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Graph."],"published-print":{"date-parts":[[2020,12,31]]},"abstract":"<jats:p>\n            We introduce an algorithm to convert a self-intersection free, orientable, and manifold triangle mesh\n            <jats:italic>T<\/jats:italic>\n            into a\n            <jats:italic>generalized prismatic shell<\/jats:italic>\n            equipped with a bijective projection operator to map\n            <jats:italic>T<\/jats:italic>\n            to a class of discrete surfaces contained within the shell whose normals satisfy a simple local condition. Properties can be robustly and efficiently transferred between these surfaces using the prismatic layer as a common parametrization domain.\n          <\/jats:p>\n          <jats:p>The combination of the prismatic shell construction and corresponding projection operator is a robust building block readily usable in many downstream applications, including the solution of PDEs, displacement maps synthesis, Boolean operations, tetrahedral meshing, geometric textures, and nested cages.<\/jats:p>","DOI":"10.1145\/3414685.3417769","type":"journal-article","created":{"date-parts":[[2020,11,27]],"date-time":"2020-11-27T21:51:05Z","timestamp":1606513865000},"page":"1-18","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":41,"title":["Bijective projection in a shell"],"prefix":"10.1145","volume":"39","author":[{"given":"Zhongshi","family":"Jiang","sequence":"first","affiliation":[{"name":"New York University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Teseo","family":"Schneider","sequence":"additional","affiliation":[{"name":"New York University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Denis","family":"Zorin","sequence":"additional","affiliation":[{"name":"New York University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Daniele","family":"Panozzo","sequence":"additional","affiliation":[{"name":"New York University"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"320","published-online":{"date-parts":[[2020,11,27]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1145\/3072959.3073615"},{"key":"e_1_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.1145\/2816795.2818099"},{"key":"e_1_2_2_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/2980179.2982412"},{"key":"e_1_2_2_4_1","doi-asserted-by":"publisher","DOI":"10.1145\/2601097.2601158"},{"key":"e_1_2_2_5_1","doi-asserted-by":"publisher","DOI":"10.1145\/2766921"},{"key":"e_1_2_2_6_1","volume-title":"Olivier Devillers, and Martin Isenburg.","author":"Alliez Pierre","year":"2003","unstructured":"Pierre Alliez , Eric Colin De Verdire , Olivier Devillers, and Martin Isenburg. 2003 . 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