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Each MBGR shape is described by a collection of connected control circles organized as a graph. Each pair of connected circles generates a branch of the shape. The boundaries of the branches are designed using cubic B\u00e9zier curves which enable shape representation in a compact SVG format. Each circle is associated with a regularity parameter locally controlling the smoothness of the branch connections. In this way, we can manage shapes having both sharp corners and smooth boundaries. To illustrate the potential of the MBGR representation, we have created an online facility (\n            <jats:ext-link xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" ext-link-type=\"url\" xlink:href=\"https:\/\/mbgrg.github.io\/mbgrg\/\">https:\/\/mbgrg.github.io\/mbgrg\/<\/jats:ext-link>\n            ) where the user can create\/edit MBGR shapes automatically or interactively.\n          <\/jats:p>","DOI":"10.1145\/3691635","type":"journal-article","created":{"date-parts":[[2024,9,3]],"date-time":"2024-09-03T16:04:41Z","timestamp":1725379481000},"page":"1-25","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Generation and Editing of 2D Shapes Using a Branched Representation"],"prefix":"10.1145","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6953-9587","authenticated-orcid":false,"given":"Luis","family":"Alvarez","sequence":"first","affiliation":[{"name":"Universidad de Las Palmas de Gran Canaria., Las Palmas de G.C., Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6212-5317","authenticated-orcid":false,"given":"Agust\u00edn","family":"Trujillo","sequence":"additional","affiliation":[{"name":"Universidad de Las Palmas de Gran Canaria., Las Palmas de G.C., Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0571-9068","authenticated-orcid":false,"given":"Nelson","family":"Monz\u00f3n","sequence":"additional","affiliation":[{"name":"Universidad de Las Palmas de Gran Canaria., Las Palmas de G.C., Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6108-897X","authenticated-orcid":false,"given":"Jean-Michel","family":"Morel","sequence":"additional","affiliation":[{"name":"City University of Hong Kong, Hong Kong, Hong Kong"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2024,11,26]]},"reference":[{"key":"e_1_3_4_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-015-0582-z"},{"key":"e_1_3_4_3_2","doi-asserted-by":"publisher","DOI":"10.1162\/leon_a_01768"},{"key":"e_1_3_4_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0925-7721(01)00017-7"},{"key":"e_1_3_4_5_2","doi-asserted-by":"publisher","DOI":"10.1037\/h0054663"},{"key":"e_1_3_4_6_2","doi-asserted-by":"publisher","DOI":"10.1051\/cocv:2002069"},{"key":"e_1_3_4_7_2","first-page":"116","volume-title":"Proceedings of the IEEE Conference on Systems and Control (Miami, FL)","author":"Binford Thomas O.","year":"1971","unstructured":"Thomas O. 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