{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,24]],"date-time":"2026-03-24T20:08:17Z","timestamp":1774382897786,"version":"3.50.1"},"publisher-location":"Berlin, Heidelberg","reference-count":23,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540728221","type":"print"},{"value":"9783540728238","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/978-3-540-72823-8_12","type":"book-chapter","created":{"date-parts":[[2007,7,22]],"date-time":"2007-07-22T21:40:19Z","timestamp":1185140419000},"page":"128-139","source":"Crossref","is-referenced-by-count":47,"title":["Discrete Regularization on Weighted Graphs for Image and Mesh Filtering"],"prefix":"10.1007","author":[{"given":"S\u00e9bastien","family":"Bougleux","sequence":"first","affiliation":[]},{"given":"Abderrahim","family":"Elmoataz","sequence":"additional","affiliation":[]},{"given":"Mahmoud","family":"Melkemi","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"issue":"2","key":"12_CR1","doi-asserted-by":"publisher","first-page":"490","DOI":"10.1137\/040616024","volume":"4","author":"A. Buades","year":"2005","unstructured":"Buades, A., Coll, B., Morel, J.-M.: A review of image denoising algorithms, with a new one. Multiscale Modeling and Simulation\u00a04(2), 490\u2013530 (2005)","journal-title":"Multiscale Modeling and Simulation"},{"key":"12_CR2","volume-title":"Image Processing and Analysis - variational, PDE, wavelets, and stochastic methods","author":"T.F. Chan","year":"2005","unstructured":"Chan, T.F., Shen, J.: Image Processing and Analysis - variational, PDE, wavelets, and stochastic methods. SIAM, Philadelphia (2005)"},{"key":"12_CR3","doi-asserted-by":"publisher","first-page":"509","DOI":"10.1017\/S0962492904000273","volume":"14","author":"Y.-H.R. Tsai","year":"2005","unstructured":"Tsai, Y.-H.R., Osher, S.: Total variation and level set methods in image science. Acta Numerica\u00a014, 509\u2013573 (2005)","journal-title":"Acta Numerica"},{"issue":"3","key":"12_CR4","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1007\/BF00375127","volume":"123","author":"L. Alvarez","year":"1993","unstructured":"Alvarez, L., et al.: Axioms and fundamental equations of image processing. Archive for Rational Mechanics and Analysis\u00a0123(3), 199\u2013257 (1993)","journal-title":"Archive for Rational Mechanics and Analysis"},{"key":"12_CR5","unstructured":"Taubin, G.: Geometric signal processing on polygonal meshes. In: Eurographics, State of the Art Report (2000)"},{"key":"12_CR6","doi-asserted-by":"publisher","first-page":"789","DOI":"10.1016\/S0010-4485(01)00095-1","volume":"33","author":"Y. Ohtake","year":"2001","unstructured":"Ohtake, Y., Belyaev, A., Bogaeski, I.: Mesh regularization and adaptive smoothing. Computer-Aided Design\u00a033, 789\u2013800 (2001)","journal-title":"Computer-Aided Design"},{"key":"12_CR7","first-page":"861","volume-title":"ICIP\u201903: Proc of the Inter. Conf. on Image Processing, vol. I","author":"N. Sochen","year":"2003","unstructured":"Sochen, N., Deriche, R., Lopez-Perez, L.: Variational Beltrami flows over manifolds. In: ICIP\u201903: Proc of the Inter. Conf. on Image Processing, vol. I, pp. 861\u2013864. IEEE Computer Society Press, Los Alamitos (2003)"},{"key":"12_CR8","unstructured":"Desbrun, M., et al.: Anisotropic feature-preserving denoising of height fields and bivariate data. In: Graphics Interface, pp. 145\u2013152 (2000)"},{"issue":"1","key":"12_CR9","doi-asserted-by":"publisher","first-page":"4","DOI":"10.1145\/588272.588276","volume":"22","author":"C.L. Bajaj","year":"2003","unstructured":"Bajaj, C.L., Xu, G.: Anisotropic diffusion of surfaces and functions on surfaces. ACM Trans. on Graph.\u00a022(1), 4\u201332 (2003)","journal-title":"ACM Trans. on Graph."},{"issue":"3","key":"12_CR10","doi-asserted-by":"publisher","first-page":"391","DOI":"10.1111\/j.1467-8659.2004.00770.x","volume":"23","author":"K. Hildebrandt","year":"2004","unstructured":"Hildebrandt, K., Polthier, K.: Anisotropic filtering of non-linear surface features. Comput. Graph. Forum (Eurographics 2004)\u00a023(3), 391\u2013400 (2004)","journal-title":"Comput. Graph. Forum"},{"key":"12_CR11","first-page":"751","volume-title":"Analytical-Computational methods in Applied Mathematics","author":"S. Osher","year":"2000","unstructured":"Osher, S., Shen, J.: Digitized PDE method for data restoration. In: Anastassiou, G.A. (ed.) Analytical-Computational methods in Applied Mathematics, pp. 751\u2013771. Chapman&Hall\/CRC, Boca Raton (2000)"},{"key":"12_CR12","first-page":"839","volume-title":"ICCV\u201998: Proc. of the 6th Int. Conf. on Computer Vision","author":"C. Tomasi","year":"1998","unstructured":"Tomasi, C., Manduchi, R.: Bilateral filtering for gray and color images. In: ICCV\u201998: Proc. of the 6th Int. Conf. on Computer Vision, pp. 839\u2013846. IEEE Computer Society Press, Los Alamitos (1998)"},{"key":"12_CR13","series-title":"CBMS Regional Conference Series in Mathematics","volume-title":"Spectral graph theory","author":"F. Chung","year":"1997","unstructured":"Chung, F.: Spectral graph theory. CBMS Regional Conference Series in Mathematics, vol.