{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,16]],"date-time":"2026-05-16T16:17:43Z","timestamp":1778948263375,"version":"3.51.4"},"reference-count":25,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2017,10,10]],"date-time":"2017-10-10T00:00:00Z","timestamp":1507593600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Erasmus+ Programme (KA107)","award":["2015-1-ES01-KA107-015460"],"award-info":[{"award-number":["2015-1-ES01-KA107-015460"]}]},{"name":"ARTeMISat-2: Advanced Processing of Remote Sensing Data for Monitoring and Sustainable Management of Marine and Terrestrial Resources in Vulnerable Ecosystems","award":["CTM2016-77733-R"],"award-info":[{"award-number":["CTM2016-77733-R"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The Fractal Dimension (FD) of an image defines the roughness using a real number which is highly associated with the human perception of surface roughness. It has been applied successfully for many computer vision applications such as texture analysis, segmentation and classification. Several techniques can be found in literature to estimate FD. One such technique is Differential Box Counting (DBC). Its performance is influenced by many parameters. In particular, the box height is directly related to the gray-level variations over image grid, which badly affects the performance of DBC. In this work, a new method for estimating box height is proposed without changing the other parameters of DBC. The proposed box height has been determined empirically and depends only on the image size. All the experiments have been performed on simulated Fractal Brownian Motion (FBM) Database and Brodatz Database. It has been proved experimentally that the proposed box height allow to improve the performance of DBC, Shifting DBC, Improved DBC and Improved Triangle DBC, which are closer to actual FD values of the simulated FBM images.<\/jats:p>","DOI":"10.3390\/e19100534","type":"journal-article","created":{"date-parts":[[2017,10,10]],"date-time":"2017-10-10T10:34:29Z","timestamp":1507631669000},"page":"534","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":30,"title":["An Approximated Box Height for Differential-Box-Counting Method to Estimate Fractal Dimensions of Gray-Scale Images"],"prefix":"10.3390","volume":"19","author":[{"given":"Chinmaya","family":"Panigrahy","sequence":"first","affiliation":[{"name":"PDPM Indian Institute of Information Technology, Design and Manufacturing, Jabalpur 482005, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6848-481X","authenticated-orcid":false,"given":"Angel","family":"Garcia-Pedrero","sequence":"additional","affiliation":[{"name":"Center for Biomedical Technology, Universidad Polit\u00e9cnica de Madrid, Campus de Montegancedo, 28233 Pozuelo de Alarc\u00f3n, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ayan","family":"Seal","sequence":"additional","affiliation":[{"name":"PDPM Indian Institute of Information Technology, Design and Manufacturing, Jabalpur 482005, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4542-2501","authenticated-orcid":false,"given":"Dionisio","family":"Rodr\u00edguez-Esparrag\u00f3n","sequence":"additional","affiliation":[{"name":"Instituto de Oceanograf\u00eda y Cambio Global, IOCAG, Campus de Tafira, Edificios de Telecomunicaciones, 35017 Las Palmas, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nihar","family":"Mahato","sequence":"additional","affiliation":[{"name":"PDPM Indian Institute of Information Technology, Design and Manufacturing, Jabalpur 482005, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0804-9293","authenticated-orcid":false,"given":"Consuelo","family":"Gonzalo-Mart\u00edn","sequence":"additional","affiliation":[{"name":"Center for Biomedical Technology, Universidad Polit\u00e9cnica de Madrid, Campus de Montegancedo, 28233 Pozuelo de Alarc\u00f3n, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,10,10]]},"reference":[{"key":"ref_1","unstructured":"Mandelbrot, B.B. 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