{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,11]],"date-time":"2024-09-11T05:40:01Z","timestamp":1726033201811},"publisher-location":"Cham","reference-count":26,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030223670"},{"type":"electronic","value":"9783030223687"}],"license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019]]},"DOI":"10.1007\/978-3-030-22368-7_25","type":"book-chapter","created":{"date-parts":[[2019,6,20]],"date-time":"2019-06-20T23:08:07Z","timestamp":1561072087000},"page":"315-327","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Stable Explicit p-Laplacian Flows Based on Nonlinear Eigenvalue Analysis"],"prefix":"10.1007","author":[{"given":"Ido","family":"Cohen","sequence":"first","affiliation":[]},{"given":"Adi","family":"Falik","sequence":"additional","affiliation":[]},{"given":"Guy","family":"Gilboa","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,6,5]]},"reference":[{"issue":"3","key":"25_CR1","first-page":"321","volume":"14","author":"F Andreu","year":"2001","unstructured":"Andreu, F., Ballester, C., Caselles, V., Maz\u00f3n, J.M., et al.: Minimizing total variation flow. Differ. Integr. Eqn. 14(3), 321\u2013360 (2001)","journal-title":"Differ. Integr. Eqn."},{"issue":"2","key":"25_CR2","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1080\/01630563.2014.970643","volume":"36","author":"G Baravdish","year":"2015","unstructured":"Baravdish, G., Svensson, O., \u00c5str\u00f6m, F.: On backward p (x)-parabolic equations for image enhancement. Numer. Funct. Anal. Optim. 36(2), 147\u2013168 (2015)","journal-title":"Numer. Funct. Anal. Optim."},{"issue":"3","key":"25_CR3","doi-asserted-by":"publisher","first-page":"1374","DOI":"10.1137\/15M1054687","volume":"9","author":"M Burger","year":"2016","unstructured":"Burger, M., Gilboa, G., Moeller, M., Eckardt, L., Cremers, D.: Spectral decompositions using one-homogeneous functionals. SIAM J. Imaging Sci. 9(3), 1374\u20131408 (2016)","journal-title":"SIAM J. Imaging Sci."},{"issue":"1\u20132","key":"25_CR4","first-page":"89","volume":"20","author":"A Chambolle","year":"2004","unstructured":"Chambolle, A.: An algorithm for total variation minimization and applications. J. Math. Imaging Vis. 20(1\u20132), 89\u201397 (2004)","journal-title":"J. Math. Imaging Vis."},{"key":"25_CR5","doi-asserted-by":"crossref","unstructured":"Chen, J., Guo, J.: Image restoration based on adaptive p-Laplace diffusion. In: 3rd International Congress on Image and Signal Processing, vol. 1, pp. 143\u2013146. IEEE (2010)","DOI":"10.1109\/CISP.2010.5646369"},{"issue":"4","key":"25_CR6","doi-asserted-by":"publisher","first-page":"1383","DOI":"10.1137\/050624522","volume":"66","author":"Y Chen","year":"2006","unstructured":"Chen, Y., Levine, S., Rao, M.: Variable exponent, linear growth functionals in image restoration. SIAM J. Appl. Math. 66(4), 1383\u20131406 (2006)","journal-title":"SIAM J. Appl. Math."},{"key":"25_CR7","unstructured":"Cohen, I., Gilboa, G.: Shape preserving flows and the p-Laplacian spectra, HAL preprint hal-01870019"},{"key":"25_CR8","doi-asserted-by":"publisher","first-page":"1138","DOI":"10.1016\/j.jcp.2018.09.012","volume":"375","author":"I Cohen","year":"2018","unstructured":"Cohen, I., Gilboa, G.: Energy dissipating flows for solving nonlinear eigenpair problems. J. Comput. Phys. 375, 1138\u20131158 (2018)","journal-title":"J. Comput. Phys."},{"issue":"1","key":"25_CR9","doi-asserted-by":"publisher","first-page":"32","DOI":"10.1007\/BF01448839","volume":"100","author":"R Courant","year":"1928","unstructured":"Courant, R., Friedrichs, K., Lewy, H.: \u00dcber die partiellen differenzengleichungen der mathematischen physik. Math. Ann. 100(1), 32\u201374 (1928)","journal-title":"Math. Ann."