{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,3]],"date-time":"2026-06-03T10:53:21Z","timestamp":1780484001621,"version":"3.54.1"},"reference-count":37,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2019,3,1]],"date-time":"2019-03-01T00:00:00Z","timestamp":1551398400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2023,3,15]],"date-time":"2023-03-15T00:00:00Z","timestamp":1678838400000},"content-version":"vor","delay-in-days":1475,"URL":"http:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"},{"start":{"date-parts":[[2019,3,1]],"date-time":"2019-03-01T00:00:00Z","timestamp":1551398400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2019,3,1]],"date-time":"2019-03-01T00:00:00Z","timestamp":1551398400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2019,3,1]],"date-time":"2019-03-01T00:00:00Z","timestamp":1551398400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2019,3,1]],"date-time":"2019-03-01T00:00:00Z","timestamp":1551398400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2019,3,1]],"date-time":"2019-03-01T00:00:00Z","timestamp":1551398400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Computational and Applied Mathematics"],"published-print":{"date-parts":[[2019,3]]},"DOI":"10.1016\/j.cam.2018.08.006","type":"journal-article","created":{"date-parts":[[2018,8,11]],"date-time":"2018-08-11T06:22:49Z","timestamp":1533968569000},"page":"532-547","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":64,"special_numbering":"C","title":["Edge detection methods based on RBF interpolation"],"prefix":"10.1016","volume":"349","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3294-3228","authenticated-orcid":false,"given":"Lucia","family":"Romani","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Milvia","family":"Rossini","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Daniela","family":"Schenone","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.cam.2018.08.006_b1","series-title":"International Conference on Intelligent Computing and Applications","first-page":"185","article-title":"Feature extraction of DICOM images using Canny edge detection algorithm","author":"Chikmurge","year":"2018"},{"key":"10.1016\/j.cam.2018.08.006_b2","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1016\/j.patcog.2017.09.017","article-title":"Semi-automatic spline fitting of planar curvilinear profiles in digital images using the Hough transform","volume":"74","author":"Conti","year":"2018","journal-title":"Pattern Recognit."},{"key":"10.1016\/j.cam.2018.08.006_b3","series-title":"Digital Image Processing","author":"Gonzalez","year":"2002"},{"key":"10.1016\/j.cam.2018.08.006_b4","doi-asserted-by":"crossref","first-page":"220","DOI":"10.1016\/j.protcy.2012.05.033","article-title":"A survey on various edge detector techniques","volume":"4","author":"Bhardwaj","year":"2012","journal-title":"Procedia Technol."},{"key":"10.1016\/j.cam.2018.08.006_b5","series-title":"2nd International Conference on Computing for Sustainable Global Development","first-page":"393","article-title":"Comparison of various edge detection techniques","author":"Singh","year":"2015"},{"key":"10.1016\/j.cam.2018.08.006_b6","series-title":"A Wavelet Tour of Signal Processing","author":"Mallat","year":"2009"},{"issue":"6","key":"10.1016\/j.cam.2018.08.006_b7","doi-asserted-by":"crossref","first-page":"1610","DOI":"10.1109\/TIP.2006.873450","article-title":"Directional multiscale modeling of images using the contourlet transform","volume":"15","author":"Po","year":"2006","journal-title":"IEEE Trans. Image Process."},{"issue":"5","key":"10.1016\/j.cam.2018.08.006_b8","doi-asserted-by":"crossref","first-page":"929","DOI":"10.1109\/TIP.2009.2013082","article-title":"A shearlet approach to edge analysis and detection","volume":"18","author":"Yi","year":"2009","journal-title":"IEEE Trans. Image Process."},{"issue":"2","key":"10.1016\/j.cam.2018.08.006_b9","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1016\/j.acha.2007.06.009","article-title":"Approximation of piecewise smooth functions and images by edge-adapted (ENO-EA) nonlinear multiresolution techniques","volume":"24","author":"Arandiga","year":"2008","journal-title":"Appl. Comput. Harmon. Anal."