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The mean shift iterative algorithm (MSHi) was proposed in 2006, where the Shannon entropy was used as a stopping criterion. Later, it was introduced a theorem where this ensures, with a new stopping criterion, the convergence of the MSHi and determines what happens with the entropy at the limit of the segmentation process. The goal of this paper is carry out an analysis of the implications of this theorem and highlight the relation that were found from a physical point of view with image segmentation and the information theory. This last aspect being the novel part of this work.<\/jats:p>","DOI":"10.3233\/jifs-190030","type":"journal-article","created":{"date-parts":[[2019,6,14]],"date-time":"2019-06-14T15:45:28Z","timestamp":1560527128000},"page":"2835-2845","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":7,"title":["A vision from a physical point of view and the information theory on the image segmentation"],"prefix":"10.1177","volume":"37","author":[{"given":"Roberto","family":"Rodr\u00edguez","sequence":"first","affiliation":[{"name":"Instituto de Cibern\u00e1tica, Matem\u00e1tica y F\u00edsica (ICIMAF), Grupo de Procesamiento Digital de Se\u00f1ales, Habana, Cuba"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yasel","family":"Garc\u00e9s","sequence":"additional","affiliation":[{"name":"Instituto de Biotecnolog\u00eda, Universidad Nacional Aut\u00f3noma de M\u00e9xico (UNAM), Cuernavaca, Morelos, M\u00e9xico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Esley","family":"Torres","sequence":"additional","affiliation":[{"name":"Universidad Aut\u00f3noma del Estado de Morelos (UAEM), Centro de Investigaci\u00f3n en Ciencias, Instituto de Investigaci\u00f3n en Ciencias Ba sicas y Aplicadas, M\u00e9xico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Humberto","family":"Sossa","sequence":"additional","affiliation":[{"name":"Instituto Polite cnico Nacional (IPN), Centro de Investigaci\u00f3n en Computaci\u00f3n (CIC), M\u00e9xico"},{"name":"Tecnol\u00f3gico de Monterrey, Campus Guadalajara, Zapopan, Jalisco, M\u00e9xico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rub\u00e9n","family":"Tovar","sequence":"additional","affiliation":[{"name":"Instituto Polit\u00e9cnico Nacional (IPN), Unidad Profesional Interdisciplinaria en Ingenier\u00eda y Tecnolog\u00edas Avanzadas (UPIITA), M\u00e9xico"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2019,6,10]]},"reference":[{"key":"e_1_3_3_2_2","doi-asserted-by":"crossref","unstructured":"Rodr\u00edguezR. 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