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This model predicts global, fine-scale wrinkling at frequencies much higher than the resolution of the coarse mesh; moreover, it is grounded in the geometric analysis of elasticity, and does not require manual guidance, a corpus of training examples, nor tuning of ad hoc parameters. We first approximate the coarse shape of the shell using tension field theory, in which material forces do not resist compression. We then augment this base mesh with wrinkles, parameterized by an amplitude and phase field that we solve for over the base mesh, which together characterize the geometry of the wrinkles. We validate our approach against both physical experiments and numerical simulations, and we show that our algorithm produces wrinkles qualitatively similar to those predicted by traditional shell solvers requiring orders of magnitude more degrees of freedom.<\/jats:p>","DOI":"10.1145\/3462758","type":"journal-article","created":{"date-parts":[[2021,8,21]],"date-time":"2021-08-21T04:36:56Z","timestamp":1629520616000},"page":"1-32","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":28,"title":["Fine Wrinkling on Coarsely Meshed Thin Shells"],"prefix":"10.1145","volume":"40","author":[{"given":"Zhen","family":"Chen","sequence":"first","affiliation":[{"name":"University of Texas at Austin, Austin, Texas, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hsiao-Yu","family":"Chen","sequence":"additional","affiliation":[{"name":"University of Texas at Austin, Austin, Texas, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Danny M.","family":"Kaufman","sequence":"additional","affiliation":[{"name":"Adobe Research, Seattle, Washington, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M\u00e9lina","family":"Skouras","sequence":"additional","affiliation":[{"name":"Universit\u00e9 Grenoble Alpes, Inria, CNRS, Grenoble INP, LJK, Montbonnot Cedex, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Etienne","family":"Vouga","sequence":"additional","affiliation":[{"name":"University of Texas at Austin, Austin, Texas, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2021,8,20]]},"reference":[{"key":"e_1_3_3_2_1","doi-asserted-by":"publisher","DOI":"10.1038\/ncomms15809"},{"key":"e_1_3_3_3_1","doi-asserted-by":"publisher","DOI":"10.1137\/S0036139903438478"},{"key":"e_1_3_3_4_1","doi-asserted-by":"publisher","DOI":"10.1145\/280814.280821"},{"key":"e_1_3_3_5_1","doi-asserted-by":"publisher","DOI":"10.1145\/1276377.1276439"},{"key":"e_1_3_3_6_1","first-page":"227","volume-title":"Proceedings of the 4th Eurographics Symposium on Geometry Processing","author":"Bergou Mikl\u00f3s","year":"2006","unstructured":"Mikl\u00f3s Bergou, Max Wardetzky, David Harmon, Denis Zorin, and Eitan Grinspun. 2006. 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