{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,24]],"date-time":"2025-07-24T11:46:29Z","timestamp":1753357589994,"version":"3.40.4"},"reference-count":40,"publisher":"Institute of Electronics, Information and Communications Engineers (IEICE)","issue":"10","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEICE Trans. Inf. & Syst."],"published-print":{"date-parts":[[2014]]},"DOI":"10.1587\/transinf.2014edp7070","type":"journal-article","created":{"date-parts":[[2014,10,1]],"date-time":"2014-10-01T01:02:15Z","timestamp":1412125335000},"page":"2748-2759","source":"Crossref","is-referenced-by-count":3,"title":["Multigrid Bilateral Filtering"],"prefix":"10.1587","volume":"E97.D","author":[{"given":"Qingyun","family":"SHE","sequence":"first","affiliation":[{"name":"Shenzhen Key Lab. of Information Sci & Tech\/Shenzhen Engineering Lab. of Information Security & DRM Department of Electronic Engineering\/Graduate School at Shenzhen, Tsinghua University"}]},{"given":"Zongqing","family":"LU","sequence":"additional","affiliation":[{"name":"Shenzhen Key Lab. of Information Sci & Tech\/Shenzhen Engineering Lab. of Information Security & DRM Department of Electronic Engineering\/Graduate School at Shenzhen, Tsinghua University"}]},{"given":"Weifeng","family":"LI","sequence":"additional","affiliation":[{"name":"Shenzhen Key Lab. of Information Sci & Tech\/Shenzhen Engineering Lab. of Information Security & DRM Department of Electronic Engineering\/Graduate School at Shenzhen, Tsinghua University"}]},{"given":"Qingmin","family":"LIAO","sequence":"additional","affiliation":[{"name":"Shenzhen Key Lab. of Information Sci & Tech\/Shenzhen Engineering Lab. of Information Security & DRM Department of Electronic Engineering\/Graduate School at Shenzhen, Tsinghua University"}]}],"member":"532","reference":[{"key":"1","unstructured":"[1] Z. Lin and Q. Shi, \u201cAn anisotropic diffusion pde for noise reduction and thin edge preservation,\u201d Image Analysis and Processing, 1999. Proceedings. International Conference on, pp.102-107, IEEE, 1999."},{"key":"2","doi-asserted-by":"crossref","unstructured":"[2] N. Sochen, R. Kimmel, and R. Malladi, \u201cA general framework for low level vision,\u201d IEEE Trans. Image Process., vol.7, no.3, pp.310-318, 1998.","DOI":"10.1109\/83.661181"},{"key":"3","unstructured":"[3] J. Weickert, Anisotropic diffusion in image processing, Teubner Stuttgart, 1998."},{"key":"4","doi-asserted-by":"crossref","unstructured":"[4] G. Sapiro and D.L. Ringach, \u201cAnisotropic diffusion of color images,\u201d Electronic Imaging: Science & Technology, pp.471-482, International Society for Optics and Photonics, 1996.","DOI":"10.1117\/12.238745"},{"key":"5","doi-asserted-by":"crossref","unstructured":"[5] P. Perona and J. Malik, \u201cScale-space and edge detection using anisotropic diffusion,\u201d IEEE Trans. Pattern Anal. Mach. Intell., vol.12, no.7, pp.629-639, 1990.","DOI":"10.1109\/34.56205"},{"key":"6","doi-asserted-by":"crossref","unstructured":"[6] M.J. Black and G. Sapiro, \u201cEdges as outliers: Anisotropic smoothing using local image statistics,\u201d in Scale-Space Theories in Computer Vision, pp.259-270, Springer, 1999.","DOI":"10.1007\/3-540-48236-9_23"},{"key":"7","doi-asserted-by":"crossref","unstructured":"[7] R.L. Lagendijk, J. Biemond, and D.E. Boekee, \u201cRegularized iterative image restoration with ringing reduction,\u201d IEEE Trans. Acoust., Speech Signal Process., vol.36, no.12, pp.1874-1888, 1988.","DOI":"10.1109\/29.9032"},{"key":"8","unstructured":"[8] M.E. Zervakis, Nonlinear image restoration techniques, 1990."