Higher degree total variation (HDTV) algorithms for biomedical inverse problems

We introduce novel generalized regularization functionals to overcome the practical problems associated with current total variation (TV) penalty. Specifically, we extend the TV scheme to higher order derivatives to improve there presentation of smoothly varying image regions. In addition, we introduce a rotation in variant an isotropic TV penalty to improve the regularity of the edge contours. The validation of the scheme demonstrates the significantly improved performance of the proposed methods in the context of compressed sensing and denoising.