Novaga, Matteo; Onoue, Fumihiko Local Hölder regularity of minimizers for nonlocal variational problems. (English) Zbl 1523.35143 Commun. Contemp. Math. 25, No. 10, Article ID 2250058, 29 p. (2023). MSC: 35J20 49N60 35A15 94A08 PDFBibTeX XMLCite \textit{M. Novaga} and \textit{F. Onoue}, Commun. Contemp. Math. 25, No. 10, Article ID 2250058, 29 p. (2023; Zbl 1523.35143) Full Text: DOI arXiv
Caselles, V.; Chambolle, A.; Novaga, M. Total variation in imaging. 2nd edition. (English) Zbl 1331.68264 Scherzer, Otmar (ed.), Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer (ISBN 978-1-4939-0789-2/print; 978-1-4939-0790-8/ebook; 978-1-4939-0791-5/print+ebook; 978-3-642-27795-5/online (updated continuously)). Springer Reference, 1455-1499 (2015). MSC: 68U10 35J20 94A08 PDFBibTeX XMLCite \textit{V. Caselles} et al., in: Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer. 1455--1499 (2015; Zbl 1331.68264) Full Text: DOI
Caselles, V.; Jalalzai, K.; Novaga, M. On the jump set of solutions of the total variation flow. (English) Zbl 1284.49043 Rend. Semin. Mat. Univ. Padova 130, 155-168 (2013). MSC: 49N60 94A08 35K55 26B30 68U10 PDFBibTeX XMLCite \textit{V. Caselles} et al., Rend. Semin. Mat. Univ. Padova 130, 155--168 (2013; Zbl 1284.49043) Full Text: DOI
Caselles, V.; Chambolle, A.; Novaga, M. Total variation in imaging. (English) Zbl 1259.68217 Scherzer, Otmar (ed.), Handbook of mathematical methods in imaging. In 3 volumes. Berlin: Springer (ISBN 978-0-387-92919-4/hbk; 978-0-387-92920-0/ebook; 978-0-387-92921-7/print+ebook). Springer Reference, 1016-1057 (2011). MSC: 68U10 35J20 94A08 PDFBibTeX XMLCite \textit{V. Caselles} et al., in: Handbook of mathematical methods in imaging. In 3 volumes. Berlin: Springer. 1016--1057 (2011; Zbl 1259.68217) Full Text: DOI
Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo Regularity for solutions of the total variation denoising problem. (English) Zbl 1228.94005 Rev. Mat. Iberoam. 27, No. 1, 233-252 (2011). Reviewer: Hans Brodersen (Oslo) MSC: 94A08 35J20 35J70 49N60 PDFBibTeX XMLCite \textit{V. Caselles} et al., Rev. Mat. Iberoam. 27, No. 1, 233--252 (2011; Zbl 1228.94005) Full Text: DOI Euclid
Chambolle, Antonin; Caselles, Vicent; Cremers, Daniel; Novaga, Matteo; Pock, Thomas An introduction to total variation for image analysis. (English) Zbl 1209.94004 Fornasier, Massimo (ed.), Theoretical foundations and numerical methods for sparse recovery. Papers based on the presentations of the summer school “Theoretical foundations and numerical methods for sparse recovery”, Vienna, Austria, August 31 – September 4, 2009. Berlin: Walter de Gruyter (ISBN 978-3-11-022614-0/hbk; 978-3-11-022615-7/ebook). Radon Series on Computational and Applied Mathematics 9, 263-340 (2010). MSC: 94A08 26B30 26B15 49-01 49M25 49M29 65-01 65K15 PDFBibTeX XMLCite \textit{A. Chambolle} et al., Radon Ser. Comput. Appl. Math. 9, 263--340 (2010; Zbl 1209.94004)
Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo The discontinuity set of solutions of the TV denoising problem and some extensions. (English) Zbl 1145.49024 Multiscale Model. Simul. 6, No. 3, 879-894 (2007). MSC: 49N90 49N60 68U10 94A08 PDFBibTeX XMLCite \textit{V. Caselles} et al., Multiscale Model. Simul. 6, No. 3, 879--894 (2007; Zbl 1145.49024) Full Text: DOI Link