{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,27]],"date-time":"2025-10-27T16:08:11Z","timestamp":1761581291929,"version":"3.41.0"},"reference-count":43,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2015,3,15]],"date-time":"2015-03-15T00:00:00Z","timestamp":1426377600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Supercomput"],"published-print":{"date-parts":[[2016,1]]},"DOI":"10.1007\/s11227-015-1398-8","type":"journal-article","created":{"date-parts":[[2015,3,14]],"date-time":"2015-03-14T08:56:10Z","timestamp":1426323370000},"page":"5-23","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Optimal filter based on scale-invariance generation of natural images"],"prefix":"10.1007","volume":"72","author":[{"given":"Feng","family":"Jiang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bo-Wei","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Seungmin","family":"Rho","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wen","family":"Ji","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liqiang","family":"Pan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hongwei","family":"Guo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Debin","family":"Zhao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,3,15]]},"reference":[{"issue":"1","key":"1398_CR1","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1090\/qam\/1811096","volume":"59","author":"D Mumford","year":"2001","unstructured":"Mumford D, Gidas B (2001) Stochastic models for generic images. Q Appl Math 59(1):85\u2013111","journal-title":"Q Appl Math"},{"issue":"9","key":"1398_CR2","doi-asserted-by":"crossref","first-page":"1200","DOI":"10.1109\/TPAMI.2002.1033212","volume":"24","author":"A Srivastava","year":"2002","unstructured":"Srivastava A, Grenander U, Liu X (2002) Universal analytical forms for modeling image probabilities. IEEE Pattern Anal Mach Intell 24(9):1200\u20131214","journal-title":"IEEE Pattern Anal Mach Intell"},{"issue":"2","key":"1398_CR3","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1007\/s11227-010-0397-z","volume":"57","author":"M Schellmann","year":"2011","unstructured":"Schellmann M, Gorlatch S, Meil\u00e4nder D, K\u00f6sters T (2011) Parallel medical image reconstruction: from graphics processing units (GPU) to grids. J Supercomput 57(2):151\u2013160","journal-title":"J Supercomput"},{"issue":"1","key":"1398_CR4","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1007\/s11227-014-1214-x","volume":"69","author":"J Skaruz","year":"2014","unstructured":"Skaruz J (2014) Two-dimensional patterns and images reconstruction with use of cellular automata. J Supercomput 69(1):9\u201316","journal-title":"J Supercomput"},{"key":"1398_CR5","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1088\/0954-898X_3_2_009","volume":"3","author":"JJ Atick","year":"1992","unstructured":"Atick JJ (1992) Could information theory provide an ecological theory of sensory processing. Network 3:213\u2013251","journal-title":"Network"},{"key":"1398_CR6","unstructured":"Bialek W (2002) In Physics of biomolecules and cells. In: Flyvbjerg H, J\u00fclicher F, Ormos P, David F (eds) Proceedings of the Les Houches Summer School, Session LXXV, Springer-Verlag, Berlin, pp 485\u2013577. arXiv:physics\/0205030"},{"issue":"2","key":"1398_CR7","doi-asserted-by":"crossref","first-page":"580","DOI":"10.1007\/s11227-012-0844-0","volume":"65","author":"H-Y Lim","year":"2013","unstructured":"Lim H-Y, Kang D-S (2013) Efficient noise reduction in images using directional modified sigma filter. J Supercomput 65(2):580\u2013592","journal-title":"J Supercomput"},{"issue":"2","key":"1398_CR8","doi-asserted-by":"crossref","first-page":"1033","DOI":"10.1007\/s11227-013-0969-9","volume":"66","author":"C-Y Weng","year":"2013","unstructured":"Weng