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We exploit the fact that model reduction on large deformation models with\n            <jats:italic>linear<\/jats:italic>\n            materials (as commonly used in graphics) result in internal force models that are simply cubic polynomials in reduced coordinates. Coefficients of these polynomials can be precomputed, for efficient runtime evaluation. This allows simulation of nonlinear dynamics using fast implicit Newmark subspace integrators, with subspace integration costs independent of geometric complexity. We present two useful approaches for generating low-dimensional subspace bases: modal derivatives and an interactive sketching technique. Mass-scaled principal component analysis (mass-PCA) is suggested for dimensionality reduction. Finally, several examples are given from computer animation to illustrate high performance, including force-feedback haptic rendering of a complicated object undergoing large deformations.\n          <\/jats:p>","DOI":"10.1145\/1073204.1073300","type":"journal-article","created":{"date-parts":[[2005,11,7]],"date-time":"2005-11-07T16:00:45Z","timestamp":1131379245000},"page":"982-990","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":330,"title":["Real-Time subspace integration for St. Venant-Kirchhoff deformable models"],"prefix":"10.1145","volume":"24","author":[{"given":"Jernej","family":"Barbi\u010d","sequence":"first","affiliation":[{"name":"Carnegie Mellon University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Doug L.","family":"James","sequence":"additional","affiliation":[{"name":"Carnegie Mellon University"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2005,7]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.2514\/3.7539"},{"key":"e_1_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.1145\/142920.134084"},{"key":"e_1_2_2_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/280814.280821"},{"key":"e_1_2_2_4_1","unstructured":"Basdogan C. 2001. 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