{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,2]],"date-time":"2026-02-02T14:26:14Z","timestamp":1770042374468,"version":"3.49.0"},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2022,3,26]],"date-time":"2022-03-26T00:00:00Z","timestamp":1648252800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,3,26]],"date-time":"2022-03-26T00:00:00Z","timestamp":1648252800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100000181","name":"Air Force Office of Scientific Research","doi-asserted-by":"publisher","award":["FA9550-18-1-0102"],"award-info":[{"award-number":["FA9550-18-1-0102"]}],"id":[{"id":"10.13039\/100000181","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2022,5]]},"DOI":"10.1007\/s10915-022-01804-z","type":"journal-article","created":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T01:03:41Z","timestamp":1648515821000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Construction of discontinuity detectors using convolutional neural networks"],"prefix":"10.1007","volume":"91","author":[{"given":"Shuyi","family":"Wang","sequence":"first","affiliation":[]},{"given":"Zixu","family":"Zhou","sequence":"additional","affiliation":[]},{"given":"Lo-Bin","family":"Chang","sequence":"additional","affiliation":[]},{"given":"Dongbin","family":"Xiu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,3,26]]},"reference":[{"key":"1804_CR1","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1137\/S0036142903435259","volume":"43","author":"R Archibald","year":"2005","unstructured":"Archibald, R., Gelb, A., Yoon, J.: Polynomial fitting for edge detection in irregularly sampled signals and images. SIAM J. Numer. Anal. 43, 259\u2013279 (2005)","journal-title":"SIAM J. Numer. Anal."},{"key":"1804_CR2","doi-asserted-by":"publisher","first-page":"577","DOI":"10.1016\/j.apnum.2007.01.018","volume":"58","author":"R Archibald","year":"2008","unstructured":"Archibald, R., Gelb, A., Yoon, J.: Determining the locations and discontinuities in the derivatives of functions. Appl. Numer. Math. 58, 577\u2013592 (2008)","journal-title":"Appl. Numer. Math."},{"key":"1804_CR3","doi-asserted-by":"crossref","unstructured":"Bozzini, M., De Tisi, F., Rossini, M.: Irregularity detection from noisy data with wavelets. In: Laurent, P.-J., Le Mehaute, A., Schumaker, L. (eds.) Wavelets, Images, and Surface Fitting, pp. 75\u201382. AK Peters\/CRC Press (1994)","DOI":"10.1201\/9781439863602-8"},{"key":"1804_CR4","unstructured":"El-Sayed, M., Estaitia, Y.A., Khafagy, M.A.: Automated edge detection using convolutional neural network. Int. J. Adv. Comput. Sci. Appl. 4, 11\u201317 (2013)"},{"key":"1804_CR5","doi-asserted-by":"crossref","unstructured":"Gao, Z., Wen, X., Don, W.S.: Enhanced robustness of the hybrid compact-WENO finite difference scheme for hyperbolic conservation laws with multi-resolution analysis and Tukey\u2019s boxplot method. J. Sci. Comput. 73, 736\u2013752 (2017)","DOI":"10.1007\/s10915-017-0465-0"},{"key":"1804_CR6","unstructured":"Goodfellow, I., Bengio, Y., Courville, A.: Deep Learning. MIT Press (2016). http:\/\/www.deeplearningbook.org"},{"key":"1804_CR7","volume-title":"Machine Vision","author":"R Jain","year":"1995","unstructured":"Jain, R., Kasturi, R., Schunck, B.G.: Machine Vision, vol. 5. McGraw-Hill, New York (1995)"},{"key":"1804_CR8","unstructured":"Kingma, D.P., Ba, J.: Adam: A Method for Stochastic Optimization. arXiv preprint arXiv:1412.6980 (2014)"},{"key":"1804_CR9","unstructured":"Krizhevsky, A., Sutskever, I., Hinton, G.E.: Imagenet classification with deep convolutional neural networks. In: Advances in Neural Information Processing Systems, pp.\u00a01097\u20131105 (2012)"},{"key":"1804_CR10","first-page":"4013","volume":"1","author":"A Lavin","year":"2016","unstructured":"Lavin, A., Gray, S.: Fast algorithms for convolutional neural networks. IEEE Conf. Comput. Vis. Pattern Recognit. 1, 4013\u20134021 (2016)","journal-title":"IEEE Conf. Comput. Vis. Pattern Recognit."