C-Y, Zhang YH, Li LC, Wang S-J (2013) Visible watermarking images in high quality of data hiding. J Supercomput 66(2):1033\u20131048","journal-title":"J Supercomput"},{"issue":"6","key":"1398_CR9","doi-asserted-by":"crossref","first-page":"1279","DOI":"10.1109\/TSMC.2013.2244211","volume":"43","author":"B-W Chen","year":"2013","unstructured":"Chen B-W, Chen C-Y, Wang J-F (2013) Smart homecare surveillance system: behavior identification based on state transition support vector machines and sound directivity pattern analysis. IEEE Trans Syst Man Cybern-Part A: Syst 43(6):1279\u20131289","journal-title":"IEEE Trans Syst Man Cybern-Part A: Syst"},{"key":"1398_CR10","doi-asserted-by":"crossref","unstructured":"Jiang F, Rho S, Chen B-W, Du X, Zhao D (2014) Face hallucination and recognition in social network services. J Supercomput. doi: 10.1007\/s11227-014-1257-z","DOI":"10.1007\/s11227-014-1257-z"},{"key":"1398_CR11","unstructured":"Barlow HB (1961) Possible principles underlying the transformation of sensory messages. In: Rosenblith WA (ed) Sensory communication. MIT Press, Cambridge (Mass) London, pp 217\u2013234"},{"issue":"1","key":"1398_CR12","doi-asserted-by":"crossref","first-page":"1193","DOI":"10.1146\/annurev.neuro.24.1.1193","volume":"24","author":"EP Simoncelli","year":"2001","unstructured":"Simoncelli EP, Olshausen BA (2001) Natural image statistics and neural representation. Annu Rev Neurosci 24(1):1193\u20131216","journal-title":"Annu Rev Neurosci"},{"key":"1398_CR13","doi-asserted-by":"crossref","unstructured":"Bialek W (2002) Thinking about the brain. Physics of bio-molecules and cells. Physique des biomol\u00e9cules et des cellules. Springer, Berlin, pp 485\u2013578","DOI":"10.1007\/3-540-45701-1_12"},{"key":"1398_CR14","doi-asserted-by":"crossref","unstructured":"Zoran D, Weiss Y (2009) Scale invariance and noise in natural images. In: IEEE 12th international conference on computer vision, pp 2209\u20132216","DOI":"10.1109\/ICCV.2009.5459476"},{"key":"1398_CR15","doi-asserted-by":"crossref","first-page":"517","DOI":"10.1088\/0954-898X_5_4_006","volume":"5","author":"DL Ruderman","year":"1994","unstructured":"Ruderman DL (1994) The statistics of natural images. Network 5:517\u2013548","journal-title":"Network"},{"key":"1398_CR16","doi-asserted-by":"crossref","unstructured":"Field DJ (1987) Relations between the statistics of natural images and the response properties of cortical cells. J Opt Soc Am A 4:2379","DOI":"10.1364\/JOSAA.4.002379"},{"key":"1398_CR17","doi-asserted-by":"crossref","unstructured":"Weiss Y, Freeman WT (2007) What makes a good model of natural images. In: IEEE conference on computer vision and patern recognition (CVPR), pp 1\u20138","DOI":"10.1109\/CVPR.2007.383092"},{"key":"1398_CR18","doi-asserted-by":"crossref","unstructured":"Zhang H, Zhang Y, Li H, Huang TS (2012) Generative Bayesian image super-resolution with natural image prior. IEEE Trans Image Process 21(9):4054\u20134067","DOI":"10.1109\/TIP.2012.2199330"},{"key":"1398_CR19","doi-asserted-by":"crossref","unstructured":"Lam E, Goodman J (2000) A mathematical analysis of the dct coefficient distributions for images. IEEE Trans Image Process 9(10):1661\u20131666","DOI":"10.1109\/83.869177"},{"key":"1398_CR20","doi-asserted-by":"crossref","unstructured":"Bethge M (2006) Factorial coding of natural images: how effective are linear models in removing higher-order dependencies. J Opt Soc Am A Opt Image Sci Vis 23(6):1253\u20131268","DOI":"10.1364\/JOSAA.23.001253"},{"key":"1398_CR21","unstructured":"Ruderman DL, Bialek W (1993) Statistics of natural images: scaling in the woods. In NIPS, pp 551\u2013558"},{"issue":"1","key":"1398_CR22","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1023\/A:1021889010444","volume":"18","author":"A