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math.OC2026
Initial condition recovery in nonlinear damped viscous photoacoustic tomography using a convolutional neural network-guided gradient-free optimization framework
Madhu Gupta, Anwesa Dey, Prapti Tala +1
Photoacoustic tomography (PAT) is a hybrid imaging modality that combines high optical contrast with high ultrasonic resolution for biomedical imaging applications. In this work, w…
math.OC2020
A sparsity-based nonlinear reconstruction method for two-photon photoacoustic tomography
Madhu Gupta, Rohit Kumar Mishra, Souvik Roy
We present a new nonlinear optimization approach for the sparse reconstruction of single-photon absorption and two-photon absorption coefficients in photoacoustic tomography (PAT).…
math.OC2019
Sparse reconstruction of log-conductivity in current density impedance tomography
Madhu Gupta, Rohit Kumar Mishra, Souvik Roy
A new non-linear optimization approach is proposed for the sparse reconstruction of log-conductivities in current density impedance imaging. This framework comprises of minimizing…