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It also shows that it is possible to find a fixed set of parameters, allowing automatic detection while maintaining high performance.<\/jats:p>","DOI":"10.3390\/app11115288","type":"journal-article","created":{"date-parts":[[2021,6,7]],"date-time":"2021-06-07T13:25:43Z","timestamp":1623072343000},"page":"5288","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Fractional Order Processing of Satellite Images"],"prefix":"10.3390","volume":"11","author":[{"given":"Manuel","family":"Henriques","sequence":"first","affiliation":[{"name":"IDMEC, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9388-4308","authenticated-orcid":false,"given":"Duarte","family":"Val\u00e9rio","sequence":"additional","affiliation":[{"name":"IDMEC, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Av. 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Anal."},{"key":"ref_3","unstructured":"Kanade, T., and Shafer, S. (1989). Image Understanding Research at Carnegie Mellon. Proceedings of the Workshop on Image Understanding Workshop, December 1989, Morgan Kaufmann Publishers Inc."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1016\/1049-9652(91)90018-F","article-title":"Edge detection in multispectral images","volume":"53","author":"Cumani","year":"1991","journal-title":"CVGIP Graph. Model. Image Process."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Henriques, M., Val\u00e9rio, D., Gordo, P., and Melicio, R. (2021). Fractional Order Colour Image Processing. Mathematics, 9.","DOI":"10.3390\/math9050457"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"181","DOI":"10.5890\/JAND.2017.06.005","article-title":"Fractional order image processing of medical images","volume":"6","author":"Bento","year":"2017","journal-title":"J. Appl. Nonlinear Dyn."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Val\u00e9rio, D., and S\u00e1 da Costa, J. (2013). An Introduction to Fractional Control, IET.","DOI":"10.1049\/PBCE091E"},{"key":"ref_8","unstructured":"Samko, S.G., Kilbas, A.A., and Marichev, O.I. (1993). Fractional Integrals and Derivatives, Gordon and Breach."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Ortigueira, M.D., and Val\u00e9rio, D. (2020). Fractional Signals and Systems, De Gruyter.","DOI":"10.1515\/9783110624588"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"2421","DOI":"10.1016\/S0165-1684(03)00194-4","article-title":"Fractional differentiation for edge detection","volume":"83","author":"Mathieu","year":"2003","journal-title":"Signal Process."},{"key":"ref_11","unstructured":"Chen, X., and Fei, X. (2012). Improving Edge-Detection Algorithm Based on Fractional Differential Approach, IPCSIT. Available online: http:\/\/www.ipcsit.com\/vol50\/048-ICIVC2012-S0064.pdf."},{"key":"ref_12","unstructured":"Tian, D., Wu, J., and Yang, Y. (June, January 31). A fractional-order edge detection operator for medical image structure feature extraction. Proceedings of the 26th Chinese Control and Decision Conference, CCDC, Changsha, China."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Yaacoub, C., and Zeid Daou, R.A. (2019, January 6\u20139). Fractional Order Sobel Edge Detector. Proceedings of the 2019 Ninth International Conference on Image Processing Theory, Tools and Applications (IPTA), Istanbul, Turkey.","DOI":"10.1109\/IPTA.2019.8936101"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"55","DOI":"10.4028\/www.scientific.net\/AMM.536-537.55","article-title":"A Fractional-Order Laplacian Operator for Image Edge Detection","volume":"536\u2013537","author":"Tian","year":"2014","journal-title":"Appl. Mech. Mater."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1016\/j.pbiomolbio.2018.03.002","article-title":"Physics of fractional imaging in biomedicine","volume":"140","author":"Sohail","year":"2018","journal-title":"Prog. Biophys. Mol. Biol."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Yu, Q., Vegh, V., Liu, F., and Turner, I. (2015). A Variable Order Fractional Differential-Based Texture Enhancement Algorithm with Application in Medical Imaging. PLoS ONE, 10.","DOI":"10.1371\/journal.pone.0132952"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Babbar, J., and Rathee, N. (2019, January 20\u201322). Satellite Image Analysis: A Review. Proceedings of the IEEE International Conference on Electronics, Communication and Computing Technologies (ICECCT), Coimbatore, India.","DOI":"10.1109\/ICECCT.2019.8869481"},{"key":"ref_18","first-page":"941","article-title":"A Review Article of Satellite Image Different Type Approach","volume":"6","author":"Dshmukh","year":"2017","journal-title":"Int. J. Sci. Res."},{"key":"ref_19","unstructured":"ESA (2020, March 31). Copernicus Open Access Hub. Available online: https:\/\/scihub.copernicus.eu\/."},{"key":"ref_20","unstructured":"Henriques, M. (2021, June 04). Results Repository. Available online: https:\/\/drive.google.com\/drive\/folders\/1GMeKvc3oqNWfzd4h-GyRwHT9yFJ_UDLP?usp=sharing."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1033","DOI":"10.1049\/iet-cta.2010.0332","article-title":"Introduction to single-input, single-output fractional control","volume":"5","year":"2011","journal-title":"IET Control Theory Appl."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Canny, J. (1986). A computational approach to edge detection. IEEE Trans. Pattern Anal. Mach. Intell., 679\u2013698.","DOI":"10.1109\/TPAMI.1986.4767851"},{"key":"ref_23","unstructured":"Fisher, R., Perkins, S., Walker, A., and Wolfart, E. (2020, July 30). Image Processing Learning Resources. Available online: http:\/\/homepages.inf.ed.ac.uk\/rbf\/HIPR2\/hipr_top.htm."},{"key":"ref_24","unstructured":"Roberts, L. (1963). Machine Perception of 3-D Solids. [Ph.D. Thesis, Massachusetts Institute of Technology]."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"612","DOI":"10.1117\/1.602105","article-title":"Comprehensive analysis of edge detection in color image processing","volume":"38","author":"Zhu","year":"1999","journal-title":"Opt. 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