{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,5]],"date-time":"2025-11-05T18:45:11Z","timestamp":1762368311126,"version":"build-2065373602"},"reference-count":32,"publisher":"Tsinghua University Press","issue":"1","content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comp. Visual. Med."],"published-print":{"date-parts":[[2015,3]]},"DOI":"10.1007\/s41095-015-0004-6","type":"journal-article","created":{"date-parts":[[2015,8,7]],"date-time":"2015-08-07T07:54:49Z","timestamp":1438934089000},"page":"27-35","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":17,"title":["Least-squares images for edge-preserving smoothing"],"prefix":"10.26599","volume":"1","author":[{"given":"Hui","family":"Wang","sequence":"first","affiliation":[{"name":"School of Information Science and Technology, Shijiazhuang Tiedao University, Shijiazhuang 050043, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Junjie","family":"Cao","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiuping","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianmin","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Information Science and Technology, Shijiazhuang Tiedao University, Shijiazhuang 050043, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tongrang","family":"Fan","sequence":"additional","affiliation":[{"name":"School of Information Science and Technology, Shijiazhuang Tiedao University, Shijiazhuang 050043, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianping","family":"Hu","sequence":"additional","affiliation":[{"name":"School of Sciences, Northeast Dianli University, Jilin 132012, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"11138","reference":[{"issue":"7","key":"4_CR1","doi-asserted-by":"crossref","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 Transactions on Pattern Analysis and Machine Intelligence Vol. 12, No. 7, 629\u2013639, 1990.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"1\u20134","key":"4_CR2","doi-asserted-by":"crossref","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. Physica D: Nonlinear Phenomena Vol. 60, Nos. 1\u20134, 259\u2013268, 1992.","journal-title":"Physica D: Nonlinear Phenomena"},{"key":"4_CR3","first-page":"839","volume-title":"In: Sixth International Conference on Computer Vision","author":"C. Tomasi","year":"1998","unstructured":"Tomasi, C.; Manduchi, R. Bilateral filtering for gray and color images. In: Sixth International Conference on Computer Vision, 839\u2013846, 1998."},{"issue":"5","key":"4_CR4","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1109\/34.1000236","volume":"24","author":"D. Comaniciu","year":"2002","unstructured":"Comaniciu, D.; Meer, P. Mean shift: A robust approach toward feature space analysis. IEEE Transactions on Pattern Analysis and Machine Intelligence Vol. 24, No. 5, 603\u2013619, 2002.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"3","key":"4_CR5","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1145\/1360612.1360666","volume":"27","author":"Z. Farbman","year":"2008","unstructured":"Farbman, Z.; Fattal, R.; Lischinski, D.; Szeliski, R. Edge-preserving decompositions for multi-scale tone and detail manipulation. ACM Transactions on Graphics Vol. 27, No. 3, Article No. 67, 2008.","journal-title":"ACM Transactions on Graphics"},{"issue":"5","key":"4_CR6","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1145\/1618452.1618493","volume":"28","author":"K. Subr","year":"2009","unstructured":"Subr, K.; Soler, C.; Durand, F. Edge-preserving multiscale image decomposition based on local extrema. ACM Transactions on Graphics Vol. 28, No. 5, Article No. 147, 2009.","journal-title":"ACM Transactions on Graphics"},{"issue":"3","key":"4_CR7","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1145\/1531326.1531328","volume":"28","author":"R. Fattal","year":"2009","unstructured":"Fattal, R. Edge-avoiding wavelets and their applications. ACM Transactions on Graphics Vol. 28, No. 3, Article No. 22, 2009.","journal-title":"ACM Transactions on Graphics"},{"issue":"6","key":"4_CR8","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1145\/1882261.1866171","volume":"29","author":"Z. Farbman","year":"2010","unstructured":"Farbman, Z.; Fattal, R.; Lischinski, D. Diffusion maps for edge-aware image editing. ACM Transactions on Graphics Vol. 29, No. 6, Article No. 145, 2010.","journal-title":"ACM Transactions on Graphics"},{"issue":"6","key":"4_CR9","first-page":"174","volume":"30","author":"L. Xu","year":"2011","unstructured":"Xu, L.; Lu, C.; Xu, Y.; Jia, J. Image smoothing via L0 gradient minimization. ACM Transactions on Graphics Vol. 30, No. 6, Article