{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,16]],"date-time":"2025-10-16T13:53:17Z","timestamp":1760622797348,"version":"3.41.0"},"reference-count":35,"publisher":"Association for Computing Machinery (ACM)","issue":"3","license":[{"start":{"date-parts":[[2010,6,1]],"date-time":"2010-06-01T00:00:00Z","timestamp":1275350400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Trans. Graph."],"published-print":{"date-parts":[[2010,6]]},"abstract":"<jats:p>\n            We introduce the use of fractional differentiation for simulating cloth deformations underwater. The proposed approach is able to achieve realistic underwater deformations without simulating the Eulerian body of water in which the cloth is immersed. Instead, we propose a particle-based cloth model where half-derivative viscoelastic elements are included for describing both the internal and external dynamics of the cloth. These elements model the cloth responses to fluid stresses and are also able to emulate the memory-laden behavior of particles in a viscous fluid. As a result, we obtain\n            <jats:italic>fractional clothes<\/jats:italic>\n            , which are able to correctly depict the dynamics of the immersed cloth interacting with the fluid even though the fluid is not simulated. The proposed approach produces realistic underwater cloth deformations and has obvious advantages in simplicity and speed of computation in comparison to volumetric fluid simulation approaches.\n          <\/jats:p>","DOI":"10.1145\/1805964.1805967","type":"journal-article","created":{"date-parts":[[2010,6,30]],"date-time":"2010-06-30T20:27:11Z","timestamp":1277929631000},"page":"1-9","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":18,"title":["Underwater cloth simulation with fractional derivatives"],"prefix":"10.1145","volume":"29","author":[{"given":"Oktar","family":"Ozgen","sequence":"first","affiliation":[{"name":"University of California, Merced"}]},{"given":"Marcelo","family":"Kallmann","sequence":"additional","affiliation":[{"name":"University of California, Merced"}]},{"given":"Lynnette Es","family":"Ramirez","sequence":"additional","affiliation":[{"name":"University of California, Merced"}]},{"given":"Carlos Fm","family":"Coimbra","sequence":"additional","affiliation":[{"name":"University of California, Merced"}]}],"member":"320","published-online":{"date-parts":[[2010,7,2]]},"reference":[{"key":"e_1_2_2_1_1","unstructured":"Baraff D. and Witkin A. 1997. 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Sur la r\u00e9sistance qu'oppose un liquide ind\u00e9fini en repos sans pesanteur au mouvement vari\u00e9 d'une sph\u00e8re solide qu'il mouille sur toute sa surface quand les vitesses restent bien continues et assez faibles pour que leurs carr\u00e9s et produits soient n\u00e9gligeables. C. R. Acad. 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