{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,7]],"date-time":"2026-07-07T12:11:16Z","timestamp":1783426276015,"version":"3.54.6"},"reference-count":38,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2017,12,22]],"date-time":"2017-12-22T00:00:00Z","timestamp":1513900800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>This work is aimed at investigating the role of resolution in fractal dimension map estimation, analyzing the role of the different surface spatial scales involved in the considered estimation process. The study is performed using a data set of actual Cosmo\/SkyMed Synthetic Aperture Radar (SAR) images relevant to two different areas, the region of Bidi in Burkina Faso and the city of Naples in Italy, acquired in stripmap and enhanced spotlight modes. The behavior of fractal dimension maps in the presence of areas with distinctive characteristics from the viewpoint of land-cover and surface features is discussed. Significant differences among the estimated maps are obtained in the presence of fine textural details, which significantly affect the fractal dimension estimation for the higher resolution spotlight images. The obtained results show that if we are interested in obtaining a reliable estimate of the fractal dimension of the observed natural scene, stripmap images should be chosen in view of both economic and computational considerations. In turn, the combination of fractal dimension maps obtained from stripmap and spotlight images can be used to identify areas on the scene presenting non-fractal behavior (e.g., urban areas). Along this guideline, a simple example of stripmap-spotlight data fusion is also presented.<\/jats:p>","DOI":"10.3390\/rs10010009","type":"journal-article","created":{"date-parts":[[2017,12,22]],"date-time":"2017-12-22T05:50:19Z","timestamp":1513921819000},"page":"9","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["The Role of Resolution in the Estimation of Fractal Dimension Maps From SAR Data"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4200-2584","authenticated-orcid":false,"given":"Gerardo","family":"Di Martino","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering and Information Technology, University of Naples Federico II, Via Claudio 21, 80125 Napoli, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Antonio","family":"Iodice","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Information Technology, University of Naples Federico II, Via Claudio 21, 80125 Napoli, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5299-1692","authenticated-orcid":false,"given":"Daniele","family":"Riccio","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Information Technology, University of Naples Federico II, Via Claudio 21, 80125 Napoli, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Giuseppe","family":"Ruello","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Information Technology, University of Naples Federico II, Via Claudio 21, 80125 Napoli, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ivana","family":"Zinno","sequence":"additional","affiliation":[{"name":"Institute for Electromagnetic Sensing of the Environment, Research National Council (CNR), Via Diocleziano 328, 80124 Napoli, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2017,12,22]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Mandelbrot, B.B. (1983). The Fractal Geometry of Nature, Freeman.","DOI":"10.1119\/1.13295"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Franceschetti, G., and Riccio, D. (2007). Scattering, Natural Surfaces and Fractals, Academic Press.","DOI":"10.1016\/B978-012265655-2\/50000-3"},{"key":"ref_3","unstructured":"Falconer, K. (1989). Fractal Geometry, Wiley."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Feder, J.S. (1988). Fractals, Plenum.","DOI":"10.1007\/978-1-4899-2124-6"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Turcotte, D.L. (1997). Fractals and Chaos in Geology and Geophysics, Cambridge University Press.","DOI":"10.1017\/CBO9781139174695"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"3480","DOI":"10.1109\/TGRS.2009.2022752","article-title":"Scale-dependent surface roughness behavior and its impact on empirical models for radar backscatter","volume":"47","author":"Campbell","year":"2009","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"2397","DOI":"10.1109\/36.789638","article-title":"Quantitative Roughness Characterization of Geological Surfaces and Implications for Radar Signature Analysis","volume":"37","author":"Dierking","year":"1999","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"32777","DOI":"10.1029\/2000JE001429","article-title":"The roughness of natural terrain: A planetary and remote sensing perspective","volume":"106","author":"Shepard","year":"2001","journal-title":"J. Geophys. Res."},{"key":"ref_9","first-page":"211","article-title":"Lava flow surface textures: SIR-B radar image texture, field observations, and terrain measurements","volume":"56","author":"Gaddis","year":"1990","journal-title":"Photogramm. Eng. Remote Sens."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"928","DOI":"10.1109\/36.298021","article-title":"Special problems in the estimation of power-law spectra as applied to topographical modeling","volume":"32","author":"Austin","year":"1994","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"2555","DOI":"10.1109\/TGRS.2013.2262770","article-title":"Equivalent number of scatterers for SAR speckle modeling","volume":"52","author":"Iodice","year":"2014","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"2055","DOI":"10.1109\/TGRS.2006.872152","article-title":"Titan, Fractals, and Filtering of Cassini Altimeter Data","volume":"44","author":"Franceschetti","year":"2006","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1109\/MSP.2002.1028352","article-title":"Stochastic fractal models for image processing","volume":"19","year":"2002","journal-title":"IEEE Signal Process. Mag."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1511","DOI":"10.1109\/5.241511","article-title":"Fractional Brownian Motion Models for Synthetic Aperture Radar Imagery Scene Segmentation","volume":"81","author":"Stewart","year":"1993","journal-title":"Proc. IEEE"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1572","DOI":"10.1109\/83.799885","article-title":"Extended Fractal Analysis for Texture Classification and Segmentation","volume":"8","author":"Kaplan","year":"1999","journal-title":"IEEE Trans. Image Process."