No. 174, 2011.","journal-title":"ACM Transactions on Graphics"},{"issue":"4","key":"4_CR10","doi-asserted-by":"crossref","first-page":"68","DOI":"10.1145\/2010324.1964963","volume":"30","author":"S. Paris","year":"2011","unstructured":"Paris, S.; Hasinoff, S. W.; Kautz, J. Local Laplacian filters: Edge-aware image processing with a Laplacian pyramid. ACM Transactions on Graphics Vol. 30, No. 4, Article No. 68, 2011.","journal-title":"ACM Transactions on Graphics"},{"issue":"6","key":"4_CR11","doi-asserted-by":"crossref","first-page":"1397","DOI":"10.1109\/TPAMI.2012.213","volume":"35","author":"K. He","year":"2013","unstructured":"He, K.; Sun, J.; Tang, X. Guided image filtering. IEEE Transactions on Pattern Analysis and Machine Intelligence Vol. 35, No. 6, 1397\u20131409, 2013.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"4_CR12","doi-asserted-by":"crossref","first-page":"150","DOI":"10.1016\/j.cag.2013.10.025","volume":"38","author":"X. Cheng","year":"2014","unstructured":"Cheng, X.; Zeng, M.; Liu, X. Feature-preserving filtering with L0 gradient minimization. Computers & Graphics Vol. 38, 150\u2013157, 2014.","journal-title":"Computers & Graphics"},{"issue":"3","key":"4_CR13","doi-asserted-by":"crossref","first-page":"689","DOI":"10.1145\/1015706.1015780","volume":"23","author":"A. Levin","year":"2004","unstructured":"Levin, A.; Lischinski, D.; Weiss, Y. Colorization using optimization. ACM Transactions on Graphics Vol. 23, No. 3, 689\u2013694, 2004.","journal-title":"ACM Transactions on Graphics"},{"issue":"11","key":"4_CR14","doi-asserted-by":"crossref","first-page":"1768","DOI":"10.1109\/TPAMI.2006.233","volume":"28","author":"L. Grady","year":"2006","unstructured":"Grady, L. Random walks for image segmentation. IEEE Transactions on Pattern Analysis and Machine Intelligence Vol. 28, No. 11, 1768\u20131783, 2006.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"4_CR15","first-page":"191","volume-title":"In: Proceedings of the Shape Modeling International","author":"O. C.- Sorkine","year":"2004","unstructured":"Sorkine, O.; Cohen- Or, D. Least-squares meshes. In: Proceedings of the Shape Modeling International, 191\u2013199, 2004."},{"issue":"4","key":"4_CR16","doi-asserted-by":"crossref","first-page":"789","DOI":"10.1111\/j.1467-8659.2006.00999.x","volume":"25","author":"O. Sorkine","year":"2006","unstructured":"Sorkine, O. Differential representations for mesh processing. Computer Graphics Forum Vol. 25, No. 4, 789\u2013807, 2006.","journal-title":"Computer Graphics Forum"},{"issue":"2","key":"4_CR17","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1109\/TVCG.2005.33","volume":"11","author":"O. C.- Sorkine","year":"2005","unstructured":"Sorkine, O.; Cohen- Or, D.; Irony, D.; Toledo, S. Geometry-aware bases for shape approximation. IEEE Transactions on Visualization and Computer Graphics Vol. 11, No. 2, 171\u2013180, 2005.","journal-title":"IEEE Transactions on Visualization and Computer Graphics"},{"issue":"4","key":"4_CR18","doi-asserted-by":"crossref","first-page":"1259","DOI":"10.1145\/1095878.1095880","volume":"24","author":"D. C.- Chen","year":"2005","unstructured":"Chen, D.; Cohen- Or, D.; Sorkine, O.; Toledo, S. Algebraic analysis of high-pass quantization. ACM Transactions on Graphics Vol. 24, No. 4, 1259\u20131282, 2005.","journal-title":"ACM Transactions on Graphics"},{"issue":"3","key":"4_CR19","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1145\/1276377.1276506","volume":"26","author":"J. Chen","year":"2007","unstructured":"Chen, J.; Paris, S.; Durand, F. Real-time edge-aware image processing with the bilateral grid. ACM Transactions on Graphics Vol. 26, No. 3, Article No. 103, 2007.","journal-title":"ACM Transactions on Graphics"},{"key":"4_CR20","first-page":"557","volume-title":"In: IEEE Conference on Computer Vision and Pattern Recognition","author":"Q. Yang","year":"2009","unstructured":"Yang, Q.; Tan, K.-H.; Ahuja, N. Real-time O(1) bilateral filtering. In: IEEE Conference on Computer Vision and Pattern Recognition, 557\u2013564, 2009."