Total Variation Regularization of Matrix-Valued Images

Abstract

We generalize the total variation restoration model, introduced by Rudin, Osher, and Fatemi in 1992, to matrix-valued data, in particular, to diffusion tensor images (DTIs). Our model is a natural extension of the color total variation model proposed by Blomgren and Chan in 1998. We treat the diffusion matrix D implicitly as the product D = LL(T), and work… (More)
DOI: 10.1155/2007/27432

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Cite this paper

@article{Christiansen2007TotalVR, title={Total Variation Regularization of Matrix-Valued Images}, author={Oddvar Christiansen and Tin-Man Lee and Johan Lie and Usha S. Sinha and Tony F. Chan}, journal={International Journal of Biomedical Imaging}, year={2007}, volume={2007}, pages={629 - 639} }