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Graph."],"published-print":{"date-parts":[[2010,12]]},"abstract":"<jats:p>In this paper we describe a fast strain-limiting method that allows stiff, incompliant materials to be simulated efficiently. Unlike prior approaches, which act on springs or individual strain components, this method acts on the strain tensors in a coordinate-invariant fashion allowing isotropic behavior. Our method applies to both two-and three-dimensional strains, and only requires computing the singular value decomposition of the deformation gradient, either a small 2x2 or 3x3 matrix, for each element. We demonstrate its use with triangular and tetrahedral linear-basis elements. For triangulated surfaces in three-dimensional space, we also describe a complementary edge-angle-limiting method to limit out-of-plane bending. All of the limits are enforced through an iterative, non-linear, Gauss-Seidel-like constraint procedure. To accelerate convergence, we propose a novel multi-resolution algorithm that enforces fitted limits at each level of a non-conforming hierarchy. Compared with other constraint-based techniques, our isotropic multi-resolution strain-limiting method is straightforward to implement, efficient to use, and applicable to a wide range of shell and solid materials.<\/jats:p>","DOI":"10.1145\/1882261.1866182","type":"journal-article","created":{"date-parts":[[2010,12,1]],"date-time":"2010-12-01T20:18:10Z","timestamp":1291234690000},"page":"1-10","update-policy":"https:\/\/linproxy.fan.workers.dev:443\/https\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":61,"title":["Multi-resolution isotropic strain limiting"],"prefix":"10.1145","volume":"29","author":[{"given":"Huamin","family":"Wang","sequence":"first","affiliation":[{"name":"University of California, Berkeley"}]},{"given":"James","family":"O'Brien","sequence":"additional","affiliation":[{"name":"University of California, Berkeley"}]},{"given":"Ravi","family":"Ramamoorthi","sequence":"additional","affiliation":[{"name":"University of California, Berkeley"}]}],"member":"320","published-online":{"date-parts":[[2010,12,15]]},"reference":[{"key":"e_1_2_2_1_1","volume-title":"Proc. of SCA","author":"Bridson R.","year":"2003","unstructured":"Bridson , R. , Marino , S. , and Fedkiw , R . 2003. 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