{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:32:50Z","timestamp":1772296370805,"version":"3.50.1"},"reference-count":93,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2007,11,17]],"date-time":"2007-11-17T00:00:00Z","timestamp":1195257600000},"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 Vis"],"published-print":{"date-parts":[[2008,8]]},"DOI":"10.1007\/s11263-007-0096-2","type":"journal-article","created":{"date-parts":[[2007,11,16]],"date-time":"2007-11-16T16:05:29Z","timestamp":1195229129000},"page":"45-69","source":"Crossref","is-referenced-by-count":124,"title":["Local Adaptivity to Variable Smoothness for Exemplar-Based Image Regularization and Representation"],"prefix":"10.1007","volume":"79","author":[{"given":"Charles","family":"Kervrann","sequence":"first","affiliation":[]},{"given":"J\u00e9r\u00f4me","family":"Boulanger","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2007,11,17]]},"reference":[{"issue":"1","key":"96_CR1","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1007\/s10851-005-4783-8","volume":"22","author":"J. F. Aujol","year":"2005","unstructured":"Aujol, J. F., Aubert, G., Blanc-F\u00e9raud, L., & Chambolle, A. (2005). Image decomposition into a bounded variation component and an oscillating component. Journal of Mathematical Imaging and Vision, 22(1), 71\u201388.","journal-title":"Journal of Mathematical Imaging and Vision"},{"key":"96_CR2","unstructured":"Aurich, V., & Weule, J. (1995). Nonlinear Gaussian filters performing edge preserving diffusion. In Proceedings of the 17th DAGM symposium (pp.\u00a0538\u2013545), Bielefeld, Germany."},{"key":"96_CR3","doi-asserted-by":"crossref","unstructured":"Awate, S.\u00a0P., & Whitaker, R.\u00a0T. (2005). Higher-order image statistics for unsupervised, information-theoretic, adaptive image filtering. In Proceedings of the computer vision and pattern recognition (CVPR\u201905) (Vol.\u00a02, pp.\u00a044\u201351), San Diego, CA.","DOI":"10.1109\/CVPR.2005.176"},{"key":"96_CR4","doi-asserted-by":"crossref","unstructured":"Azzabou, N., Paragios, N., Cao, F., & Guichard, F. (2007). Variable bandwidth image denoising using image-based noise models. In Proceedings of the IEEE international conference on computer vision and pattern recognition (CVPR\u201907) (pp.\u00a01\u20137). Minneapolis, MN.","DOI":"10.1109\/CVPR.2007.383216"},{"issue":"6","key":"96_CR5","doi-asserted-by":"crossref","first-page":"844","DOI":"10.1109\/TPAMI.2002.1008390","volume":"24","author":"D. Barash","year":"2002","unstructured":"Barash, D. (2002). A\u00a0fundamental relationship between bilateral filtering, adaptive smoothing and the nonlinear diffusion equation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 24(6), 844\u2013847.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"1","key":"96_CR6","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1016\/j.imavis.2003.08.005","volume":"22","author":"D. Barash","year":"2004","unstructured":"Barash, D., & Comaniciu, D. (2004). A common framework for nonlinear diffusion, adaptive smoothing, bilateral filtering and mean-shift. Image and Video Computing, 22(1), 73\u201381.","journal-title":"Image and Video Computing"},{"key":"96_CR7","doi-asserted-by":"crossref","DOI":"10.7551\/mitpress\/7132.001.0001","volume-title":"Visual reconstruction","author":"A. Blake","year":"1987","unstructured":"Blake, A., & Zisserman, A. (1987). Visual reconstruction. Cambridge: MIT Press."},{"key":"96_CR8","series-title":"Lecture notes in computer science","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1007\/3-540-48236-9_23","volume-title":"Proceedings of the scale-space theories in computer vision (Scale-Space\u201999)","author":"M. J. Black","year":"1999","unstructured":"Black, M. J., & Sapiro, G. (1999). Edges as outliers: anisotropic smoothing using local image statistics. In Lecture notes in computer science : Vol.\u00a01682. Proceedings of the scale-space theories in computer vision (Scale-Space\u201999) (pp. 259\u2013270), Kerkyra, Greece. Berlin: Springer."