zbMath1325.65092OpenAlexW599684198MaRDI QIDQ3192652

Jianliang Qian, Shingyu Leung, Roland Glowinski

Publication date: 13 October 2015

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/66fc868ce167efd107b85920ab14795dd3a06a1d

zbMATH Keywords

regularizationpenalizationnumerical experimentsmedical imagingoperator splittingEuler-Lagrange equationseismic imagingeikonal equationsfast sweeping methodslinear second-order elliptic problemstraveltime tomography

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Biomedical imaging and signal processing (92C55) Seismology (including tsunami modeling), earthquakes (86A15) Existence theories for optimal control problems involving partial differential equations (49J20) Hamilton-Jacobi equations (35F21)

Related Items (9)

Computing the finite time Lyapunov exponent for flows with uncertainties ⋮ An Operator-Splitting Method for the Gaussian Curvature Regularization Model with Applications to Surface Smoothing and Imaging ⋮ Fast operator splitting methods for obstacle problems ⋮ Connections between Operator-Splitting Methods and Deep Neural Networks with Applications in Image Segmentation ⋮ Elastica Models for Color Image Regularization ⋮ Numerical Approximation of Orthogonal Maps ⋮ A Hybrid Adaptive Phase Space Method for Reflection Traveltime Tomography ⋮ An anisotropic adaptive method for the numerical approximation of orthogonal maps ⋮ A Level-Set Adjoint-State Method for Transmission Traveltime Tomography in Irregular Domains

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