{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,7]],"date-time":"2024-09-07T22:52:34Z","timestamp":1725749554306},"publisher-location":"Berlin, Heidelberg","reference-count":31,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642409240"},{"type":"electronic","value":"9783642409257"}],"license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-40925-7_18","type":"book-chapter","created":{"date-parts":[[2013,9,19]],"date-time":"2013-09-19T11:54:58Z","timestamp":1379591698000},"page":"177-189","source":"Crossref","is-referenced-by-count":1,"title":["Image Restoration Using Anisotropic Stochastic Diffusion Collaborated with Non Local Means"],"prefix":"10.1007","author":[{"given":"Dariusz","family":"Borkowski","sequence":"first","affiliation":[]},{"given":"Katarzyna","family":"Ja\u0144czak-Borkowska","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"issue":"11","key":"18_CR1","doi-asserted-by":"publisher","first-page":"4311","DOI":"10.1109\/TSP.2006.881199","volume":"54","author":"M. Aharon","year":"2006","unstructured":"Aharon, M., Elad, M., Bruckstein, A.: K-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation. IEEE Trans. Image Process.\u00a054(11), 4311\u20134322 (2006)","journal-title":"IEEE Trans. Image Process."},{"key":"18_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/b97428","volume-title":"Mathematical problems in image processing","author":"G. Aubert","year":"2002","unstructured":"Aubert, G., Kornprobst, P.: Mathematical problems in image processing. Springer, New York (2002)"},{"key":"18_CR3","doi-asserted-by":"crossref","unstructured":"Borkowski, D.: Chromaticity Denoising using Solution to the Skorokhod Problem. In: Image Processing Based on Partial Differential Equations. Mathematics and Visualization, Part II, pp. 149\u2013161 (2007)","DOI":"10.1007\/978-3-540-33267-1_9"},{"key":"18_CR4","doi-asserted-by":"publisher","first-page":"92","DOI":"10.1007\/978-3-540-75175-5_12","volume":"45","author":"D. Borkowski","year":"2007","unstructured":"Borkowski, D.: Modified diffusion to Image Denoising. Adv. Soft. Comp.\u00a045, 92\u201399 (2007)","journal-title":"Adv. Soft. Comp."},{"key":"18_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1007\/978-3-642-15910-7_26","volume-title":"Computer Vision and Graphics","author":"D. Borkowski","year":"2010","unstructured":"Borkowski, D.: Smoothing, Enhancing Filters in Terms of Backward Stochastic Differential Equations. In: Bolc, L., Tadeusiewicz, R., Chmielewski, L.J., Wojciechowski, K. (eds.) ICCVG 2010, Part I. LNCS, vol.\u00a06374, pp. 233\u2013240. Springer, Heidelberg (2010)"},{"key":"18_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"30","DOI":"10.1007\/978-3-642-33564-8_4","volume-title":"Computer Vision and Graphics","author":"D. Borkowski","year":"2012","unstructured":"Borkowski, D.: Euler\u2019s Approximations to Image Reconstruction. In: Bolc, L., Tadeusiewicz, R., Chmielewski, L.J., Wojciechowski, K. (eds.) ICCVG 2012. LNCS, vol.\u00a07594, pp. 30\u201337. Springer, Heidelberg (2012)"},{"key":"18_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"38","DOI":"10.1007\/978-3-642-33564-8_5","volume-title":"Computer Vision and Graphics","author":"D. Borkowski","year":"2012","unstructured":"Borkowski, D., Ja\u0144czak-Borkowska, K.: Application of Backward Stochastic Differential Equations to Reconstruction of Vector-Valued Images. In: Bolc, L., Tadeusiewicz, R., Chmielewski, L.J., Wojciechowski, K. (eds.) ICCVG 2012. LNCS, vol.\u00a07594, pp. 38\u201347. Springer, Heidelberg (2012)"},{"key":"18_CR8","first-page":"60","volume":"2","author":"A. Buades","year":"2005","unstructured":"Buades, A., Coll, B., Morel, J.M.: A non local algorithm for image denoising. IEEE Computer Vision and Pattern Recognition\u00a02, 60\u201365 (2005)","journal-title":"IEEE Computer Vision and Pattern Recognition"},{"issue":"2","key":"18_CR9","doi-asserted-by":"publisher","first-page":"490","DOI":"10.1137\/040616024","volume":"4","author":"A. Buades","year":"2006","unstructured":"Buades, A., Coll, B., Morel, J.M.: A review of image denoising algorithms, with a new one. Multiscale Model. Simul.