},{"issue":"3","key":"96_CR9","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1109\/83.661192","volume":"7","author":"M. J. Black","year":"1998","unstructured":"Black, M. J., Sapiro, G., Marimont, D. H., & Heeger, D. (1998). Robust anisotropic diffusion. IEEE Transactions on Image Processing, 7(3), 421\u2013432.","journal-title":"IEEE Transactions on Image Processing"},{"issue":"6","key":"96_CR10","doi-asserted-by":"crossref","first-page":"1096","DOI":"10.1109\/TPAMI.2007.1064","volume":"28","author":"J. Boulanger","year":"2007","unstructured":"Boulanger, J., Kervrann, K., & Bouthemy, P. (2007). Space\u2013time adaptation for patch based image sequence restoration. IEEE Transactions on Pattern Analysis and Machine Intelligence, 28(6), 1096\u20131102.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"12","key":"96_CR11","doi-asserted-by":"crossref","first-page":"1283","DOI":"10.1109\/34.735802","volume":"20","author":"Y. Boykov","year":"1998","unstructured":"Boykov, Y., Veksler, O., & Zabih, R. (1998). A variable window approach to early vision. IEEE Transactions on Pattern Analysis and Machine Intelligence, 20(12), 1283\u20131294.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"96_CR12","unstructured":"Brox, T., & Cremers, D. (2007). Iterated non-local means for texture restoration. In In Proceedings of the conference on scale-space and variational methods (SSVM\u2019 07), Ischia, Italy."},{"key":"96_CR13","doi-asserted-by":"crossref","unstructured":"Brox, T., & Weickert, J. (2004). A TV flow based local scale measure for texture discrimination. In Proceedings of the European conference on computer vision (ECCV\u201904) (Vol.\u00a02, pp.\u00a0578\u2013590), Prague, Czech Republic.","DOI":"10.1007\/978-3-540-24671-8_46"},{"issue":"2","key":"96_CR14","doi-asserted-by":"crossref","first-page":"490","DOI":"10.1137\/040616024","volume":"4","author":"A. Buades","year":"2005","unstructured":"Buades, A., Coll, B., & Morel, J.-M. (2005a). A review of image denoising algorithms, with a new one. Multiscale Modeling and Simulation, 4(2), 490\u2013530.","journal-title":"Multiscale Modeling and Simulation"},{"key":"96_CR15","doi-asserted-by":"crossref","unstructured":"Buades, A., Coll, B., & Morel, J.-M. (2005b). A non local algorithm for image denoising. In Proceedings of the computer vision and pattern recognition (CVPR\u201905) (Vol.\u00a02, pp.\u00a060\u201365), San Diego, CA.","DOI":"10.1109\/CVPR.2005.38"},{"issue":"1","key":"96_CR16","doi-asserted-by":"crossref","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. (1992). Image selective smoothing and edge-detection by nonlinear diffusion. SIAM Journal on Numerical Analysis, 29(1), 182\u2013193.","journal-title":"SIAM Journal on Numerical Analysis"},{"issue":"2","key":"96_CR17","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1109\/83.902288","volume":"10","author":"T. F. Chan","year":"2001","unstructured":"Chan, T. F., Osher, S., & Shen, J. (2001). The digital TV filter and nonlinear denoising. IEEE Transactions on Image Processing, 10(2), 231\u2013241.","journal-title":"IEEE Transactions on Image Processing"},{"issue":"8","key":"96_CR18","doi-asserted-by":"crossref","first-page":"790","DOI":"10.1109\/34.400568","volume":"17","author":"I. Cheng","year":"1995","unstructured":"Cheng, I. (1995). Mean-shift, mode seeking, and clustering. IEEE Transactions on Pattern Analysis and Machine Intelligence, 17(8), 790\u2013799.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"442","key":"96_CR19","doi-asserted-by":"crossref","first-page":"526","DOI":"10.1080\/01621459.1998.10473702","volume":"93","author":"C. K. Chu","year":"1998","unstructured":"Chu, C. K., Glad, K., Godtliebsen, F., & Marron, J. S. (1998). Edge-preserving smoothers for image processing. Journal of the American Statistical Association, 93(442), 526\u2013555.","journal-title":"Journal of the American Statistical Association"},{"issue":"5","key":"96_CR20","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1109\/34.1000236","volume":"24","author":"D. Comaniciu","year":"2002","unstructured":"Comaniciu, D., & Meer, P. (2002). Mean-shift: a robust approach toward feature space analysis. IEEE Transactions on Pattern Analysis and Machine Intelligence, 24(5), 603\u2013619.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"96_CR21","doi-asserted-by":"crossref","unstructured":"Comaniciu, D., Ramesh, V., & Meer, P. (2001). The variable bandwidth mean-shift and data-driven scale selection. In Proceedings of the international conference on computer vision (ICCV\u201901) (Vol.\u00a01, pp.