},{"issue":"1","key":"25_CR10","doi-asserted-by":"publisher","first-page":"207","DOI":"10.1007\/BF02127704","volume":"6","author":"J Crank","year":"1996","unstructured":"Crank, J., Nicolson, P.: A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type. Adv. Comput. Math. 6(1), 207\u2013226 (1996)","journal-title":"Adv. Comput. Math."},{"issue":"12","key":"25_CR11","doi-asserted-by":"publisher","first-page":"126","DOI":"10.1080\/03605308708820534","volume":"12","author":"J Garc\u00eda Azorero","year":"1987","unstructured":"Garc\u00eda Azorero, J., Peral Alonso, I.: Existence and nonuniqueness for the p-Laplacian. Commun. Partial. Differ. Equ. 12(12), 126\u2013202 (1987)","journal-title":"Commun. Partial. Differ. Equ."},{"key":"25_CR12","unstructured":"Gawronska, E., Sczygiol, N.: Relationship between eigenvalues and size of time step in computer simulation of thermomechanics phenomena. In: Proceedings of the International MultiConference of Engineers and Computer Scientists, vol. 2 (2014)"},{"issue":"4","key":"25_CR13","doi-asserted-by":"publisher","first-page":"1937","DOI":"10.1137\/130930704","volume":"7","author":"G Gilboa","year":"2014","unstructured":"Gilboa, G.: A total variation spectral framework for scale and texture analysis. SIAM J. Imaging Sci. 7(4), 1937\u20131961 (2014)","journal-title":"SIAM J. Imaging Sci."},{"key":"25_CR14","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"533","DOI":"10.1007\/978-3-642-15986-2_54","volume-title":"Pattern Recognition","author":"S Grewenig","year":"2010","unstructured":"Grewenig, S., Weickert, J., Bruhn, A.: From box filtering to fast explicit diffusion. In: Goesele, M., Roth, S., Kuijper, A., Schiele, B., Schindler, K. (eds.) DAGM 2010. LNCS, vol. 6376, pp. 533\u2013542. Springer, Heidelberg (2010). \n                      https:\/\/doi.org\/10.1007\/978-3-642-15986-2_54"},{"issue":"2","key":"25_CR15","doi-asserted-by":"publisher","first-page":"1064","DOI":"10.1137\/17M1123596","volume":"56","author":"Y Hafiene","year":"2018","unstructured":"Hafiene, Y., Fadili, J., Elmoataz, A.: Nonlocal p-Laplacian evolution problems on graphs. SIAM J. Numer. Anal. 56(2), 1064\u20131090 (2018)","journal-title":"SIAM J. Numer. Anal."},{"issue":"17\u201318","key":"25_CR16","doi-asserted-by":"publisher","first-page":"7739","DOI":"10.1016\/j.apm.2016.03.039","volume":"40","author":"C Huang","year":"2016","unstructured":"Huang, C., Zeng, L.: Level set evolution model for image segmentation based on variable exponent p-Laplace equation. Appl. Math. Model. 40(17\u201318), 7739\u20137750 (2016)","journal-title":"Appl. Math. Model."},{"key":"25_CR17","volume-title":"A First Course in the Numerical Analysis of Differential Equations. No. 44","author":"A Iserles","year":"2009","unstructured":"Iserles, A.: A First Course in the Numerical Analysis of Differential Equations. No. 44. Cambridge University Press, Cambridge (2009)"},{"issue":"2","key":"25_CR18","doi-asserted-by":"publisher","first-page":"226","DOI":"10.1134\/S105466181302003X","volume":"23","author":"A Kuijper","year":"2013","unstructured":"Kuijper, A.: Image processing by minimising \n                      \n                        \n                      \n                      $$l^p$$\n                     norms. Pattern Recogn. Image Anal. 23(2), 226\u2013235 (2013)","journal-title":"Pattern Recogn. Image Anal."