5 papers
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…
An Efficient Bayesian Framework for Uncertainty Quantification in Nonlinear Imaging Inverse Problems
Anuj Abhishek, Sakshi Arya, Madhu Gupta
Bayesian methods provide a natural framework for estimating a parameter in non-linear inverse problems and quantifying uncertainty in the estimation. However, when the forward mode…
V-Line Tensor Tomography in a Disk: Theoretical and Numerical Reconstruction
Rahul Bhardwaj, Madhu Gupta
In this article, we investigate V-line transforms for symmetric -tensor fields whose support lies inside a disk of radius and centered at the origin. We provide an explicit…
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).…
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…