Abstract
We introduce variants of the variational image denoising method proposed by Blomgren et al. (In: Numerical Analysis 1999 (Dundee), pp. 43–67. Chapman & Hall, Boca Raton, FL, 2000), which interpolates between total-variation denoising and isotropic diffusion denoising. We study how parameter choices affect results and allow tuning between TV denoising and isotropic diffusion for respecting texture on one spatial scale while denoising features assumed to be noise on finer spatial scales. Furthermore, we prove existence and (where appropriate) uniqueness of minimizers. We consider both L 2 and L 1 data fidelity terms.
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Communicated by Lixin Shen and Yuesheng Xu.
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Bollt, E.M., Chartrand, R., Esedoḡlu, S. et al. Graduated adaptive image denoising: local compromise between total variation and isotropic diffusion. Adv Comput Math 31, 61–85 (2009). https://doi.org/10.1007/s10444-008-9082-7
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DOI: https://doi.org/10.1007/s10444-008-9082-7