},{"key":"9","doi-asserted-by":"crossref","unstructured":"[9] C. Tomasi and R. Manduchi, \u201cBilateral filtering for gray and color images,\u201d Sixth International Conference on Computer Vision, 1998, pp.839-846, 1998.","DOI":"10.1109\/ICCV.1998.710815"},{"key":"10","doi-asserted-by":"crossref","unstructured":"[10] C. Liu, W.T. Freeman, R. Szeliski, and S.B. Kang, \u201cNoise estimation from a single image,\u201d 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, pp.901-908, 2006.","DOI":"10.1109\/CVPR.2006.207"},{"key":"11","unstructured":"[11] B.M. Oh, M. Chen, J. Dorsey, and F. Durand, \u201cImage-based modeling and photo editing,\u201d Proc. 28th Annual Conference on Computer Graphics and Interactive Techniques, pp.433-442, 2001."},{"key":"12","doi-asserted-by":"crossref","unstructured":"[12] F. Durand and J. Dorsey, \u201cFast bilateral filtering for the display of high-dynamic-range images,\u201d ACM Trans. Graphics, vol.21, no.3, pp.257-266, 2002.","DOI":"10.1145\/566654.566574"},{"key":"13","doi-asserted-by":"crossref","unstructured":"[13] M. Elad, \u201cRetinex by two bilateral filters,\u201d in Scale Space and PDE Methods in Computer Vision, pp.217-229, Springer, 2005.","DOI":"10.1007\/11408031_19"},{"key":"14","doi-asserted-by":"crossref","unstructured":"[14] E. Eisemann and F. Durand, \u201cFlash photography enhancement via intrinsic relighting,\u201d ACM Trans. Graphics, pp.673-678, 2004.","DOI":"10.1145\/1015706.1015778"},{"key":"15","doi-asserted-by":"crossref","unstructured":"[15] G. Petschnigg, R. Szeliski, M. Agrawala, M. Cohen, H. Hoppe, and K. Toyama, \u201cDigital photography with flash and no-flash image pairs,\u201d ACM Trans. Graphics, pp.664-672, 2004.","DOI":"10.1145\/1015706.1015777"},{"key":"16","doi-asserted-by":"crossref","unstructured":"[16] S. Bae, S. Paris, and F. Durand, \u201cTwo-scale tone management for photographic look,\u201d ACM Trans. Graphics, pp.637-645, 2006.","DOI":"10.1145\/1141911.1141935"},{"key":"17","doi-asserted-by":"crossref","unstructured":"[17] T.R. Jones, F. Durand, and M. Desbrun, \u201cNon-iterative, feature-preserving mesh smoothing,\u201d ACM Trans. Graphics, pp.943-949, 2003.","DOI":"10.1145\/882262.882367"},{"key":"18","doi-asserted-by":"crossref","unstructured":"[18] S. Fleishman, I. Drori, and D. Cohen-Or, \u201cBilateral mesh denoising,\u201d ACM Trans. Graphics, pp.950-953, 2003.","DOI":"10.1145\/882262.882368"},{"key":"19","doi-asserted-by":"crossref","unstructured":"[19] W.C. Wong, A.C. Chung, and S.C. Yu, \u201cTrilateral filtering for biomedical images,\u201d IEEE International Symposium on Biomedical Imaging: Nano to Macro, 2004. pp.820-823, 2004.","DOI":"10.1109\/ISBI.2004.1398664"},{"key":"20","doi-asserted-by":"crossref","unstructured":"[20] E.P. Bennett and L. McMillan, \u201cVideo enhancement using per-pixel virtual exposures,\u201d ACM Trans. Graphics, pp.845-852, 2005.","DOI":"10.1145\/1073204.1073272"},{"key":"21","unstructured":"[21] H. Winnem\u00f6ller, S.C. Olsen, and B. Gooch, \u201cReal-time video abstraction,\u201d ACM Trans. Graphics, pp.1221-1226, 2006."},{"key":"22","doi-asserted-by":"crossref","unstructured":"[22] S. Paris and F. Durand, \u201cA fast approximation of the bilateral filter using a signal processing approach,\u201d Computer Vision-ECCV 2006, pp.568-580, 2006.","DOI":"10.1007\/11744085_44"},{"key":"23","doi-asserted-by":"crossref","unstructured":"[23] M. Zhang and B.K. Gunturk, \u201cMultiresolution bilateral filtering for image denoising,\u201d IEEE Trans. Image Process., vol.17, no.12, pp.2324-2333, 2008.","DOI":"10.1109\/TIP.2008.2006658"},{"key":"24","doi-asserted-by":"crossref","unstructured":"[24] B. Weiss, \u201cFast median and bilateral filtering,\u201d ACM Trans. Graphics, pp.519-526, 2006.","DOI":"10.1145\/1141911.1141918"},{"key":"25","doi-asserted-by":"crossref","unstructured":"[25] F. Porikli, \u201cConstant time o (1) bilateral filtering,\u201d IEEE Conference on Computer Vision and Pattern Recognition, 2008. CVPR 2008. pp.1-8, 2008.","DOI":"10.1109\/CVPR.2008.4587843"},{"key":"26","doi-asserted-by":"crossref","unstructured":"[26] M. Elad, \u201cOn the origin of the bilateral filter and ways to improve it,\u201d IEEE Trans. Image Process., vol.11, no.10, pp.1141-1151, 2002.","DOI":"10.1109\/TIP.2002.801126"},{"key":"27","unstructured":"[27] T.Q. Pham and L.J. Van Vliet, \u201cSeparable bilateral filtering for fast video preprocessing,\u201d IEEE International Conference on Multimedia and Expo, 2005, ICME 2005, pp.1-4, 2005."