Artifacts of reconstructed images in inverse problems of ultrasound tomography in models with absorption

DOI10.1134/s1995080224603886MaRDI QIDQ6649050

Sergey Y. Romanov, Sergey Y. Seryozhnikov, A. V. Goncharskij

Publication date: 5 December 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

coefficient inverse problemultrasound tomographygradient-based methodwave equation with absorptionresidual functional minimization

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Biomedical imaging and signal processing (92C55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Inverse problems for PDEs (35R30) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Cell biology (92C37) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical algorithms for specific classes of architectures (65Y10)

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