\u00a0438\u2013445), Vancouver, Canada.","DOI":"10.1109\/ICCV.2001.937550"},{"issue":"9","key":"96_CR22","doi-asserted-by":"crossref","first-page":"1200","DOI":"10.1109\/TIP.2004.833105","volume":"13","author":"A. Criminisi","year":"2004","unstructured":"Criminisi, A., P\u00e9rez, P., & Toyama, K. (2004). Region filling and object removal by exemplar-based inpainting. IEEE Transactions on Image Processing, 13(9), 1200\u20131212.","journal-title":"IEEE Transactions on Image Processing"},{"key":"96_CR23","doi-asserted-by":"crossref","unstructured":"Dabov, K., Foi, A., Katkovnik, V., & Egiazarian, K. (2007). Image denoising by sparse 3D transform-domain collaborative filtering. IEEE Transactions on Image Processing, 16(8).","DOI":"10.1109\/TIP.2007.901238"},{"key":"96_CR24","unstructured":"De Bonet, J. S. (1997).Noise reduction through detection of signal redundancy. In Rethinking artificial intelligence. MIT AI Lab."},{"key":"96_CR25","doi-asserted-by":"crossref","first-page":"425","DOI":"10.1093\/biomet\/81.3.425","volume":"81","author":"D. L. Donoho","year":"1994","unstructured":"Donoho, D. L., & Johnston, I. M. (1994). Ideal spatial adaptation via wavelet shrinkage. Biometrika, 81, 425\u2013455.","journal-title":"Biometrika"},{"key":"96_CR26","doi-asserted-by":"crossref","first-page":"613","DOI":"10.1109\/18.382009","volume":"41","author":"D. L. Donoho","year":"1995","unstructured":"Donoho, D. L., & Johnston, I. M. (1995). Denoising by soft-thresholding. IEEE Transactions on Information Theory, 41, 613\u2013627.","journal-title":"IEEE Transactions on Information Theory"},{"key":"96_CR27","doi-asserted-by":"crossref","unstructured":"Efros, A., & Leung, T. (1999) Texture synthesis by non-parametric sampling. In Proceedings of the international conference on computer vision (ICCV\u201999) (pp.\u00a01033\u20131038), Kerkyra, Greece.","DOI":"10.1109\/ICCV.1999.790383"},{"issue":"10","key":"96_CR28","doi-asserted-by":"crossref","first-page":"1141","DOI":"10.1109\/TIP.2002.801126","volume":"11","author":"M. Elad","year":"2002","unstructured":"Elad, M. (2002). On the bilateral filter and ways to improve it. IEEE Transactions on Image Processing, 11(10), 1141\u20131151.","journal-title":"IEEE Transactions on Image Processing"},{"key":"96_CR29","doi-asserted-by":"crossref","unstructured":"Elad, M., Aharon, M. (2006) Image denoising via learned dictionaries and sparse representation. In Proceedings of the conference on computer vision and pattern recognition (CVPR\u201906) (Vol.\u00a01, pp.\u00a0895\u2013900), New York.","DOI":"10.1109\/CVPR.2006.142"},{"issue":"1","key":"96_CR30","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1109\/34.745732","volume":"21","author":"B. Fischl","year":"1999","unstructured":"Fischl, B., & Schwartz, E. L. (1999). Adaptive nonlocal filtering: a fast alternative to anisotropic diffusion for image enhancement. IEEE Transactions on Pattern Analysis and Machine Intelligence, 21(1), 42\u201348.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"96_CR31","doi-asserted-by":"crossref","unstructured":"Fitzgibbon, A., Wexler, Y., & Zisserman, A. (2003). Image-based rendering using image-based priors. In Proceedings of the international conference on computer vision (ICCV\u201903), Nice, France.","DOI":"10.1109\/ICCV.2003.1238625"},{"issue":"1","key":"96_CR32","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1023\/A:1026501619075","volume":"40","author":"W. T. Freeman","year":"2000","unstructured":"Freeman, W. T., Pasztor, E. C., & Carmichael, O. T. (2000). Learning low-level vision. International Journal of Computer Vision, 40(1), 25\u201347.","journal-title":"International Journal of Computer Vision"},{"key":"96_CR33","doi-asserted-by":"crossref","first-page":"625","DOI":"10.1093\/biomet\/73.3.625","volume":"73","author":"T. Gasser","year":"1986","unstructured":"Gasser, T., Sroka, L., & Jennen Steinmetz, C. (1986). Residual variance and residual pattern in nonlinear regression. Biometrika, 73, 625\u2013633.","journal-title":"Biometrika"},{"issue":"6","key":"96_CR34","doi-asserted-by":"crossref","first-page":"721","DOI":"10.1109\/TPAMI.1984.4767596","volume":"6","author":"D. Geman","year":"1984","unstructured":"Geman, D., & Geman, D. (1984). Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images. IEEE Transactions on Pattern Analysis and Machine Intelligence, 6(6), 721\u2013741.