{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:56:12Z","timestamp":1760237772062,"version":"build-2065373602"},"reference-count":26,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2020,6,16]],"date-time":"2020-06-16T00:00:00Z","timestamp":1592265600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The superformula generates curves called Gielis curves, which depend on a small number of input parameters. Recovering parameters generating a curve that adapts to a set of points is a non-trivial task, thus methods to accomplish it are still being developed. These curves can represent a great variety of forms, such as living organisms, objects and geometric shapes. In this work we propose a method that uses a genetic algorithm to minimize a combination of three objectives functions: Euclidean distances from the sample points to the curve, from the curve to the sample points and the curve length. Curves generated with the parameters obtained by this method adjust better to real curves in relation to the state of art, according to observational and numeric comparisons.<\/jats:p>","DOI":"10.3390\/sym12061016","type":"journal-article","created":{"date-parts":[[2020,6,16]],"date-time":"2020-06-16T13:20:43Z","timestamp":1592313643000},"page":"1016","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A New Objective Function for the Recovery of Gielis Curves"],"prefix":"10.3390","volume":"12","author":[{"given":"Alejandro Marcelo","family":"Arce","sequence":"first","affiliation":[{"name":"Facultad Polit\u00e9cnica, Universidad Nacional de Asunci\u00f3n, San Lorenzo 2160, Paraguay"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gabriel Giovanni","family":"Caroni","sequence":"additional","affiliation":[{"name":"Facultad Polit\u00e9cnica, Universidad Nacional de Asunci\u00f3n, San Lorenzo 2160, Paraguay"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9766-4182","authenticated-orcid":false,"given":"Jos\u00e9 Luis","family":"V\u00e1zquez Noguera","sequence":"additional","affiliation":[{"name":"Facultad Polit\u00e9cnica, Universidad Nacional de Asunci\u00f3n, San Lorenzo 2160, Paraguay"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2479-9876","authenticated-orcid":false,"given":"Diego P.","family":"Pinto-Roa","sequence":"additional","affiliation":[{"name":"Facultad Polit\u00e9cnica, Universidad Nacional de Asunci\u00f3n, San Lorenzo 2160, Paraguay"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1790-2559","authenticated-orcid":false,"given":"Horacio","family":"Legal-Ayala","sequence":"additional","affiliation":[{"name":"Facultad Polit\u00e9cnica, Universidad Nacional de Asunci\u00f3n, San Lorenzo 2160, Paraguay"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sebasti\u00e1n A.","family":"Grillo","sequence":"additional","affiliation":[{"name":"Faculty of Science and Technology, Universidad Autonoma de Asunci\u00f3n, Asunci\u00f3n 1255, Paraguay"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,6,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"68","DOI":"10.1021\/acsphotonics.5b00463","article-title":"Inverse Design of Metal Nanoparticles\u2019 Morphology","volume":"3","author":"Forestiere","year":"2016","journal-title":"ACS Photonics"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"2626","DOI":"10.1364\/JOSAB.33.002626","article-title":"Plasmonic properties and energy flow in rounded hexahedral and octahedral nanoparticles","volume":"33","author":"Tzarouchis","year":"2016","journal-title":"J. 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