Srivastava","year":"2003","unstructured":"Srivastava A, Lee AB, Simoncelli EP, Zhu S-C (2003) On advances in statistical modeling of natural images. J Math Imaging Vis 18(1):17\u201333","journal-title":"J Math Imaging Vis"},{"key":"1398_CR23","doi-asserted-by":"crossref","first-page":"3385","DOI":"10.1016\/S0042-6989(97)00008-4","volume":"37","author":"DL Ruderman","year":"1997","unstructured":"Ruderman DL (1997) Origins of scaling in natural images. Vis Res 37:3385\u20133398","journal-title":"Vis Res"},{"key":"1398_CR24","unstructured":"Dom\u00ednguez-Molina J, Gonz\u00e1lez-Far\u00edas G, Rodr\u00edguez-Dagnino R, Monterrey I A practical procedure to estimate the shape parameter in the generalized Gaussian distribution. Technique report I-01-18\\_eng. pdf. http:\/\/www.cimat.mx\/reportes\/enlinea\/I-01-18_eng.pdf"},{"key":"1398_CR25","doi-asserted-by":"crossref","unstructured":"Hou T, Wang S, Qin H (2011) Image deconvolution with multi-stage convex relaxation and its perceptual evaluation. IEEE Trans Image Process 20(12):3383\u20133392","DOI":"10.1109\/TIP.2011.2150236"},{"key":"1398_CR26","doi-asserted-by":"crossref","unstructured":"Gluckman J (2006) Scale variant image pyramids. Comput Vis Pattern Recognit 2006 IEEE Computer Society conference on, vol 1. IEEE","DOI":"10.1109\/CVPR.2006.265"},{"key":"1398_CR27","doi-asserted-by":"crossref","unstructured":"Ren X, Malik J (2002) A probabilistic multi-scale model for contour completion based on image statistics. Computer vision\u2013ECCV, Springer, Berlin, pp 312\u2013327","DOI":"10.1007\/3-540-47969-4_21"},{"issue":"2","key":"1398_CR28","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1109\/38.988747","volume":"22","author":"WT Freeman","year":"2002","unstructured":"Freeman WT, Jones TR, Pasztor EC (2002) Example based superresolution. IEEE Comput Graph Appl 22(2):56\u201365","journal-title":"IEEE Comput Graph Appl"},{"key":"1398_CR29","doi-asserted-by":"crossref","unstructured":"Glasner D, Bagon S, Irani M (2009) Super-resolution from a single image. In: Proceedings of IEEE international conference on computer vision, Oct 2009, pp 349\u2013356","DOI":"10.1109\/ICCV.2009.5459271"},{"key":"1398_CR30","doi-asserted-by":"crossref","unstructured":"Zhang H, Yang J, Zhang Y, Huang T (2010) Non-local kernel regression for image and video restoration. In: Proceedings of European conference on computer vision, 2010, pp 566\u2013579","DOI":"10.1007\/978-3-642-15558-1_41"},{"issue":"11","key":"1398_CR31","doi-asserted-by":"crossref","first-page":"2861","DOI":"10.1109\/TIP.2010.2050625","volume":"19","author":"J Yang","year":"2010","unstructured":"Yang J, Wright J, Huang T, Ma Y (2010) Image super-resolution via sparse representation. IEEE Trans Image Process 19(11):2861\u20132873","journal-title":"IEEE Trans Image Process"},{"issue":"9","key":"1398_CR32","doi-asserted-by":"crossref","first-page":"1167","DOI":"10.1109\/TPAMI.2002.1033210","volume":"24","author":"S Baker","year":"2002","unstructured":"Baker S, Kanade T (2002) Limits on super-resolution and how to break them. IEEE Trans Pattern Anal Mach Intell 24(9):1167\u20131183","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"10","key":"1398_CR33","doi-asserted-by":"crossref","first-page":"1521","DOI":"10.1109\/83.951537","volume":"10","author":"X Li","year":"2001","unstructured":"Li X, Orchard MT (2001) New edge-directed interpolation. IEEE Trans Image Process 10(10):1521\u20131527","journal-title":"IEEE Trans Image Process"},{"issue":"2","key":"1398_CR34","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1109\/TIP.2006.888330","volume":"16","author":"H Takeda","year":"2007","unstructured":"Takeda H, Farsiu S, Milanfar P (2007) Kernel regression for image processing