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"7","key":"96_CR35","doi-asserted-by":"crossref","first-page":"609","DOI":"10.1109\/34.56204","volume":"12","author":"D. Geman","year":"1990","unstructured":"Geman, D., Geman, S., Graffigne, C., & Dong, P. (1990). Boundary detection by constrained optimization. IEEE Transactions on Pattern Analysis and Machine Intelligence, 12(7), 609\u2013628.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"12","key":"96_CR36","doi-asserted-by":"crossref","first-page":"1560","DOI":"10.1109\/TIP.2003.818038","volume":"12","author":"M. Ghazel","year":"2003","unstructured":"Ghazel, M., Freeman, G. H., & Vrscay, E. R. (2003). Fractal image denoising. IEEE Transactions on Image Processing, 12(12), 1560\u20131578.","journal-title":"IEEE Transactions on Image Processing"},{"issue":"7","key":"96_CR37","doi-asserted-by":"crossref","first-page":"1075","DOI":"10.1109\/TPAMI.2006.140","volume":"28","author":"I. Gijbels","year":"2006","unstructured":"Gijbels, I., Lambert, A., & Qiu, P. (2006). Edge-preserving image denoising and estimation of discontinuous surfaces. IEEE Transactions on Pattern Analysis and Machine Intelligence, 28(7), 1075\u20131087.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"96_CR38","doi-asserted-by":"crossref","first-page":"595","DOI":"10.1137\/060669358","volume":"6","author":"G. Gilboa","year":"2007","unstructured":"Gilboa, G., & Osher, S. (2007). Nonlocal linear image regularization and supervised segmentation. SIAM Journal on Multiscale Modelling and Simulation, 6, 595\u2013630.","journal-title":"SIAM Journal on Multiscale Modelling and Simulation"},{"key":"96_CR39","unstructured":"Gilboa, G., Zeevi, Y. Y., & Sochen, N. (2003). Texture preserving variational denoising using an adaptive fidelity term. In Proceedings VLSM\u201903, Nice, France."},{"key":"96_CR40","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1080\/10485259708832713","volume":"8","author":"F. Godtliebsen","year":"1997","unstructured":"Godtliebsen, F., Spjotvoll, E., & Marron, J. S. (1997). A\u00a0nonlinear Gaussian filter applied to images with discontinuities. Journal of Nonparametric Statistics, 8, 21\u201343.","journal-title":"Journal of Nonparametric Statistics"},{"issue":"2","key":"96_CR41","first-page":"135","volume":"6","author":"A. Goldenshluger","year":"1997","unstructured":"Goldenshluger, A., & Nemirovsky, A. (1997). On spatial adaptive estimation of nonparametric regression. Mathematical Methods of Statistics, 6(2), 135\u2013170.","journal-title":"Mathematical Methods of Statistics"},{"key":"96_CR42","doi-asserted-by":"crossref","unstructured":"Gomez, G., Marroquin, J. L., & Sucar, L. E. (2000). Probabilistic estimation of local scale. In Proceedings of the international conference on pattern recognition (ICPR\u201900) (Vol. 3, pp. 798\u2013801), Barcelona, Spain.","DOI":"10.1109\/ICPR.2000.903663"},{"key":"96_CR43","doi-asserted-by":"crossref","first-page":"2295","DOI":"10.1016\/S1573-4412(05)80007-8","volume-title":"Handbook of econometrics","author":"W. Hardle","year":"1994","unstructured":"Hardle, W., & Linton, O. (1994). Applied nonparametric methods. In R.F. Engle & D.L. McFadden (Eds.), Handbook of econometrics (Vol.\u00a0IV, pp.\u00a02295\u20132381). North Holland: Amsterdam."},{"key":"96_CR44","doi-asserted-by":"crossref","unstructured":"Jojic, N., Frey, B., & Kannan, A. (2003). Epitomic analysis of appearance and shape. In Proceedings of the international conference on computer vision (ICCV\u201903) (Vol.\u00a01, pp.\u00a034\u201341), Nice, France.","DOI":"10.1109\/ICCV.2003.1238311"},{"key":"96_CR45","first-page":"1","volume":"1","author":"A. Juditsky","year":"1997","unstructured":"Juditsky, A. (1997). Wavelet estimators: adapting to unknown smoothness. Mathematical Methods of Statistics, 1, 1\u201320.","journal-title":"Mathematical Methods of Statistics"},{"issue":"3","key":"96_CR46","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1023\/A:1020329726980","volume":"16","author":"V. Katkovnik","year":"2002","unstructured":"Katkovnik, V., Egiazarian, K., & Astola, J. (2002). Adaptive window size image denoising based on intersection of confidence intervals (ICI) rule. Journal of Mathematical Imaging and Vision, 16(3), 223\u2013235.","journal-title":"Journal of Mathematical Imaging and Vision"},{"key":"96_CR47","doi-asserted-by":"crossref","unstructured":"Kervrann, C. (2004). An adaptive window approach for image smoothing and structures preserving. In Proceedings of the European conference on computer vision (ECCV\u201904) (Vol.