An Anisotropic Inf-Convolution BV Type Model for Dynamic Reconstruction

We are interested in a spatial-temporal variational model for image sequences. The model involves a fitting data term adapted to different modalities, such as denoising, deblurring, or emission tomography. The regularizing term acts as an infimal-convolution type operator that takes into account the respective influence of space and time variables in a separate mode. We give existence and uniqueness results and provide optimality conditions via duality analysis.