},{"issue":"4","key":"10.1016\/j.cam.2018.08.006_b10","doi-asserted-by":"crossref","first-page":"553","DOI":"10.1016\/j.imavis.2009.09.002","article-title":"Edge detection insensitive to changes of illumination in the image","volume":"28","author":"Arandiga","year":"2010","journal-title":"Image Vis. Comput."},{"issue":"3\u20134","key":"10.1016\/j.cam.2018.08.006_b11","first-page":"203","article-title":"Detecting discontinuities in two-dimensional signals sampled on a grid","volume":"4","author":"Rossini","year":"2009","journal-title":"JNAIAM J. Numer. Anal. Ind. Appl. Math."},{"issue":"6","key":"10.1016\/j.cam.2018.08.006_b12","doi-asserted-by":"crossref","first-page":"1059","DOI":"10.1016\/j.simpat.2009.03.007","article-title":"Adaptive detection and approximation of unknown surface discontinuities from scattered data","volume":"17","author":"Allasia","year":"2009","journal-title":"Simul. Modell. Pract. Theory"},{"issue":"1","key":"10.1016\/j.cam.2018.08.006_b13","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1137\/S0036142903435259","article-title":"Polynomial fitting for edge detection in irregularly sampled signals and images","volume":"43","author":"Archibald","year":"2005","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.cam.2018.08.006_b14","doi-asserted-by":"crossref","first-page":"148","DOI":"10.1016\/j.cam.2012.06.014","article-title":"The detection and recovery of discontinuity curves from scattered data","volume":"240","author":"Bozzini","year":"2013","journal-title":"J. Comput. Appl. Math."},{"issue":"1\u20133","key":"10.1016\/j.cam.2018.08.006_b15","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1007\/s11075-004-3624-y","article-title":"Detecting and approximating fault lines from randomly scattered data","volume":"39","author":"Crampton","year":"2005","journal-title":"Numer. Algorithms"},{"issue":"1\u20133","key":"10.1016\/j.cam.2018.08.006_b16","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1007\/s11075-008-9177-8","article-title":"Approximation of surfaces with fault(s) and\/or rapidly varying data, using a segmentation process, Dm-splines and the finite element method","volume":"48","author":"Gout","year":"2008","journal-title":"Numer. Algorithms"},{"key":"10.1016\/j.cam.2018.08.006_b17","first-page":"113","article-title":"Kernel-based adaptive approximation of functions with discontinuities","volume":"307","author":"Lenarduzzi","year":"2017","journal-title":"Appl. Math. Comput."},{"issue":"1\u20132","key":"10.1016\/j.cam.2018.08.006_b18","doi-asserted-by":"crossref","first-page":"559","DOI":"10.1016\/S0377-0427(01)00601-X","article-title":"Vertical and oblique fault detection in explicit surfaces","volume":"140","author":"L\u00f3pez\u00a0de Silanes","year":"2002","journal-title":"J. Comput. Appl. Math."},{"issue":"7","key":"10.1016\/j.cam.2018.08.006_b19","doi-asserted-by":"crossref","first-page":"1449","DOI":"10.1016\/j.apnum.2008.09.002","article-title":"An iterative adaptive multiquadric radial basis function method for the detection of local jump discontinuities","volume":"59","author":"Jung","year":"2009","journal-title":"Appl. Numer. Math."},{"issue":"1","key":"10.1016\/j.cam.2018.08.006_b20","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1016\/j.apnum.2010.08.006","article-title":"Iterative adaptive RBF methods for detection of edges in two-dimensional functions","volume":"61","author":"Jung","year":"2011","journal-title":"Appl. Numer. Math."},{"issue":"1","key":"10.1016\/j.cam.2018.08.006_b21","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1093\/imanum\/drt071","article-title":"Interpolation with variably scaled kernels","volume":"35","author":"Bozzini","year":"2015","journal-title":"IMA J. Numer. Anal."},{"key":"10.1016\/j.cam.2018.08.006_b22","first-page":"3","article-title":"Interpolating functions with gradient discontinuities via variably scaled kernels","volume":"11","author":"Rossini","year":"2018","journal-title":"Dolomites Res. Notes Approx."},{"issue":"12","key":"10.1016\/j.cam.2018.08.006_b23","doi-asserted-by":"crossref","first-page":"2568","DOI":"10.1016\/j.camwa.2016.04.021","article-title":"Efficient computation of partition of unity interpolants through a block-based searching technique","volume":"71","author":"Cavoretto","year":"2016","journal-title":"Comput. Math. Appl."