27 September 2011 Higher degree total variation (HDTV) algorithms for biomedical inverse problems
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We introduce novel generalized regularization functionals to overcome the practical problems associated with current total variation (TV) penalty. Specically, we extend the TV scheme to higher order derivatives to improve the representation of smoothly varying image regions. In addition, we introduce a rotation invariant anisotropic TV penalty to improve the regularity of the edge contours. The validation of the scheme demonstrates the signicantly improved performance of the proposed methods in the context of compressed sensing and denoising.
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Yue Hu, Mathews Jacob, "Higher degree total variation (HDTV) algorithms for biomedical inverse problems", Proc. SPIE 8138, Wavelets and Sparsity XIV, 81380E (27 September 2011); doi: 10.1117/12.893062; https://doi.org/10.1117/12.893062

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