\u00a03, pp.\u00a0132\u2013144), Prague, Czech Republic.","DOI":"10.1007\/978-3-540-24672-5_11"},{"key":"96_CR48","unstructured":"Kervrann, C., & Boulanger, J. (2005). Local adaptivity to variable smoothness for exemplar-based image denoising and representation. INRIA Research Report, RR-5624, July 2005."},{"key":"96_CR49","doi-asserted-by":"crossref","unstructured":"Kervrann, C., & Boulanger, J. (2006). Unsupervised patch-based image regularization and representation. In Proceedings of the European conference on computer vision (ECCV\u201906) (Vol.\u00a04, pp.\u00a0555\u2013567), Graz, Austria.","DOI":"10.1007\/11744085_43"},{"issue":"6","key":"96_CR50","doi-asserted-by":"crossref","first-page":"856","DOI":"10.1109\/83.388090","volume":"4","author":"C. Kervrann","year":"1995","unstructured":"Kervrann, C., & Heitz, F. (1995). A Markov random field model-based approach to unsupervised texture segmentation using local and global spatial statistics. IEEE Transactions on Image Processing, 4(6), 856\u2013862.","journal-title":"IEEE Transactions on Image Processing"},{"key":"96_CR51","doi-asserted-by":"crossref","unstructured":"Kervrann, C., Boulanger, J., & Coup\u00e9, P. (2007). Bayesian non-local means filter, image redundancy and adaptive dictionaries for noise removal. In Proceedings of the conference on scale-space and variational methods (SSVM\u2019 07), Ischia, Italy.","DOI":"10.1007\/978-3-540-72823-8_45"},{"key":"96_CR52","doi-asserted-by":"crossref","first-page":"1091","DOI":"10.1137\/050622249","volume":"4","author":"S. Kinderman","year":"2005","unstructured":"Kinderman, S., Osher, S., & Jones, P. W. (2005). Deblurring and denoising of images by nonlocal functionals. Multiscale Modeling and Simulation, 4, 1091\u20131115.","journal-title":"Multiscale Modeling and Simulation"},{"key":"96_CR53","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1016\/0734-189X(83)90047-6","volume":"24","author":"J. S. Lee","year":"1983","unstructured":"Lee, J. S. (1983). Digital image smoothing and the sigma filter. Computer Vision, Graphics, and Image Processing, 24, 255\u2013269.","journal-title":"Computer Vision, Graphics, and Image Processing"},{"issue":"4","key":"96_CR54","doi-asserted-by":"crossref","first-page":"423","DOI":"10.1109\/TIP.2005.843753","volume":"14","author":"E. Le Pennec","year":"2005","unstructured":"Le Pennec, E., & Mallat, S. (2005). Sparse geometric image representation with bandelets. IEEE Transactions on Image Processing, 14(4), 423\u2013438.","journal-title":"IEEE Transactions on Image Processing"},{"key":"96_CR55","doi-asserted-by":"crossref","first-page":"454","DOI":"10.1137\/1135065","volume":"35","author":"O. Lepskii","year":"1990","unstructured":"Lepskii, O. (1990). On a problem of adaptive estimation on white Gaussian noise. Theory of Probability and Its Applications, 35, 454\u2013466.","journal-title":"Theory of Probability and Its Applications"},{"issue":"4","key":"96_CR56","first-page":"654","volume":"36","author":"O. Lepskii","year":"1991","unstructured":"Lepskii, O. (1991). Asymptotically minimax adaptive estimation, 1: uppers bounds. Theory of Probability and Its Applications, 36(4), 654\u2013659.","journal-title":"Theory of Probability and Its Applications"},{"issue":"3","key":"96_CR57","doi-asserted-by":"crossref","first-page":"929","DOI":"10.1214\/aos\/1069362731","volume":"25","author":"O. V. Lepski","year":"1997","unstructured":"Lepski, O. V., Mammen, E., & Spokoiny, V. G. (1997). Optimal spatial adaptation to inhomogeneous smoothness: an approach based on kernel estimates with variable bandwidth selectors. Annals of Statistics, 25(3), 929\u2013947.","journal-title":"Annals of Statistics"},{"issue":"2","key":"96_CR58","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1023\/A:1008097225773","volume":"30","author":"T. Lindeberg","year":"1998","unstructured":"Lindeberg, T. (1998). Edge detection and ridge detection with automatic scale selection. International Journal of Computer Vision, 30(2), 117\u2013154.","journal-title":"International Journal of Computer Vision"},{"key":"96_CR59","doi-asserted-by":"crossref","unstructured":"Maurizot, M., Bouthemy, P., Delyon, B., Juditski, A., & Odobez, J.-M. (1995). Determination of singular points in 2D deformable flow fields. In IEEE proceedings of the international conference on image processing (ICIP\u201995) (Vol.