\u00a092. American Mathematical Society, Providence (1997)"},{"key":"12_CR14","doi-asserted-by":"crossref","unstructured":"Coifman, R., et al.: Geometries of sensor outputs, inference, and information processing. In: Intelligent Integrated Microsystems. Proc. of SPIE, vol.\u00a06232 (2006)","DOI":"10.1117\/12.669723"},{"key":"12_CR15","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"136","DOI":"10.1007\/11585978_10","volume-title":"Energy Minimization Methods in Computer Vision and Pattern Recognition","author":"A. Chambolle","year":"2005","unstructured":"Chambolle, A.: Total variation minimization and a class of binary MRF models. In: Rangarajan, A., Vemuri, B., Yuille, A.L. (eds.) EMMCVPR 2005. LNCS, vol.\u00a03757, pp. 136\u2013152. Springer, Heidelberg (2005)"},{"key":"12_CR16","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"548","DOI":"10.1007\/978-3-540-30503-3_40","volume-title":"Combinatorial Image Analysis","author":"J. Darbon","year":"2004","unstructured":"Darbon, J., Sigelle, M.: Exact optimization of discrete constrained total variation minimization problems. In: Klette, R., \u017duni\u0107, J. (eds.) IWCIA 2004. LNCS, vol.\u00a03322, pp. 548\u2013557. Springer, Heidelberg (2004)"},{"key":"12_CR17","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"361","DOI":"10.1007\/11550518_45","volume-title":"Pattern Recognition","author":"D. Zhou","year":"2005","unstructured":"Zhou, D., Sch\u00f6lkopf, B.: Regularization on discrete spaces. In: Kropatsch, W.G., Sablatnig, R., Hanbury, A. (eds.) DAGM 2005. LNCS, vol.\u00a03663, pp. 361\u2013368. Springer, Heidelberg (2005)"},{"key":"12_CR18","series-title":"Lecture Notes in Computer Science","first-page":"745","volume-title":"Advances in Visual Computing","author":"A. Elmoataz","year":"2005","unstructured":"Elmoataz, A., Bougleux, S.: Image Smoothing and Segmentation by Graph Regularization. In: Bebis, G., et al. (eds.) ISVC 2005. LNCS, vol.\u00a03804, pp. 745\u2013752. Springer, Heidelberg (2005)"},{"issue":"1","key":"12_CR19","first-page":"13","volume":"12","author":"A. Bensoussan","year":"2005","unstructured":"Bensoussan, A., Menaldi, J.-L.: Difference equations on weighted graphs. Journal of Convex Analysis\u00a012(1), 13\u201344 (2005)","journal-title":"Journal of Convex Analysis"},{"issue":"2","key":"12_CR20","doi-asserted-by":"publisher","first-page":"229","DOI":"10.2140\/pjm.2004.216.229","volume":"216","author":"J. Friedman","year":"2004","unstructured":"Friedman, J., Tillich, J.-P.: Wave equations for graphs and the edge-based laplacian. Pacific Journal of Mathematics\u00a0216(2), 229\u2013266 (2004)","journal-title":"Pacific Journal of Mathematics"},{"issue":"6","key":"12_CR21","doi-asserted-by":"publisher","first-page":"844","DOI":"10.1109\/TPAMI.2002.1008390","volume":"24","author":"D. Barash","year":"2002","unstructured":"Barash, D.: A fundamental relationship between bilateral filtering, adaptive smoothing, and the nonlinear diffusion equation. IEEE Trans. Pattern Anal. Mach. Intell.\u00a024(6), 844\u2013847 (2002)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"3","key":"12_CR22","doi-asserted-by":"publisher","first-page":"950","DOI":"10.1145\/882262.882368","volume":"22","author":"S. Fleishman","year":"2003","unstructured":"Fleishman, S., Drori, I., Cohen-Or, D.: Bilateral mesh denoising. ACM Trans. on Graphics\u00a022(3), 950\u2013953 (2003)","journal-title":"ACM Trans. on Graphics"},{"key":"12_CR23","doi-asserted-by":"crossref","unstructured":"Coifman, R.R., et al.: Geometric diffusions as a tool for harmonic analysis and structure definition of data. Proc. of the National Academy of Sciences\u00a0102(21) (2005)","DOI":"10.1073\/pnas.0500334102"}],"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\/978-3-540-72823-8_12.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T09:48:21Z","timestamp":1619516901000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-72823-8_12"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540728221","9783540728238"],"references-count":23,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-72823-8_12","relation":{},"subject":[]}}