{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,4]],"date-time":"2026-10-04T14:51:29Z","timestamp":1791125489896,"version":"4.1.0"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"2-3","license":[{"start":{"date-parts":[[2007,11,1]],"date-time":"2007-11-01T00:00:00Z","timestamp":1193875200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computing"],"published-print":{"date-parts":[[2007,11]]},"DOI":"10.1007\/s00607-007-0246-y","type":"journal-article","created":{"date-parts":[[2007,11,6]],"date-time":"2007-11-06T09:48:05Z","timestamp":1194342485000},"page":"137-160","source":"Crossref","is-referenced-by-count":5,"title":["Signal and image approximation with level-set constraints"],"prefix":"10.1007","volume":"81","author":[{"given":"C.","family":"Schn\u00f6rr","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2007,11,6]]},"reference":[{"issue":"4","key":"246_CR1","doi-asserted-by":"crossref","first-page":"1203","DOI":"10.1137\/S1052623402401221","volume":"15","author":"M. Anitescu","year":"2005","unstructured":"Anitescu M. (2005). On using the elastic mode in nonlinear programming approaches to mathematical programs with complementarity constraints. SIAM J Optim 15(4): 1203\u20131236","journal-title":"SIAM J Optim"},{"key":"246_CR2","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1007\/s10479-004-5022-1","volume":"133","author":"L.T.H. An","year":"2005","unstructured":"An L.T.H. and Tao P.D. (2005). The DC (difference of convex functions) programming and DCA revisited with DC models of real world nonconvex optimization problems. Ann Oper Res 133: 23\u201346","journal-title":"Ann Oper Res"},{"issue":"1","key":"246_CR3","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1007\/s11263-006-4331-z","volume":"67","author":"J.-F. Aujol","year":"2006","unstructured":"Aujol J.-F., Gilboa G., Chan T. and Osher S. (2006). Structure-texture image decomposition \u2013 modeling, algorithms, parameter selection. Int J Comp Vision 67(1): 111\u2013136","journal-title":"Int J Comp Vision"},{"key":"246_CR4","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511804441","volume-title":"Convex optimization","author":"S. Boyd","year":"2004","unstructured":"Boyd S. and Vandenberghe L. (2004). Convex optimization. Cambridge University Press, London"},{"key":"246_CR5","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1023\/B:JMIV.0000011320.81911.38","volume":"20","author":"A. Chambolle","year":"2004","unstructured":"Chambolle A. (2004). An algorithm for total variation minimization and applications. J Math Imaging Vis 20: 89\u201397","journal-title":"J Math Imaging Vis"},{"key":"246_CR6","volume-title":"The linear complementarity problem","author":"R.W. Cottle","year":"1992","unstructured":"Cottle R.W., Pang J.-S. and Stone R.E. (1992). The linear complementarity problem. Academic, Dublin"},{"key":"246_CR7","volume-title":"Finite-dimensional variational inequalities and complementarity problems, vol. I","author":"F. Facchinei","year":"2003","unstructured":"Facchinei F. and Pang J.-S. (2003). Finite-dimensional variational inequalities and complementarity problems, vol. I. Springer, New York"},{"key":"246_CR8","doi-asserted-by":"crossref","first-page":"2527","DOI":"10.1098\/rsta.1999.0446","volume":"357","author":"D.J. Field","year":"1999","unstructured":"Field D.J. (1999). Wavelets, vision, the statistics of natural scenes. Philos Trans R Soc Lond A 357: 2527\u20132542","journal-title":"Philos Trans R Soc Lond A"},{"key":"246_CR9","volume-title":"Kronecker products and matrix calculus with applications","author":"A. Graham","year":"1981","unstructured":"Graham A. (1981). Kronecker products and matrix calculus with applications. Wiley, New York"},{"issue":"1","key":"246_CR10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1023\/A:1021765131316","volume":"103","author":"R. Horst","year":"1999","unstructured":"Horst R. and Thoai N.V. (1999). DC programming: overview. J Optim Theory Appl 103(1): 1\u201343","journal-title":"J Optim Theory Appl"},{"issue":"2","key":"246_CR11","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1007\/s10957-004-5154-0","volume":"123","author":"X.M. Hu","year":"2004","unstructured":"Hu X.M. and Ralph D. (2004). Convergence of a penalty method for mathematical programming with complementarity constraints. J Optim Theory Appl 123(2): 365\u2013390","journal-title":"J Optim Theory Appl"},{"key":"246_CR12","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1023\/A:1023705401078","volume":"54","author":"A.B. Lee","year":"2003","unstructured":"Lee A.B., Pedersen K.S. and Mumford D. (2003). The nonlinear statistics of high-contrast patches in natural images. Int J Comp Vision 54: 83\u2013103","journal-title":"Int J Comp Vision"},{"issue":"1","key":"246_CR13","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1137\/040621065","volume":"17","author":"S. Leyffer","year":"2006","unstructured":"Leyffer S., Lopez-Calva G. and Nocedal J. (2006). Interior methods for mathematical programs with complementarity constraints. SIAM J Optim 17(1): 52\u201377","journal-title":"SIAM J Optim"},{"key":"246_CR14","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511983658","volume-title":"Mathematical programs with equilibrium constraints","author":"Z.