{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T13:43:00Z","timestamp":1774878180549,"version":"3.50.1"},"reference-count":32,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Image Grap."],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p> Anisotropic partial differential equation (PDE)-based image restoration schemes employ a local edge indicator function typically based on gradients. In this paper, an alternative pixel-wise adaptive diffusion scheme is proposed. It uses a spatial function giving better edge information to the diffusion process. It avoids the over-locality problem of gradient-based schemes and preserves discontinuities coherently. The scheme satisfies scale space axioms for a multiscale diffusion scheme; and it uses a well-posed regularized total variation (TV) scheme along with Perona-Malik type functions. Median-based weight function is used to handle the impulse noise case. Numerical results show promise of such an adaptive approach on real noisy images. <\/jats:p>","DOI":"10.1142\/s0219467812500039","type":"journal-article","created":{"date-parts":[[2012,2,27]],"date-time":"2012-02-27T06:16:06Z","timestamp":1330323366000},"page":"1250003","source":"Crossref","is-referenced-by-count":13,"title":["AN ADAPTIVE DIFFUSION SCHEME FOR IMAGE RESTORATION AND SELECTIVE SMOOTHING"],"prefix":"10.1142","volume":"12","author":[{"given":"V. B. SURYA","family":"PRASATH","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Coimbra, Coimbra, 3001-454, Portugal"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ARINDAMA","family":"SINGH","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Indian Institute of Technology Madras, Chennai, 600036, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,4,6]]},"reference":[{"key":"rf1","volume-title":"Vision: A Computational Investigation into the Human Representation and Processing of Visual Information","author":"Marr D.","year":"1982"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00336961"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1109\/34.87339"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1098\/rspb.1980.0020"},{"key":"rf5","first-page":"679","volume":"8","author":"Canny J.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1006\/cviu.1997.0587"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008183703117"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCC.2002.804448"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1109\/34.56205"},{"key":"rf10","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1006\/ciun.1993.1006","volume":"57","author":"Whitaker R. T.","journal-title":"CVGIP: Image Understanding"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1109\/34.149593"},{"key":"rf12","doi-asserted-by":"crossref","first-page":"1539","DOI":"10.1109\/83.541424","volume":"5","author":"You Y. L.","journal-title":"IEEE Transactions on Image Processing"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1137\/S003613999529558X"},{"key":"rf14","series-title":"Applied Mathematical Sciences","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-387-44588-5_4","volume-title":"Mathematical Problems in Image Processing: Partial Differential Equation and Calculus of Variations","volume":"147","author":"Aubert G.","year":"2006"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-007-0029-2"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1137\/0729012"},{"key":"rf17","series-title":"ECMI Series","volume-title":"Anisotropic Diffusion in Image Processing","author":"Weickert J.","year":"1998"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2002.1008390"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1016\/S0096-3003(02)00171-6"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2009.11.003"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2008.2002162"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1016\/j.jvcir.2010.09.007"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1109\/97.769359"},{"key":"rf25","doi-asserted-by":"publisher","DOI":"10.1016\/0262-8856(90)80008-H"},{"key":"rf27","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(92)90242-F"},{"key":"rf28","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-9486-0"},{"key":"rf29","volume-title":"Op\u00e9rateurs Maximaux Monotones et Semi-groupes de Contractions dans les Espaces de Hilbert","author":"Brezis H.","year":"1973"},{"key":"rf30","doi-asserted-by":"publisher","DOI":"10.1109\/83.661190"},{"key":"rf31","doi-asserted-by":"publisher","DOI":"10.1109\/83.370679"},{"key":"rf32","doi-asserted-by":"crossref","first-page":"22","DOI":"10.5565\/rev\/elcvia.146","volume":"6","author":"Kusnezow W.","journal-title":"Electronic Letters on Computer Vision and Image Analysis"},{"key":"rf34","doi-asserted-by":"publisher","DOI":"10.1137\/0731032"},{"key":"rf35","doi-asserted-by":"publisher","DOI":"10.1023\/A:1022908225256"}],"container-title":["International Journal of Image and Graphics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219467812500039","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T14:03:00Z","timestamp":1565186580000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219467812500039"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":32,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2012,4,6]]},"published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1142\/S0219467812500039"],"URL":"https:\/\/doi.org\/10.1142\/s0219467812500039","relation":{},"ISSN":["0219-4678","1793-6756"],"issn-type":[{"value":"0219-4678","type":"print"},{"value":"1793-6756","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,1]]}}}