},{"key":"25_CR19","doi-asserted-by":"crossref","unstructured":"Kuijper, A.: p-Laplacian driven image processing. In: IEEE International Conference on Image Processing, ICIP 2007, vol. 5, p. V-257. IEEE (2007)","DOI":"10.1109\/ICIP.2007.4379814"},{"issue":"8","key":"25_CR20","doi-asserted-by":"publisher","first-page":"1023","DOI":"10.1016\/j.imavis.2008.09.003","volume":"27","author":"A Kuijper","year":"2009","unstructured":"Kuijper, A.: Geometrical PDEs based on second-order derivatives of gauge coordinates in image processing. Image Vis. Comput. 27(8), 1023\u20131034 (2009)","journal-title":"Image Vis. Comput."},{"issue":"2","key":"25_CR21","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1002\/cpa.3160090206","volume":"9","author":"PD Lax","year":"1956","unstructured":"Lax, P.D., Richtmyer, R.D.: Survey of the stability of linear finite difference equations. Commun. Pure Appl. Math. 9(2), 267\u2013293 (1956)","journal-title":"Commun. Pure Appl. Math."},{"issue":"6","key":"25_CR22","doi-asserted-by":"publisher","first-page":"1839","DOI":"10.3934\/dcdsb.2016025","volume":"21","author":"Q Liu","year":"2016","unstructured":"Liu, Q., Guo, Z., Wang, C.: Renormalized solutions to a reaction-diffusion system applied to image denoising. DCDS-B 21(6), 1839\u20131858 (2016)","journal-title":"DCDS-B"},{"issue":"7","key":"25_CR23","doi-asserted-by":"publisher","first-page":"629","DOI":"10.1109\/34.56205","volume":"12","author":"P Perona","year":"1990","unstructured":"Perona, P., Malik, J.: Scale-space and edge detection using anisotropic diffusion. PAMI 12(7), 629\u2013639 (1990)","journal-title":"PAMI"},{"key":"25_CR24","doi-asserted-by":"publisher","first-page":"632","DOI":"10.3923\/itj.2012.632.636","volume":"11","author":"W Wei","year":"2012","unstructured":"Wei, W., Zhou, B.: A p-Laplace equation model for image denoising. Inform. Technol. J. 11, 632\u2013636 (2012)","journal-title":"Inform. Technol. J."},{"key":"25_CR25","volume-title":"Anisotropic Diffusion in Image Processing","author":"J Weickert","year":"1998","unstructured":"Weickert, J.: Anisotropic Diffusion in Image Processing, vol. 1. Teubner, Stuttgart (1998)"},{"issue":"8","key":"25_CR26","doi-asserted-by":"publisher","first-page":"1151","DOI":"10.1109\/PROC.1976.10286","volume":"64","author":"B Widrow","year":"1976","unstructured":"Widrow, B., McCool, J.M., Larimore, M.G., Johnson, C.R.: Stationary and nonstationary learning characteristics of the LMS adaptive filter. Proc. IEEE 64(8), 1151\u20131162 (1976)","journal-title":"Proc. IEEE"}],"container-title":["Lecture Notes in Computer Science","Scale Space and Variational Methods in Computer Vision"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-22368-7_25","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,20]],"date-time":"2019-06-20T23:10:53Z","timestamp":1561072253000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-22368-7_25"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019]]},"ISBN":["9783030223670","9783030223687"],"references-count":26,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-22368-7_25","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2019]]},"assertion":[{"value":"5 June 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"SSVM","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Scale Space and Variational Methods in Computer Vision","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Hofgeismar","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Germany","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2019","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"30 June 2019","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"4 July 2019","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"7","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"scalespace2019","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/ssvm2019.mic.uni-luebeck.de\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}