-Q. Luo","year":"1996","unstructured":"Luo Z.-Q., Pang J.-S. and Ralph D. (1996). Mathematical programs with equilibrium constraints. Cambridge University Press, London"},{"issue":"3","key":"246_CR15","doi-asserted-by":"crossref","first-page":"720","DOI":"10.1137\/S1052623403429081","volume":"15","author":"A.U. Raghunathan","year":"2005","unstructured":"Raghunathan A.U. and Biegler L.T. (2005). An interior point method for mathematical programs with complementarity constraints (MPCCs). SIAM J Optim 15(3): 720\u2013750","journal-title":"SIAM J Optim"},{"key":"246_CR16","doi-asserted-by":"crossref","unstructured":"Rockafellar, R. T., Wets, R. J.-B.: Variational analysis. In: Grundlehren der math. Wissenschaften, vol. 317. Springer, New York (1998)","DOI":"10.1007\/978-3-642-02431-3"},{"key":"246_CR17","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/0167-2789(92)90242-F","volume":"60","author":"L. Rudin","year":"1992","unstructured":"Rudin L., Osher S. and Fatemi E. (1992). Nonlinear total variation based noise removal algorithms. Phys D 60: 259\u2013268","journal-title":"Phys D"},{"key":"246_CR18","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1287\/moor.25.1.1.15213","volume":"25","author":"H. Scheel","year":"2000","unstructured":"Scheel H. and Scholtes S. (2000). Mathematical program with complementarity constraints: stationarity, optimality and sensitivity. Math Oper Res 25: 1\u201322","journal-title":"Math Oper Res"},{"issue":"4","key":"246_CR19","doi-asserted-by":"crossref","first-page":"918","DOI":"10.1137\/S1052623499361233","volume":"11","author":"S. Scholtes","year":"2001","unstructured":"Scholtes S. (2001). Convergence properties of a regularization scheme for mathematical programs with complementarity constraints. SIAM J Optim 11(4): 918\u2013936","journal-title":"SIAM J Optim"},{"issue":"9","key":"246_CR20","doi-asserted-by":"crossref","first-page":"1200","DOI":"10.1109\/TPAMI.2002.1033212","volume":"24","author":"A. Srivastava","year":"2002","unstructured":"Srivastava A., Liu X. and Grenander U. (2002). Universal analytical forms for modeling image probabilities. IEEE Trans Pattern Anal Mach Intell 24(9): 1200\u20131214","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"2","key":"246_CR21","doi-asserted-by":"crossref","first-page":"476","DOI":"10.1137\/S1052623494274313","volume":"8","author":"P.D. Tao","year":"1998","unstructured":"Tao P.D. and An L.T.H. (1998). A D.C. optimization algorithm for solving the trust-region subproblem. SIAM J Optim 8(2): 476\u2013505","journal-title":"SIAM J Optim"},{"issue":"11","key":"246_CR22","doi-asserted-by":"crossref","first-page":"1236","DOI":"10.1109\/34.632983","volume":"19","author":"S.C. Zhu","year":"1997","unstructured":"Zhu S.C. and Mumford D. (1997). Prior learning and gibbs reaction-diffusion. IEEE Trans Pattern Anal Mach Intell 19(11): 1236-1250","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"2","key":"246_CR23","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1023\/A:1007925832420","volume":"27","author":"S.C. Zhu","year":"1998","unstructured":"Zhu S.C., Wu Y. and Mumford D. (1998). Filters, random fields and maximum entropy (FRAME). Towards a unified theory for texture modeling. Int J Comp Vision 27(2): 107\u2013126","journal-title":"Int J Comp Vision"}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00607-007-0246-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00607-007-0246-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00607-007-0246-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T14:30:20Z","timestamp":1559140220000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00607-007-0246-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,11]]},"references-count":23,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[2007,11]]}},"alternative-id":["246"],"URL":"https:\/\/doi.org\/10.1007\/s00607-007-0246-y","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,11]]}}}