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Motivated by this idea, we introduce two models for the representation of prostate shape in the axial plane of magnetic resonance images. In more detail, the models are two parametric closed curves of the plane. The analytic study of the models includes the geometric role of the parameters describing the curves, symmetries, invariants, special cases, elliptic Fourier descriptors, conditions for simple curves and area of the enclosed surfaces. The models were validated for prostate shapes by fitting the curves to prostate contours delineated by a radiologist and measuring the errors with the mean distance, the Hausdorff distance and the Dice similarity coefficient. Validation was also conducted by comparing our models with the deformed superellipse model used in literature. Our models are equivalent in fitting metrics to the deformed superellipse model; however, they have the advantage of a more straightforward formulation and they depend on fewer parameters, implying a reduced computational time for the fitting process. Due to the validation, our models may be applied for developing innovative and performing segmentation methods or improving existing ones.<\/jats:p>","DOI":"10.3390\/sym16060755","type":"journal-article","created":{"date-parts":[[2024,6,17]],"date-time":"2024-06-17T12:48:40Z","timestamp":1718628520000},"page":"755","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["New Parametric 2D Curves for Modeling Prostate Shape in Magnetic Resonance Images"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9123-4977","authenticated-orcid":false,"given":"Rosario","family":"Corso","sequence":"first","affiliation":[{"name":"Dipartimento di Matematica e Informatica, Universit\u00e0 degli Studi di Palermo, 90123 Palermo, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9290-6103","authenticated-orcid":false,"given":"Albert","family":"Comelli","sequence":"additional","affiliation":[{"name":"Ri.MED Foundation, 90133 Palermo, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2465-1185","authenticated-orcid":false,"given":"Giuseppe","family":"Salvaggio","sequence":"additional","affiliation":[{"name":"Department of Biomedicine, Neuroscience and Advanced Diagnostics, Section of Radiology, University Hospital \u201cPaolo Giaccone\u201d, 90127 Palermo, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5417-5584","authenticated-orcid":false,"given":"Domenico","family":"Tegolo","sequence":"additional","affiliation":[{"name":"Dipartimento di Matematica e Informatica, Universit\u00e0 degli Studi di Palermo, 90123 Palermo, Italy"},{"name":"Istituto di Biofisica, Consiglio Nazionale Delle Ricerche, 90145 Palermo, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,6,17]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1102\/1470-7330.2010.0004","article-title":"Ultrasound of the prostate","volume":"10","author":"Mitterberger","year":"2010","journal-title":"Cancer Imaging"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1080\/00325481.2015.1018799","article-title":"Benign prostatic hyperplasia and urinary symptoms: Evaluation and treatment","volume":"127","author":"Mobley","year":"2015","journal-title":"Postgrad. 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