\u00a04(2), 490\u2013530 (2006)","journal-title":"Multiscale Model. Simul."},{"key":"18_CR10","doi-asserted-by":"crossref","unstructured":"Buades, A., Coll, B., Morel, J.M.: Non-Local Means Denoising. Image Processing On Line (2011)","DOI":"10.5201\/ipol.2011.bcm_nlm"},{"issue":"1","key":"18_CR11","doi-asserted-by":"publisher","first-page":"182","DOI":"10.1137\/0729012","volume":"29","author":"F. Catte","year":"1992","unstructured":"Catte, F., Lions, P.L., Morel, J.M., Coll, T.: Image selective smoothing and edge detection by nonlinear diffusion. SIAM J. Numer. Anal.\u00a029(1), 182\u2013193 (1992)","journal-title":"SIAM J. Numer. Anal."},{"key":"18_CR12","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898717877","volume-title":"Image Processing and Analysis \u2013 Variational, PDE, wavelet, and stochastic methods","author":"T.F. Chan","year":"2005","unstructured":"Chan, T.F., Shen, J.J.: Image Processing and Analysis \u2013 Variational, PDE, wavelet, and stochastic methods. SIAM, Philadelphia (2005)"},{"issue":"8","key":"18_CR13","doi-asserted-by":"publisher","first-page":"2080","DOI":"10.1109\/TIP.2007.901238","volume":"16","author":"K. Dabov","year":"2007","unstructured":"Dabov, K., Foi, A., Katkovnik, V., Egiazarian, K.: Image denoising by sparse 3D transform-domain collaborative filtering. IEEE Trans. Image Process.\u00a016(8), 2080\u20132095 (2007)","journal-title":"IEEE Trans. Image Process."},{"issue":"4","key":"18_CR14","doi-asserted-by":"publisher","first-page":"1715","DOI":"10.1109\/TIP.2011.2176954","volume":"21","author":"A. Danielyan","year":"2012","unstructured":"Danielyan, A., Katkovnik, V., Egiazarian, K.: Bm3d frames and variational image deblurring. IEEE Trans. Image Process.\u00a021(4), 1715\u20131728 (2012)","journal-title":"IEEE Trans. Image Process."},{"issue":"3","key":"18_CR15","doi-asserted-by":"publisher","first-page":"425","DOI":"10.1093\/biomet\/81.3.425","volume":"81","author":"D.L. Donoho","year":"1994","unstructured":"Donoho, D.L., Johnstone, I.M.: Ideal spatial adaptation via wavelet shrinkage. Biometrika\u00a081(3), 425\u2013455 (1994)","journal-title":"Biometrika"},{"key":"18_CR16","doi-asserted-by":"publisher","first-page":"721","DOI":"10.1109\/TPAMI.1984.4767596","volume":"6","author":"S. Geman","year":"1984","unstructured":"Geman, S., Geman, D.: Stochastic relaxation, gibbs distributions and the bayesian restoration of images. IEEE Pat. Anal. Mach. Intell.\u00a06, 721\u2013741 (1984)","journal-title":"IEEE Pat. Anal. Mach. Intell."},{"issue":"1","key":"18_CR17","doi-asserted-by":"publisher","first-page":"7","DOI":"10.1007\/s11263-006-6849-5","volume":"69","author":"O. Juan","year":"2006","unstructured":"Juan, O., Keriven, R., Postelnicu, G.: Stochastic Motion and the Level Set Method in Computer Vision: Stochastic Active Contours. Int. J. Comput. Vision\u00a069(1), 7\u201325 (2006)","journal-title":"Int. J. Comput. Vision"},{"key":"18_CR18","doi-asserted-by":"crossref","unstructured":"Katkovnik, V., Danielyan, A., Egiazarian, K.: Decoupled inverse and denoising for image deblurring: variational BM3D-frame technique. In: Proceedings of IEEE International Conference on Image Processing (2011)","DOI":"10.1109\/ICIP.2011.6116455"},{"key":"18_CR19","unstructured":"Lebrun, M., Buades, A., Morel, J.M.: Implementation of the Non-local Bayes image denoising. Image Processing On Line (2011)"},{"issue":"1","key":"18_CR20","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1109\/TIP.2007.911828","volume":"17","author":"J. Mairal","year":"2008","unstructured":"Mairal, J., Elad, M., Sapiro, G.: Sparse representation for color image restoration. IEEE Trans. Image Process.\u00a017(1), 53\u201369 (2008)","journal-title":"IEEE Trans. Image Process."},{"issue":"7","key":"18_CR21","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. IEEE Trans. Pattern Anal. Mach. Intell.