and reconstruction. IEEE Trans Image Process 16(2):349\u2013366","journal-title":"IEEE Trans Image Process"},{"key":"1398_CR35","unstructured":"Tappen MF, Russell BC, Freeman WT (2003) Exploiting the sparse derivative prior for super-resolution and image demosaicing. In: Proceedings of IEEE workshop statistics computer theories vision, Oct 2003, pp 1\u201324"},{"issue":"6","key":"1398_CR36","doi-asserted-by":"crossref","first-page":"1153","DOI":"10.1109\/TASSP.1981.1163711","volume":"ASSP\u201329","author":"RG Keys","year":"1981","unstructured":"Keys RG (1981) Cubic convolution interpolation for digital image processing. IEEE Trans Acoust Speech Signal Process ASSP\u201329(6):1153\u20131160","journal-title":"IEEE Trans Acoust Speech Signal Process"},{"issue":"8","key":"1398_CR37","doi-asserted-by":"crossref","first-page":"2226","DOI":"10.1109\/TIP.2006.877407","volume":"15","author":"L Zhang","year":"2006","unstructured":"Zhang L, Wu X (2006) Image interpolation via directional filtering and data fusion. IEEE Trans Image Process 15(8):2226\u20132238","journal-title":"IEEE Trans Image Process"},{"issue":"6","key":"1398_CR38","doi-asserted-by":"crossref","first-page":"887","DOI":"10.1109\/TIP.2008.924279","volume":"17","author":"X Zhang","year":"2008","unstructured":"Zhang X, Wu X (2008) Image interpolation by adaptive 2-D autoregressive modeling and soft-decision estimation. Image Process IEEE Trans 17(6):887\u2013896","journal-title":"Image Process IEEE Trans"},{"key":"1398_CR39","doi-asserted-by":"crossref","unstructured":"Martin D, Fowlkes C, Tal D, Malik J (2001) A database of human segmented natural images and its application to evaluating segmentation algorithms and measuring ecological statistics. In: Proceedings of ICCV 2:416\u2013423","DOI":"10.1109\/ICCV.2001.937655"},{"key":"1398_CR40","doi-asserted-by":"crossref","unstructured":"Cai JF, Chan R, Nikolova M (2008) Two-phase methods for deblurring images corrupted by impulse plus Gaussian noise. Inverse Probl Imaging 2(2):187\u2013204","DOI":"10.3934\/ipi.2008.2.187"},{"key":"1398_CR41","doi-asserted-by":"crossref","unstructured":"Huang Y, Ng M, Wen Y (2009) Fast image restoration methods for impulse and Gaussian noise removal. IEEE Signal Process Lett 16(6):457\u2013460","DOI":"10.1109\/LSP.2009.2016835"},{"issue":"7","key":"1398_CR42","doi-asserted-by":"crossref","first-page":"1822","DOI":"10.1109\/TIP.2010.2103950","volume":"20","author":"Y-R Li","year":"2011","unstructured":"Li Y-R, Shen L, Dai D-Q, Suter BW (2011) Framelet algorithms for de-blurring images corrupted by impulse plus Gaussian noise. IEEE Trans Image Process 20(7):1822\u20131837","journal-title":"IEEE Trans Image Process"},{"key":"1398_CR43","doi-asserted-by":"crossref","unstructured":"Hwang H, Haddad R (1995) Adaptive median filters: new algorithms and results. IEEE Trans Image Process 4(4):499\u2013502","DOI":"10.1109\/83.370679"}],"container-title":["The Journal of Supercomputing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11227-015-1398-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11227-015-1398-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11227-015-1398-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,21]],"date-time":"2025-05-21T00:04:20Z","timestamp":1747785860000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11227-015-1398-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,3,15]]},"references-count":43,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2016,1]]}},"alternative-id":["1398"],"URL":"https:\/\/doi.org\/10.1007\/s11227-015-1398-8","relation":{},"ISSN":["0920-8542","1573-0484"],"issn-type":[{"type":"print","value":"0920-8542"},{"type":"electronic","value":"1573-0484"}],"subject":[],"published":{"date-parts":[[2015,3,15]]}}}