\u00a03, pp.\u00a0488\u2013491), Washington, DC.","DOI":"10.1109\/ICIP.1995.537678"},{"key":"96_CR60","volume-title":"University lecture series: vol.\u00a022. Oscillating patterns in image processing and nonlinear evolution equations","author":"Y. Meyer","year":"2002","unstructured":"Meyer, Y. (2002). University lecture series: vol.\u00a022. Oscillating patterns in image processing and nonlinear evolution equations. Providence: AMS."},{"key":"96_CR61","doi-asserted-by":"crossref","unstructured":"Mairal, J., Sapiro, G., & Elad, M. (2007). Multiscale sparse image representation with learned dictionaries. In Proceedings of the international conference on image processing (ICIP\u201907), San Antonio, TX, USA.","DOI":"10.1109\/ICIP.2007.4379257"},{"issue":"2\/3","key":"96_CR62","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1023\/A:1022908225256","volume":"52","author":"P. Mrazek","year":"2003","unstructured":"Mrazek, P. (2003). Selection of optimal stopping time for nonlinear diffusion filtering. International Journal of Computer Vision, 52(2\/3), 189\u2013203.","journal-title":"International Journal of Computer Vision"},{"key":"96_CR63","unstructured":"Mrazek, P., Weickert, J., & Bruhn, A. On robust estimation and smoothing with spatial and tonal kernels. Preprint No.\u00a051, University of Bremen, Germany."},{"issue":"5","key":"96_CR64","doi-asserted-by":"crossref","first-page":"577","DOI":"10.1002\/cpa.3160420503","volume":"42","author":"D. Mumford","year":"1989","unstructured":"Mumford, D., & Shah, J. (1989). Optimal approximations by piecewise smooth functions and variational problems. Communications on Pure and Applied Mathematics, 42(5), 577\u2013685.","journal-title":"Communications on Pure and Applied Mathematics"},{"issue":"8","key":"96_CR65","doi-asserted-by":"crossref","first-page":"826","DOI":"10.1109\/34.149593","volume":"14","author":"M. Nitzberg","year":"1992","unstructured":"Nitzberg, M., & Shiota, T. (1992). Nonlinear image filtering with edge and corner enhancement. IEEE Transactions on Pattern Analysis and Machine Intelligence, 14(8), 826\u2013833.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"3","key":"96_CR66","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1137\/S1540345902416247","volume":"1","author":"S. Osher","year":"2003","unstructured":"Osher, S., Sol\u00e9, A., & Vese, L. (2003). Image decomposition and restoration using total variation minimization and the H \u22121 norm. Multiscale Modeling and Simulation, 1(3), 349\u2013370.","journal-title":"Multiscale Modeling and Simulation"},{"issue":"7","key":"96_CR67","doi-asserted-by":"crossref","first-page":"629","DOI":"10.1109\/34.56205","volume":"12","author":"P. Perona","year":"1990","unstructured":"Perona, P., & Malik, J. (1990). Scale space and edge detection using anisotropic diffusion. IEEE Transactions on Pattern Analysis and Machine Intelligence, 12(7), 629\u2013639.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"3","key":"96_CR68","doi-asserted-by":"crossref","first-page":"654","DOI":"10.1109\/TIP.2005.863698","volume":"15","author":"A. Pizurica","year":"2006","unstructured":"Pizurica, A., & Philips, W. (2006). Estimating probability of presence of a signal of interest in multiresolution single and multiband image denoising. IEEE Transactions on Image Processing, 15(3), 654\u2013665.","journal-title":"IEEE Transactions on Image Processing"},{"issue":"2","key":"96_CR69","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1111\/1467-9868.00235","volume":"62","author":"J. Polzehl","year":"2000","unstructured":"Polzehl, J., & Spokoiny, V. (2000). Adaptive weights smoothing with application to image restoration. Journal of the Royal Statistical Society, Series B, 62(2), 335\u2013354.","journal-title":"Journal of the Royal Statistical Society, Series B"},{"issue":"11","key":"96_CR70","doi-asserted-by":"crossref","first-page":"1338","DOI":"10.1109\/TIP.2003.818640","volume":"12","author":"J. Portilla","year":"2003","unstructured":"Portilla, J., Strela, V., Wainwright, M., & Simoncelli, E. (2003). Image denoising using scale mixtures of Gaussians in the wavelet domain. IEEE Transactions on Image Processing, 12(11), 1338\u20131351.","journal-title":"IEEE Transactions on Image Processing"},{"key":"96_CR71","doi-asserted-by":"crossref","unstructured":"Roth, S., & Black, M. J. (2005). Fields of experts: a framework for learning image priors with applications. In Proceedings of the conference on computer vision and pattern recognition (CVPR\u201905) (Vol.