\u00a012(7), 629\u2013639 (1990)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"1","key":"18_CR22","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1364\/JOSA.62.000055","volume":"62","author":"W.H. Richardson","year":"1972","unstructured":"Richardson, W.H.: Bayesian-based iterative method of image restoration. JOSA\u00a062(1), 55\u201359 (1972)","journal-title":"JOSA"},{"key":"18_CR23","doi-asserted-by":"publisher","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., Fatemi, E.: Nonlinear total variation based noise removal algorithms. Phys. D\u00a060, 259\u2013268 (1992)","journal-title":"Phys. D"},{"key":"18_CR24","doi-asserted-by":"publisher","first-page":"317","DOI":"10.1016\/S0304-4149(01)00087-4","volume":"94","author":"L. S\u0142omi\u0144ski","year":"2001","unstructured":"S\u0142omi\u0144ski, L.: Euler\u2019s approximations of solutions of SDEs with reflecting boundary. Stoch. Proc. Appl.\u00a094, 317\u2013337 (2001)","journal-title":"Stoch. Proc. Appl."},{"issue":"1","key":"18_CR25","doi-asserted-by":"crossref","first-page":"163","DOI":"10.32917\/hmj\/1206135203","volume":"9","author":"H. Tanaka","year":"1979","unstructured":"Tanaka, H.: Stochastic differential equations with reflecting boundary condition in convex regions. Hiroshima Math. J.\u00a09(1), 163\u2013177 (1979)","journal-title":"Hiroshima Math. J."},{"issue":"12","key":"18_CR26","doi-asserted-by":"publisher","first-page":"1405","DOI":"10.1109\/TIP.2002.804568","volume":"11","author":"G. Unal","year":"2002","unstructured":"Unal, G., Krim, H., Yezzi, A.: Stochastic differential equations and geometric flows. IEEE Trans. Image Process.\u00a011(12), 1405\u20131416 (2002)","journal-title":"IEEE Trans. Image Process."},{"key":"18_CR27","unstructured":"Unal, G., Ben-Arous, G., Nain, D., Shimkin, N., Tannenbaum, A., Zeitouni, O.: Algorithms for stochastic approximations of curvature flows. In: Image Processing, Proceedings ICIP 2003, vol. 2-3, pp. 651\u2013654 (2003)"},{"issue":"4","key":"18_CR28","doi-asserted-by":"publisher","first-page":"600","DOI":"10.1109\/TIP.2003.819861","volume":"13","author":"Z. Wang","year":"2004","unstructured":"Wang, Z., Bovik, A.C., Sheikh, H.R., Simoncelli, E.P.: Image quality assessment: From error visibility to structural similarity. IEEE Trans. Image Process.\u00a013(4), 600\u2013612 (2004)","journal-title":"IEEE Trans. Image Process."},{"key":"18_CR29","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1007\/978-3-7091-6586-7_13","volume":"11","author":"J. Weickert","year":"1996","unstructured":"Weickert, J.: Theoretical Foundations of Anisotropic Diffusion in Image Processing. Computing Suppement\u00a011, 221\u2013236 (1996)","journal-title":"Computing Suppement"},{"issue":"2\/3","key":"18_CR30","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1023\/A:1008009714131","volume":"31","author":"J. Weickert","year":"1999","unstructured":"Weickert, J.: Coherence-Enhancing Diffusion Filtering. Int. J. Comput. Vision\u00a031(2\/3), 111\u2013127 (1999)","journal-title":"Int. J. Comput. Vision"},{"key":"18_CR31","doi-asserted-by":"crossref","unstructured":"Yaroslavsky, L.P.: Local adaptive image restoration and enhancement with the use of DFT and DCT in a running window. In: Proceedings of SPIE, vol.\u00a02825, pp. 2\u201313 (1996)","DOI":"10.1117\/12.255218"}],"container-title":["Lecture Notes in Computer Science","Computer Information Systems and Industrial Management"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-40925-7_18","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,17]],"date-time":"2019-05-17T07:37:02Z","timestamp":1558078622000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-40925-7_18"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642409240","9783642409257"],"references-count":31,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-40925-7_18","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2013]]}}}