},{"key":"10.1016\/j.cam.2018.08.006_b24","series-title":"Meshfree Approximation Methods with MATLAB","volume":"vol. 6","author":"Fasshauer","year":"2007"},{"key":"10.1016\/j.cam.2018.08.006_b25","series-title":"Scattered Data Approximation","volume":"vol. 17","author":"Wendland","year":"2005"},{"issue":"1\u20134","key":"10.1016\/j.cam.2018.08.006_b26","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1007\/s11075-007-9072-8","article-title":"On choosing \u201coptimal\u201d shape parameters for RBF approximation","volume":"45","author":"Fasshauer","year":"2007","journal-title":"Numer. Algorithms"},{"issue":"3","key":"10.1016\/j.cam.2018.08.006_b27","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1016\/j.camwa.2007.01.028","article-title":"The Runge phenomenon and spatially variable shape parameters in RBF interpolation","volume":"54","author":"Fornberg","year":"2007","journal-title":"Comput. Math. Appl."},{"issue":"2","key":"10.1016\/j.cam.2018.08.006_b28","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1007\/s10092-004-0085-6","article-title":"Interpolation by basis functions of different scales and shapes","volume":"41","author":"Bozzini","year":"2004","journal-title":"Calcolo"},{"key":"10.1016\/j.cam.2018.08.006_b29","series-title":"Radial Basis Functions","author":"Buhmann","year":"2003"},{"key":"10.1016\/j.cam.2018.08.006_b30","series-title":"Functional Analysis","author":"Rudin","year":"1973"},{"issue":"3","key":"10.1016\/j.cam.2018.08.006_b31","doi-asserted-by":"crossref","first-page":"282","DOI":"10.1016\/j.acha.2004.11.007","article-title":"Decomposition and reconstruction of multidimensional signals using polyharmonic pre-wavelets","volume":"18","author":"Bacchelli","year":"2005","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"10.1016\/j.cam.2018.08.006_b32","series-title":"The Gibbs Phenomenon in Various Representations and Applications","first-page":"201","article-title":"The Gibbs phenomenon for radial basis functions","author":"Fornberg","year":"2011"},{"issue":"1","key":"10.1016\/j.cam.2018.08.006_b33","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1093\/imanum\/drm014","article-title":"Locality properties of radial basis function expansion coefficients for equispaced interpolation","volume":"28","author":"Fornberg","year":"2008","journal-title":"IMA J. Numer. Anal."},{"key":"10.1016\/j.cam.2018.08.006_b34","series-title":"Approximation Theory X: Wavelets, Splines, and Applications","first-page":"473","article-title":"Fast evaluation of radial basis functions: Methods based on partition of unity","author":"Wendland","year":"2002"},{"issue":"6","key":"10.1016\/j.cam.2018.08.006_b35","doi-asserted-by":"crossref","first-page":"679","DOI":"10.1109\/TPAMI.1986.4767851","article-title":"A computational approach to edge detection","volume":"8","author":"Canny","year":"1986","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"4","key":"10.1016\/j.cam.2018.08.006_b36","doi-asserted-by":"crossref","first-page":"600","DOI":"10.1109\/TIP.2003.819861","article-title":"Image quality assessment: From error visibility to structural similarity","volume":"13","author":"Wang","year":"2004","journal-title":"Trans. Img. Proc."},{"key":"10.1016\/j.cam.2018.08.006_b37","doi-asserted-by":"crossref","unstructured":"R. Franke, A critical comparison of some methods for interpolation of scattered data. Technical report, Naval Postgraduate School Tech. Rep. NPS-53-79-003, 1979.","DOI":"10.21236\/ADA081688"}],"container-title":["Journal of Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377042718304837?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377042718304837?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2024,4,6]],"date-time":"2024-04-06T20:50:03Z","timestamp":1712436603000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0377042718304837"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,3]]},"references-count":37,"alternative-id":["S0377042718304837"],"URL":"https:\/\/doi.org\/10.1016\/j.cam.2018.08.006","relation":{},"ISSN":["0377-0427"],"issn-type":[{"value":"0377-0427","type":"print"}],"subject":[],"published":{"date-parts":[[2019,3]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Edge detection methods based on RBF interpolation","name":"articletitle","label":"Article Title"},{"value":"Journal of Computational and Applied Mathematics","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cam.2018.08.006","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2018 Elsevier B.V.","name":"copyright","label":"Copyright"}]}}