},{"key":"28","doi-asserted-by":"crossref","unstructured":"[28] Q. Yang, K.H. Tan, and N. Ahuja, \u201cReal-time o (1) bilateral filtering,\u201d IEEE Conference on Computer Vision and Pattern Recognition, 2009, CVPR 2009, pp.557-564, 2009.","DOI":"10.1109\/CVPR.2009.5206542"},{"key":"29","doi-asserted-by":"crossref","unstructured":"[29] R. Fattal, M. Agrawala, and S. Rusinkiewicz, \u201cMultiscale shape and detail enhancement from multi-light image collections,\u201d ACM Trans. Graphics, vol.26, no.3, p.51, 2007.","DOI":"10.1145\/1276377.1276441"},{"key":"30","unstructured":"[30] Z. Lu, \u201cMultigrid bilateral filter,\u201d World Academy of Science, Engineering and Technology, vol.55, pp.946-951, 2011."},{"key":"31","unstructured":"[31] D. Adalsteinsson, A fast level set method for propagating interfaces, Ph.D. thesis, Citeseer, 1994."},{"key":"32","doi-asserted-by":"crossref","unstructured":"[32] S.M. Smith and J.M. Brady, \u201cSusana new approach to low level image processing,\u201d International Journal of Computer Vision, vol.23, no.1, pp.45-78, 1997.","DOI":"10.1023\/A:1007963824710"},{"key":"33","doi-asserted-by":"crossref","unstructured":"[33] D. Barash, \u201cFundamental relationship between bilateral filtering, adaptive smoothing, and the nonlinear diffusion equation,\u201d IEEE Trans. Pattern Anal. Mach. Intell., vol.24, no.6, pp.844-847, 2002.","DOI":"10.1109\/TPAMI.2002.1008390"},{"key":"34","unstructured":"[34] Q. Yang, \u201cHardware-efficient bilateral filtering for stereo matching,\u201d 2013."},{"key":"35","unstructured":"[35] J.H. Bramble, Multigrid methods, CRC Press, 1993."},{"key":"36","unstructured":"[36] P. Wesseling, \u201cIntroduction to multigrid methods.,\u201d tech. rep., DTIC Document, 1995."},{"key":"37","doi-asserted-by":"crossref","unstructured":"[37] P. Saint-Marc, J.S. Chen, and G. Medioni, \u201cAdaptive smoothing: A general tool for early vision,\u201d IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 1989, Proc. CVPR'89., pp.618-624, 1989.","DOI":"10.1109\/CVPR.1989.37910"},{"key":"38","unstructured":"[38] W.L. Briggs, S.F. McCormick, and H. Henseon, A multigrid tutorial, SIAM, 2000."},{"key":"39","doi-asserted-by":"crossref","unstructured":"[39] V.E. Henson, \u201cMultigrid methods nonlinear problems: An overview,\u201d Electronic Imaging 2003, pp.36-48, International Society for Optics and Photonics, 2003.","DOI":"10.1117\/12.499473"},{"key":"40","doi-asserted-by":"crossref","unstructured":"[40] E.S. Gastal and M.M. Oliveira, \u201cDomain transform for edge-aware image and video processing,\u201d ACM Trans. Graphics, p.69, 2011.","DOI":"10.1145\/1964921.1964964"}],"container-title":["IEICE Transactions on Information and Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.jstage.jst.go.jp\/article\/transinf\/E97.D\/10\/E97.D_2014EDP7070\/_pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,4]],"date-time":"2025-05-04T23:07:17Z","timestamp":1746400037000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.jstage.jst.go.jp\/article\/transinf\/E97.D\/10\/E97.D_2014EDP7070\/_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":40,"journal-issue":{"issue":"10","published-print":{"date-parts":[[2014]]}},"URL":"https:\/\/doi.org\/10.1587\/transinf.2014edp7070","relation":{},"ISSN":["0916-8532","1745-1361"],"issn-type":[{"type":"print","value":"0916-8532"},{"type":"electronic","value":"1745-1361"}],"subject":[],"published":{"date-parts":[[2014]]}}}