},{"key":"1804_CR11","doi-asserted-by":"publisher","first-page":"541","DOI":"10.1162\/neco.1989.1.4.541","volume":"1","author":"Y LeCun","year":"1989","unstructured":"LeCun, Y., Boser, B., Denker, J.S., Henderson, D., Howard, R.E., Hubbard, W., Jackel, L.D.: Backpropagation applied to handwritten zip code recognition. Neural Comput. 1, 541\u2013551 (1989)","journal-title":"Neural Comput."},{"key":"1804_CR12","doi-asserted-by":"publisher","first-page":"1939","DOI":"10.1109\/TPAMI.2018.2878849","volume":"41","author":"Y Liu","year":"2019","unstructured":"Liu, Y., Cheng, M.-M., Hu, X., Bian, J.-W., Zhang, L., Bai, X., Tang, J.: Richer convolutional features for edge detection. IEEE Trans. Pattern Anal. Mach. Intell. 41, 1939\u20131946 (2019)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"1804_CR13","first-page":"19","volume":"9","author":"V Suresh","year":"2016","unstructured":"Suresh, V., Koteswarao Rao, S., Thiagarajan, G., Das, R.P.: Denoising and detecting discontinuities using wavelets. Indian J. Sci. Technol. 9, 19 (2016)","journal-title":"Indian J. Sci. Technol."},{"key":"1804_CR14","doi-asserted-by":"publisher","first-page":"A84","DOI":"10.1137\/15M1018393","volume":"38","author":"MJ Vuik","year":"2016","unstructured":"Vuik, M.J., Ryan, J.K.: Automated parameters for troubled-cell indicators using outlier detection. SIAM J. Sci. Comput. 38, A84\u2013A104 (2016)","journal-title":"SIAM J. Sci. Comput."},{"key":"1804_CR15","doi-asserted-by":"crossref","unstructured":"Wang, R.: Edge detection using convolutional neural network. In: Advances in Neural Networks\u2014ISNN, pp.\u00a012\u201320. Springer, Cham (2016)","DOI":"10.1007\/978-3-319-40663-3_2"},{"key":"1804_CR16","first-page":"136","volume":"53","author":"M Wei","year":"2004","unstructured":"Wei, M., De Pierro, A.R., Yin, J.: Iterative methods based on polynomial interpolation filters to detect discontinuities and recover point values from Fourier data. IEEE Trans. Signal Process. 53, 136\u2013146 (2004)","journal-title":"IEEE Trans. Signal Process."},{"key":"1804_CR17","doi-asserted-by":"publisher","first-page":"84","DOI":"10.1016\/j.jvcir.2018.10.017","volume":"57","author":"C Wen","year":"2018","unstructured":"Wen, C., Liu, P., Ma, W., Jian, Z., Lv, C., Hong, J., Shi, X.: Edge detection with feature re-extraction deep convolutional neural network. J. Vis. Commun. Image Represent. 57, 84\u201390 (2018)","journal-title":"J. Vis. Commun. Image Represent."},{"key":"1804_CR18","doi-asserted-by":"crossref","unstructured":"Xue, C., Zhang, J., Xing, J., Lei, Y., Sun, Y.: Research on edge detection operator of a convolutional neural network. In: IEEE 8th Joint International Information Technology and Artificial Intelligence Conference, pp.\u00a049\u201353 (2019)","DOI":"10.1109\/ITAIC.2019.8785855"},{"key":"1804_CR19","doi-asserted-by":"publisher","first-page":"517","DOI":"10.1137\/16M1071699","volume":"58","author":"G Zhang","year":"2016","unstructured":"Zhang, G., Webster, C.G., Gunzburger, M., Burkardt, J.: Hyperspherical sparse approximation techniques for high-dimensional discontinuity detection. SIAM Rev. 58, 517\u2013551 (2016)","journal-title":"SIAM Rev."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-022-01804-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10915-022-01804-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-022-01804-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,4,27]],"date-time":"2022-04-27T13:44:05Z","timestamp":1651067045000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10915-022-01804-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,3,26]]},"references-count":19,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2022,5]]}},"alternative-id":["1804"],"URL":"https:\/\/doi.org\/10.1007\/s10915-022-01804-z","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,3,26]]},"assertion":[{"value":"31 March 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"31 December 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 January 2022","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 March 2022","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors have not disclosed any competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"40"}}