\u00a02, pp.\u00a0860\u2013867), San Diego, CA.","DOI":"10.1109\/CVPR.2005.160"},{"key":"96_CR72","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., & Fatemi, E. (1992). Nonlinear total variation based noise removal algorithms. Physica D, 60, 259\u2013268.","journal-title":"Physica D"},{"issue":"6","key":"96_CR73","doi-asserted-by":"crossref","first-page":"514","DOI":"10.1109\/34.87339","volume":"13","author":"P. Saint-Marc","year":"1991","unstructured":"Saint-Marc, P., Chen, J. S., & M\u00e9dioni, G. (1991). Adaptive smoothing: a general tool for early vision. IEEE Transactions on Pattern Analysis and Machine Intelligence, 13(6), 514\u2013529.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"96_CR74","doi-asserted-by":"crossref","DOI":"10.1002\/9780470316849","volume-title":"Multivariate density estimation","author":"D. W. Scott","year":"1992","unstructured":"Scott, D. W. (1992). Multivariate density estimation. New York: Wiley."},{"key":"96_CR75","doi-asserted-by":"crossref","unstructured":"Singh, M., & Ahuja, N. Regression based bandwidth selection for segmentation using Parzen windows. In Proceedings of the international conference on computer vision (ICCV\u201903) (Vol. 1, pp. 2\u20139), Nice, France.","DOI":"10.1109\/ICCV.2003.1238307"},{"issue":"1","key":"96_CR76","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1023\/A:1007963824710","volume":"23","author":"S. M. Smith","year":"1997","unstructured":"Smith, S. M., & Brady, M. (1997). SUSAN\u2014a new approach to low-level image processing. International Journal of Computer Vision, 23(1), 45\u201378.","journal-title":"International Journal of Computer Vision"},{"issue":"4","key":"96_CR77","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1214\/aos\/1024691246","volume":"26","author":"V. G. Spokoiny","year":"1998","unstructured":"Spokoiny, V. G. (1998). Estimation of a function with discontinuities via local polynomial fit with an adaptive window choice. Annals of Statistics, 26(4), 141\u2013170.","journal-title":"Annals of Statistics"},{"issue":"5","key":"96_CR78","doi-asserted-by":"crossref","first-page":"1228","DOI":"10.1109\/TSP.2004.826179","volume":"52","author":"L. Stankovic","year":"2004","unstructured":"Stankovic, L. (2004). Performance analysis of the adaptive algorithm for bias-to-variance trade-off. IEEE Transactions on Signal Processing, 52(5), 1228\u20131234.","journal-title":"IEEE Transactions on Signal Processing"},{"issue":"3","key":"96_CR79","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1023\/A:1011277827470","volume":"14","author":"N. Sochen","year":"2001","unstructured":"Sochen, N., Kimmel, R., & Bruckstein, A. M. (2001). Diffusions and confusions in signal and image processing. Journal of Mathematical Imaging and Vision, 14(3), 237\u2013244.","journal-title":"Journal of Mathematical Imaging and Vision"},{"key":"96_CR80","doi-asserted-by":"crossref","unstructured":"Spira, A., Kimmel, R., & Sochen, N. (2003). Efficient Beltrami flow using a short-time kernel. In Proceedings of the international conference on scale-space theories in computer vision (Scale-Space\u201903) (pp.\u00a0551\u2013522), Isle of Skye, Scotland.","DOI":"10.1007\/3-540-44935-3_35"},{"issue":"6","key":"96_CR81","doi-asserted-by":"crossref","first-page":"670","DOI":"10.1109\/TIP.2002.1014998","volume":"11","author":"J. L. Starck","year":"2002","unstructured":"Starck, J. L., Candes, E., & Donoho, D. L. (2002). The curvelet transform for image denoising. IEEE Transactions on Image Processing, 11(6), 670\u2013684.","journal-title":"IEEE Transactions on Image Processing"},{"issue":"11","key":"96_CR82","doi-asserted-by":"crossref","first-page":"1379","DOI":"10.1109\/TMI.2003.819276","volume":"22","author":"C. V. Stewart","year":"2003","unstructured":"Stewart, C. V., Tsai, C.-L., & Roysam, B. (2003). The dual-bootstrap iterative closest point algorithm with application to retinal image registration. IEEE Transactions on Medical Imaging, 22(11), 1379\u20131394.","journal-title":"IEEE Transactions on Medical Imaging"},{"key":"96_CR83","doi-asserted-by":"crossref","unstructured":"Tomasi, C., & Manduchi, R. (1998). Bilateral filtering for gray and color images. In Proceedings of the international confernce on computer vision (ICCV\u201998) (pp.