{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:32:56Z","timestamp":1772296376099,"version":"3.50.1"},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2006,1,1]],"date-time":"2006-01-01T00:00:00Z","timestamp":1136073600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int J Comput Vision"],"published-print":{"date-parts":[[2006,1]]},"DOI":"10.1007\/s11263-005-3219-7","type":"journal-article","created":{"date-parts":[[2005,12,22]],"date-time":"2005-12-22T12:26:23Z","timestamp":1135254383000},"page":"5-18","source":"Crossref","is-referenced-by-count":239,"title":["Iterative Image Restoration Combining Total Variation Minimization and a Second-Order Functional"],"prefix":"10.1007","volume":"66","author":[{"given":"Marius","family":"Lysaker","sequence":"first","affiliation":[]},{"given":"Xue-Cheng","family":"Tai","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"3219_CR1","unstructured":"Bertozzi, A.L. and Greer, J.B. 2003. Low curvature image simplifiers: Global regularity of smooth solutions and laplacian limiting schemes. Tech. rep. (03\u201326), UCLA, Applied mathematics."},{"key":"3219_CR2","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1007\/s002110050258","volume":"76","author":"A. Chambolle","year":"1997","unstructured":"Chambolle, A. and Lions, P-L. 1997. Image recovery via total variation minimization and related problems. Numerische Matematik, 76:167\u2013188.","journal-title":"Numerische Matematik"},{"key":"3219_CR3","doi-asserted-by":"crossref","first-page":"503","DOI":"10.1137\/S1064827598344169","volume":"22","author":"T. Chan","year":"2000","unstructured":"Chan, T., Marquina, A., and Mulet, P. 2000. High-order total variation-based image restoration. SIAM Journal on Scientific Computation, 22:503\u2013516.","journal-title":"SIAM Journal on Scientific Computation"},{"key":"3219_CR4","volume-title":"Minimal Surface and Functions of Bounded Variations","author":"E. Giusti","year":"1998","unstructured":"Giusti, E. 1998. Minimal Surface and Functions of Bounded Variations. Boston, Birkh\u00e4user."},{"issue":"10","key":"3219_CR5","first-page":"349","volume":"1\u20132","author":"J. B. Greer","year":"2004","unstructured":"Greer, J.B. and Bertozzi, A.L. 2004. H1 solutions of a class of fourth order nonlinear equations for image processing. Discrete and continuous dynamical systems 2004, special issue in honor of Mark Vishik, Editors: V. Chepyzhov, M. Efendiev, Alain Miranville and Roger Temam, 1\u20132(10): 349\u2013366.","journal-title":"Discrete and continuous dynamical systems 2004, special issue in honor of Mark Vishik, Editors: Chepyzhov, V., Efendiev, M., Alain Miranville and Roger Temam"},{"key":"3219_CR6","unstructured":"Greer, J.B. and Bertozzi, A.L. 2003. Traveling wave solutions of fourth order pdes for image processing. Tech. rep. (03\u201325), UCLA, Applied mathematics."},{"key":"3219_CR7","unstructured":"Hinterberger, W. and Scherzer, O. 2004. Variational methods on the space of functions of bounded Hessian for convexification and denoising Preprint."},{"key":"3219_CR8","doi-asserted-by":"crossref","first-page":"909","DOI":"10.1088\/0266-5611\/16\/4\/303","volume":"16","author":"K. Ito","year":"2000","unstructured":"Ito, K. and Kunisch, K. 2000. BV-type regularization methods for convoluted objects with edge, flat and grey scales. Inverse Problems, 16:909\u2013928.","journal-title":"Inverse Problems"},{"key":"3219_CR9","first-page":"162","volume-title":"SAC-methods for Image Restoration","author":"T. Karkkainen","year":"2000","unstructured":"Karkkainen, T. and Majava, K. 2000. SAC-methods for image restoration. In World Scientific and Engineering Society, Greece, pp. 162\u2013167."},{"issue":"12","key":"3219_CR10","doi-asserted-by":"crossref","first-page":"1579","DOI":"10.1109\/TIP.2003.819229","volume":"12","author":"M. Lysaker","year":"2003","unstructured":"Lysaker, M., Lundervold, A., and Tai, X.-C. 2003. Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time. IEEE Trans. Image Processing, 12(12):1579\u20131590.","journal-title":"IEEE Trans. Image Processing"},{"issue":"10","key":"3219_CR11","doi-asserted-by":"crossref","first-page":"1345","DOI":"10.1109\/TIP.2004.834662","volume":"13","author":"M. Lysaker","year":"2004","unstructured":"Lysaker, M., Osher, S., and Tai, X.