{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:15:07Z","timestamp":1760235307252,"version":"build-2065373602"},"reference-count":29,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2021,8,9]],"date-time":"2021-08-09T00:00:00Z","timestamp":1628467200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100012740","name":"Gruppo Nazionale per l'Analisi Matematica, la Probabilit\u00e0 e le loro Applicazioni","doi-asserted-by":"publisher","award":["none"],"award-info":[{"award-number":["none"]}],"id":[{"id":"10.13039\/100012740","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100010607","name":"Universit\u00e0 degli Studi di Perugia","doi-asserted-by":"publisher","award":["none"],"award-info":[{"award-number":["none"]}],"id":[{"id":"10.13039\/501100010607","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004486","name":"Fondazione Cassa di Risparmio di Perugia","doi-asserted-by":"publisher","award":["none"],"award-info":[{"award-number":["none"]}],"id":[{"id":"10.13039\/501100004486","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, we establish a procedure for the enhancement of cone-beam computed tomography (CBCT) dental-maxillofacial images; this can be useful in order to face the problem of rapid prototyping, i.e., to generate a 3D printable file of a dental prosthesis. In the proposed procedure, a crucial role is played by the so-called sampling Kantorovich (SK) algorithm for the reconstruction and image noise reduction. For the latter algorithm, it has already been shown to be effective in the reconstruction and enhancement of real-world images affected by noise in connection to engineering and biomedical problems. The SK algorithm is given by an optimized implementation of the well-known sampling Kantorovich operators and their approximation properties. A comparison between CBTC images processed by the SK algorithm and other well-known methods of digital image processing known in the literature is also given. We finally remark that the above-treated topic has a strong multidisciplinary nature and involves concrete biomedical applications of mathematics. In this type of research, theoretical and experimental disciplines merge in order to find solutions to real-world problems.<\/jats:p>","DOI":"10.3390\/sym13081450","type":"journal-article","created":{"date-parts":[[2021,8,9]],"date-time":"2021-08-09T05:17:06Z","timestamp":1628486226000},"page":"1450","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Enhancement of Cone-Beam Computed Tomography Dental-Maxillofacial Images by Sampling Kantorovich Algorithm"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8834-8877","authenticated-orcid":false,"given":"Danilo","family":"Costarelli","sequence":"first","affiliation":[{"name":"Department of Mathematics and Computer Science, University of Perugia, Via Vanvitelli, 06123 Perugia, Italy"}]},{"given":"Pietro","family":"Pozzilli","sequence":"additional","affiliation":[{"name":"Santa Maria della Misericordia Hospital of Perugia, Piazzale Giorgio Menghini, 06129 Perugia, Italy"}]},{"given":"Marco","family":"Seracini","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, University of Perugia, Via Vanvitelli, 06123 Perugia, Italy"}]},{"given":"Gianluca","family":"Vinti","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, University of Perugia, Via Vanvitelli, 06123 Perugia, Italy"}]}],"member":"1968","published-online":{"date-parts":[[2021,8,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1007\/BF03549462","article-title":"Kantorovich-Type Generalized Sampling Series in the Setting of Orlicz Spaces","volume":"6","author":"Bardaro","year":"2007","journal-title":"Sampl. 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