\u00a0839\u2013846), Bombay, India.","DOI":"10.1109\/ICCV.1998.710815"},{"key":"96_CR84","doi-asserted-by":"crossref","unstructured":"Tschumperl\u00e9, D. (2006). Curvature-preserving regularization of multi-valued images using PDE\u2019s. In Proceedings of the European confernce on computer vision (ECCV\u201906) (Vol.\u00a02, pp.\u00a0295\u2013307), Graz, Austria.","DOI":"10.1007\/11744047_23"},{"key":"96_CR85","doi-asserted-by":"crossref","unstructured":"van de Weijer, J., & van den Boomgaard, R. (2001). Local mode filtering. In Proceedings of the confernce on computer vision and pattern recognition (CVPR\u201901) (Vol.\u00a0II, pp.\u00a0428\u2013433), Kauai, HI.","DOI":"10.1109\/CVPR.2001.990993"},{"key":"96_CR86","doi-asserted-by":"crossref","unstructured":"van den Boomgaard, R., & van de Weijer, J. (2002). On the equivalence of local-mode finding, robust estimation and mean-shift analysis as used in early vision tasks. In Proceedings of the international confernce on pattern recognition (ICPR\u201902) (Vol.\u00a0III, pp.\u00a0927\u2013930), Quebec City, Canada.","DOI":"10.1109\/ICPR.2002.1048187"},{"issue":"0","key":"96_CR87","doi-asserted-by":"crossref","first-page":"4","DOI":"10.1109\/97.654865","volume":"5","author":"Z. Wang","year":"1998","unstructured":"Wang, Z., & Zhang, D. (1998). Restoration of impulse noise corrupted images using long-range correlation. IEEE Signal Processing Letters, 5(0), 4\u20136.","journal-title":"IEEE Signal Processing Letters"},{"key":"96_CR88","volume-title":"Anisotropic diffusion in image processing","author":"J. Weickert","year":"1998","unstructured":"Weickert, J. (1998). Anisotropic diffusion in image processing. Stuttgart: Teubner."},{"issue":"2\u20133","key":"96_CR89","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1023\/A:1008009714131","volume":"31","author":"J. Weickert","year":"1999","unstructured":"Weickert, J. (1999). Coherence-enhancing diffusion filtering. International Journal of Computer Vision, 31(2\u20133), 111\u2013127.","journal-title":"International Journal of Computer Vision"},{"key":"96_CR90","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1016\/0262-8856(95)01047-5","volume":"14","author":"G. Z. Yang","year":"1996","unstructured":"Yang, G. Z., Burger, P., Firmin, D. N., & Underwood, S. R. (1996). Structure adaptive anisotropic image filtering. Image and Vision Computing, 14, 135\u2013145.","journal-title":"Image and Vision Computing"},{"key":"96_CR91","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-0845-7","volume-title":"Fundamentals of digital optics","author":"L. P. Yaroslavsky","year":"1996","unstructured":"Yaroslavsky, L. P., & Eden, M. (1996). Fundamentals of digital optics. Boston: Birkh\u00e4user."},{"key":"96_CR92","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1109\/TCSVT.2002.1003472","volume":"12","author":"D. Zhang","year":"2002","unstructured":"Zhang, D., & Wang, Z. (2002). Image information restoration based on long-range correlation. IEEE Transactions on Circuits and Systems for Video Technology, 12, 331\u2013341.","journal-title":"IEEE Transactions on Circuits and Systems for Video Technology"},{"issue":"2","key":"96_CR93","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., & Mumford, D. (1998). Filters, random fields and maximum entropy (FRAME): towards a unified theory for texture modeling. International Journal of Computer Vision, 27(2), 107\u2013126.","journal-title":"International Journal of Computer Vision"}],"container-title":["International Journal of Computer Vision"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11263-007-0096-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11263-007-0096-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11263-007-0096-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,22]],"date-time":"2025-01-22T13:29:00Z","timestamp":1737552540000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11263-007-0096-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,11,17]]},"references-count":93,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2008,8]]}},"alternative-id":["96"],"URL":"https:\/\/doi.org\/10.1007\/s11263-007-0096-2","relation":{},"ISSN":["0920-5691","1573-1405"],"issn-type":[{"value":"0920-5691","type":"print"},{"value":"1573-1405","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,11,17]]}}}