-C. 2004. Noise removal using smoothed normals and surface fitting. IEEE Trans. Image Processing, 13:(10)1345\u20131357.","journal-title":"IEEE Trans. Image Processing"},{"issue":"4","key":"3219_CR12","doi-asserted-by":"crossref","first-page":"394","DOI":"10.1016\/0146-664X(79)90102-3","volume":"9","author":"M. Nagao","year":"1979","unstructured":"Nagao, M. and Matsuyama, T. 1979. Edge preserving smoothing, computer graphics and image processing. Computer Graphics and Image Processing, 9(4):394\u2013407.","journal-title":"Computer Graphics and Image Processing"},{"issue":"3","key":"3219_CR13","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1137\/S1540345902416247","volume":"1","author":"S. Osher","year":"2003","unstructured":"Osher, S., Sole, A., and Vese, L. 2003. Image decomposition and restoration using total variation minimization and the H-1 norm. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 1:(3)349\u2013370.","journal-title":"Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal"},{"issue":"4","key":"3219_CR14","doi-asserted-by":"crossref","first-page":"799","DOI":"10.1051\/m2an:2000104","volume":"34","author":"W. Ring","year":"2000","unstructured":"Ring, W. 2000. Structural properties of solutions to total variation regularization problems. M2AN Mathematical Modeling and Numerical Analyses. 34(4):799\u2013810.","journal-title":"M2AN Mathematical Modeling and Numerical analyses"},{"key":"3219_CR15","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/0167-2789(92)90242-F","volume":"60","author":"L.I. Rudin","year":"1992","unstructured":"Rudin, L.I., Osher, S., and Fatemi, E. 1992. Nonlinear total variation based noise removal algorithms Physica D, 60:259\u2013268.","journal-title":"Physica D"},{"key":"3219_CR16","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF02684327","volume":"60","author":"O. Scherzer","year":"1998","unstructured":"Scherzer, O. 1998. Denoising with higher order derivatives of bounded variation and an application to parameter estimation. Computing, 60:1\u201327.","journal-title":"Computing"},{"issue":"4","key":"3219_CR17","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1109\/TPAMI.1986.4767807","volume":"8","author":"D. Terzopoulos","year":"1986","unstructured":"Terzopoulos, D. 1986. Regularization of inverse visual problems involving discontinuities. IEEE Transactions on Pattern Analysis and Machine Intelligence, 8(4):413\u2013424.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"4","key":"3219_CR18","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1109\/34.3908","volume":"10","author":"D. Terzopoulos","year":"1988","unstructured":"Terzopoulos, D. 1988. The computation of visible-surface representations. IEEE Trans Pattern Anal Mach Intell, 10(4):417\u2013438.","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"key":"3219_CR19","volume-title":"Anisotropic Diffusion in Image Processing","author":"J. Weickert","year":"1998","unstructured":"Weickert, J. 1998. Anisotropic Diffusion in Image Processing, Stutgart, B.G. Teubner."},{"issue":"10","key":"3219_CR20","doi-asserted-by":"crossref","first-page":"1723","DOI":"10.1109\/83.869184","volume":"9","author":"Y.-L. You","year":"2000","unstructured":"You, Y-L. and Kaveh, M. 2000. Fourth-order partial differential equation for noise removal. IEEE Transactions on Image Processing, 9(10):1723\u20131730.","journal-title":"IEEE Transactions on Image Processing"},{"key":"3219_CR21","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-1015-3","volume-title":"Weakly differentiable functions, vol. 120 of Graduate Texts in Mathematics","author":"W. P. Ziemer","year":"1989","unstructured":"Ziemer, W. P. 1989. Weakly Differentiable Functions, vol. 120 of Graduate Texts in Mathematics. Springer-Verlag, New York, Sobolev spaces and functions of bounded variation."}],"container-title":["International Journal of Computer Vision"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11263-005-3219-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11263-005-3219-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11263-005-3219-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T12:16:32Z","timestamp":1559391392000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11263-005-3219-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,1]]},"references-count":21,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2006,1]]}},"alternative-id":["3219"],"URL":"https:\/\/doi.org\/10.1007\/s11263-005-3219-7","relation":{},"ISSN":["0920-5691","1573-1405"],"issn-type":[{"value":"0920-5691","type":"print"},{"value":"1573-1405","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,1]]}}}