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Jansing, E.D., Chenoweth, D.L., and Knecht, J. (1997, January 13). Feature detection in synthetic aperture radar images using fractal error. Proceedings of the IEEE Aerospace Conference, Aspen, CO, USA.","DOI":"10.1109\/AERO.1997.574413"},{"key":"ref_17","unstructured":"Jansing, E.D., Allen, B., and Chenoweth, D.L. (1997, January 18\u201321). Edge enhancement using the fractal error metric. Proceedings of the 1st International Conference on Engineering Design and Automation, Bangkok, Thailand."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"661","DOI":"10.1109\/TPAMI.1984.4767591","article-title":"Fractal-Based Description of Natural Scenes","volume":"6","author":"Pentland","year":"1984","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"704","DOI":"10.1109\/34.6779","article-title":"On the imaging of fractal surfaces","volume":"10","author":"Kube","year":"1988","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"380","DOI":"10.1109\/LGRS.2005.848531","article-title":"Is the optical image of a non-Lambertian fractal surface fractal?","volume":"2","author":"Korvin","year":"2005","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"3280","DOI":"10.1109\/TGRS.2010.2044661","article-title":"Imaging of Fractal Profiles","volume":"48","author":"Iodice","year":"2010","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"630","DOI":"10.1109\/TGRS.2011.2161997","article-title":"SAR Imaging of Fractal Surfaces","volume":"50","author":"Riccio","year":"2012","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"4292","DOI":"10.1109\/TGRS.2012.2228488","article-title":"Local Subpixel Coregistration of Interferometric Synthetic Aperture Radar Images Based on Fractal Models","volume":"51","author":"Danudirdjo","year":"2013","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1427","DOI":"10.1109\/TGRS.2014.2341254","article-title":"InSAR Image Regularization and DEM Error Correction with Fractal Surface Scattering Model","volume":"53","author":"Danudirdjo","year":"2015","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"4116","DOI":"10.1109\/TGRS.2015.2391191","article-title":"Anisotropic Phase Unwrapping for Synthetic Aperture Radar Interferometry","volume":"53","author":"Danudirdjo","year":"2015","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"3574","DOI":"10.1109\/TGRS.2016.2520309","article-title":"Scattering-Based Nonlocal Means SAR Despeckling","volume":"54","author":"Iodice","year":"2016","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"2131","DOI":"10.1109\/JSTARS.2016.2543303","article-title":"Scattering-Based SARBM3D","volume":"9","author":"Iodice","year":"2016","journal-title":"IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"1242","DOI":"10.1109\/JSTARS.2013.2248134","article-title":"Angle Independence Properties of Fractal Dimension Maps Estimated from SAR Data","volume":"6","author":"Iodice","year":"2013","journal-title":"IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens."},{"key":"ref_29","unstructured":"Di Martino, G., Iodice, A., Riccio, D., Ruello, G., and Zinno, I. (February, January 28). The effects of polarization on fractal dimension maps estimated from SAR data. Proceedings of the PolInSAR 2013 (ESA SP-713), Frascati, Italy."},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Di Martino, G., Iodice, A., Riccio, D., Ruello, G., and Zinno, I. (2011, January 11\u201313). Fractal Filtering Applied to SAR Images of Urban Areas. Proceedings of the Urban Remote Sensing Event JURSE, Munich, Germany.","DOI":"10.1109\/JURSE.2011.5764769"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"1408","DOI":"10.1109\/PROC.1969.7278","article-title":"High-Resolution Frequency-Wavenumber Spectrum Analysis","volume":"57","author":"Capon","year":"1969","journal-title":"Proc. IEEE"},{"key":"ref_32","unstructured":"Kay, S.M. (1999). Modern Spectral Analysis, Patience Hall."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1080\/01431161.2013.862605","article-title":"Effectiveness of high-resolution SAR for water resource management in low-income semi-arid countries","volume":"35","author":"Amitrano","year":"2014","journal-title":"Int. J. Remote Sens."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1109\/TGRS.2014.2318997","article-title":"A New Framework for SAR Multitemporal Data RGB Representation: Rationale and Products","volume":"53","author":"Amitrano","year":"2015","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"1596","DOI":"10.1109\/TGRS.2013.2252907","article-title":"Benchmarking Framework for SAR Despeckling","volume":"52","author":"Poderico","year":"2014","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_36","doi-asserted-by":"crossref","unstructured":"Di Martino, G., Poggi, G., Riccio, D., and Verdoliva, L. (2013, January 21\u201326). Effects of Despeckling on the Estimation of Fractal Dimension from SAR Images. Proceedings of the IEEE International Geoscience and Remote Sensing Symposium, Melbourne, Australia.","DOI":"10.1109\/IGARSS.2013.6723697"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"823","DOI":"10.1080\/014311698215748","article-title":"Multisensor image fusion in remote sensing: Concepts, methods and applications","volume":"19","author":"Pohl","year":"1998","journal-title":"Int. J. Remote Sens."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"1107","DOI":"10.1109\/36.193786","article-title":"SAR calibration: An overview","volume":"30","author":"Freeman","year":"1992","journal-title":"IEEE Trans. Geosci. Remote Sens."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/10\/1\/9\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T18:55:02Z","timestamp":1760208902000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/10\/1\/9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,12,22]]},"references-count":38,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2018,1]]}},"alternative-id":["rs10010009"],"URL":"https:\/\/doi.org\/10.3390\/rs10010009","relation":{},"ISSN":["2072-4292"],"issn-type":[{"value":"2072-4292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,12,22]]}}}