},{"issue":"4","key":"4_CR21","first-page":"33","volume":"31","author":"E. S. L. Gastal","year":"2012","unstructured":"Gastal, E. S. L.; Oliveira, M. M. Adaptive manifolds for real-time high-dimensional filtering. ACM Transactions on Graphics Vol. 31, No. 4, Article No. 33, 2012.","journal-title":"ACM Transactions on Graphics"},{"issue":"4","key":"4_CR22","first-page":"128","volume":"33","author":"H. Cho","year":"2014","unstructured":"Cho, H.; Lee, H.; Kang, H.; Lee, S. Bilateral texture filtering. ACM Transactions on Graphics Vol. 33, No. 4, Article No. 128, 2014.","journal-title":"ACM Transactions on Graphics"},{"issue":"5","key":"4_CR23","doi-asserted-by":"crossref","first-page":"134","DOI":"10.1145\/1857907.1857910","volume":"29","author":"A. Criminisi","year":"2010","unstructured":"Criminisi, A.; Sharp, T.; Rother, C.; P\u00e9rez, P. Geodesic image and video editing. ACM Transactions on Graphics Vol. 29, No. 5, Article No. 134, 2010.","journal-title":"ACM Transactions on Graphics"},{"issue":"4","key":"4_CR24","first-page":"69","volume":"30","author":"E. S. L. Gastal","year":"2011","unstructured":"Gastal, E. S. L.; Oliveiral, M. M. Domain transform for edge-aware image and video processing. ACM Transactions on Graphics Vol. 30, No. 4, Article No. 69, 2011.","journal-title":"ACM Transactions on Graphics"},{"issue":"6","key":"4_CR25","doi-asserted-by":"crossref","first-page":"176","DOI":"10.1145\/2508363.2508403","volume":"32","author":"L. Karacan","year":"2013","unstructured":"Karacan, L.; Erdem, E.; Erdem, A. Structure-preserving image smoothing via region covariances. ACM Transactions on Graphics Vol. 32, No. 6, Article No. 176, 2013.","journal-title":"ACM Transactions on Graphics"},{"issue":"6\u20138","key":"4_CR26","doi-asserted-by":"crossref","first-page":"673","DOI":"10.1007\/s00371-014-0973-y","volume":"30","author":"S.-S. Huang","year":"2014","unstructured":"Huang, S.-S.; Zhang, G.-X.; Lai, Y.-K.; Kopf, J.; Cohen- Or, D.; Hu, S.-M. Parametric meta-filter modeling from a single example pair. The Visual Computer Vol. 30, Nos. 6\u20138, 673\u2013684, 2014.","journal-title":"The Visual Computer"},{"issue":"6","key":"4_CR27","first-page":"139","volume":"31","author":"L. Xu","year":"2012","unstructured":"Xu, L.; Yan, Q.; Xia, Y.; Jia, J. Structure extraction from texture via relative total variation. ACM Transactions on Graphics Vol. 31, No. 6, Article No. 139, 2012.","journal-title":"ACM Transactions on Graphics"},{"issue":"5","key":"4_CR28","doi-asserted-by":"crossref","first-page":"1915","DOI":"10.1109\/TIP.2013.2237922","volume":"22","author":"X.-Y. Li","year":"2013","unstructured":"Li, X.-Y.; Gu, Y.; Hu, S.-M.; Martin, R. R. Mixed-domain edge-aware image manipulation. IEEE Transactions on Image Processing Vol. 22, No. 5, 1915\u20131925, 2013.","journal-title":"IEEE Transactions on Image Processing"},{"issue":"9","key":"4_CR29","doi-asserted-by":"crossref","first-page":"1253","DOI":"10.1109\/TVCG.2014.2298017","volume":"20","author":"Y. Zang","year":"2014","unstructured":"Zang, Y.; Huang, H.; Zhang, L. Efficient structure-aware image smoothing by local extrema on space-filling curve. IEEE Transactions on Visualization and Computer Graphics Vol. 20, No. 9, 1253\u20131265, 2014.","journal-title":"IEEE Transactions on Visualization and Computer Graphics"},{"issue":"6","key":"4_CR30","doi-asserted-by":"crossref","first-page":"1286","DOI":"10.1109\/TMM.2011.2165052","volume":"13","author":"S.-H. Zhang","year":"2011","unstructured":"Zhang, S.-H.; Li, X.-Y.; Hu, S.-M.; Martin, R. R. Online video stream abstraction and stylization. IEEE Transactions on Multimedia Vol. 13, No. 6, 1286\u20131294, 2011.","journal-title":"IEEE Transactions on Multimedia"},{"issue":"2","key":"4_CR31","doi-asserted-by":"crossref","first-page":"593","DOI":"10.1111\/j.1467-8659.2011.01882.x","volume":"30","author":"J. E. Kyprianidis","year":"2011","unstructured":"Kyprianidis, J. E.; Kang, H. Image and video abstraction by coherence-enhancing filtering. Computer Graphics Forum Vol. 30, No. 2, 593\u2013602, 2011.","journal-title":"Computer Graphics Forum"},{"issue":"1","key":"4_CR32","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1109\/TVCG.2007.1054","volume":"14","author":"M. Botsch","year":"2008","unstructured":"Botsch, M.; Sorkine, O. On linear variational surface deformation methods. IEEE Transactions on Visualization and Computer Graphics Vol. 14, No. 1, 213\u2013230, 2008.","journal-title":"IEEE Transactions on Visualization and Computer Graphics"}],"container-title":["Computational Visual Media"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx8\/10750449\/10897290\/10897295.pdf?arnumber=10897295","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,5]],"date-time":"2025-11-05T18:38:15Z","timestamp":1762367895000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10897295\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,3]]},"references-count":32,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.1007\/s41095-015-0004-6","relation":{},"ISSN":["2096-0662","2096-0433"],"issn-type":[{"type":"electronic","value":"2096-0662"},{"type":"print","value":"2096-0433"}],"subject":[],"published":{"date-parts":[[2015,3]]}}}