Multi-Resolution Cloth Simulation

We propose a novel, multi‐resolution method to efficiently perform large‐scale cloth simulation. Our cloth simulation method is based on a triangle‐based energy model constructed from a cloth mesh. We identify that solutions of the linear system of cloth simulation are smooth in certain regions of t...

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Published in:	Computer graphics forum Vol. 29; no. 7; pp. 2225 - 2232
Main Authors:	Lee, Yongjoon, Yoon, Sung-eui, Oh, Seungwoo, Kim, Duksu, Choi, Sunghee
Format:	Journal Article
Language:	English
Published:	Oxford, UK Blackwell Publishing Ltd 01.09.2010
Subjects:	Cloth Computation Computer graphics Computer simulation Finite element method Geometry I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling-Physically based modeling Linear systems Mathematical models Shear Simulation Solution space Studies Textiles
ISSN:	0167-7055, 1467-8659
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Abstract	We propose a novel, multi‐resolution method to efficiently perform large‐scale cloth simulation. Our cloth simulation method is based on a triangle‐based energy model constructed from a cloth mesh. We identify that solutions of the linear system of cloth simulation are smooth in certain regions of the cloth mesh and solve the linear system on those regions in a reduced solution space. Then we reconstruct the original solutions by performing a simple interpolation from solutions computed in the reduced space. In order to identify regions where solutions are smooth, we propose simplification metrics that consider stretching, shear, and bending forces, as well as geometric collisions. Our multi‐resolution method can be applied to many existing cloth simulation methods, since our method works on a general linear system. In order to demonstrate benefits of our method, we apply our method into four large‐scale cloth benchmarks that consist of tens or hundreds of thousands of triangles. Because of the reduced computations, we achieve a performance improvement by a factor of up to one order of magnitude, with a little loss of simulation quality.
AbstractList	AbstractWe propose a novel, multi-resolution method to efficiently perform large-scale cloth simulation. Our cloth simulation method is based on a triangle-based energy model constructed from a cloth mesh. We identify that solutions of the linear system of cloth simulation are smooth in certain regions of the cloth mesh and solve the linear system on those regions in a reduced solution space. Then we reconstruct the original solutions by performing a simple interpolation from solutions computed in the reduced space. In order to identify regions where solutions are smooth, we propose simplification metrics that consider stretching, shear, and bending forces, as well as geometric collisions. Our multi-resolution method can be applied to many existing cloth simulation methods, since our method works on a general linear system. In order to demonstrate benefits of our method, we apply our method into four large-scale cloth benchmarks that consist of tens or hundreds of thousands of triangles. Because of the reduced computations, we achieve a performance improvement by a factor of up to one order of magnitude, with a little loss of simulation quality. We propose a novel, multi-resolution method to efficiently perform large-scale cloth simulation. Our cloth simulation method is based on a triangle-based energy model constructed from a cloth mesh. We identify that solutions of the linear system of cloth simulation are smooth in certain regions of the cloth mesh and solve the linear system on those regions in a reduced solution space. Then we reconstruct the original solutions by performing a simple interpolation from solutions computed in the reduced space. In order to identify regions where solutions are smooth, we propose simplification metrics that consider stretching, shear, and bending forces, as well as geometric collisions. Our multi-resolution method can be applied to many existing cloth simulation methods, since our method works on a general linear system. In order to demonstrate benefits of our method, we apply our method into four large-scale cloth benchmarks that consist of tens or hundreds of thousands of triangles. Because of the reduced computations, we achieve a performance improvement by a factor of up to one order of magnitude, with a little loss of simulation quality.
Author	Choi, Sunghee Lee, Yongjoon Kim, Duksu Yoon, Sung-eui Oh, Seungwoo
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References_xml	– reference: Zhang D., Yuen M. M.-F.: Cloth simulation using multilevel meshes. Computers & Graphics 25, 3 (2001), 383-389. 2. – reference: Hestenes M. R., Stiefel E.: Methods of conjugate gradients for folving linear systems. Journal of Research of the National Bureau of Standards 49, 6 (1952), 409-436. 3. – reference: Losasso F., Gibou F., Fedkiw R.: Simulating water and smoke with an octree data structure. ACM Trans. on Graphics 23, 3 (2004), 457-462. 2. – reference: Oh S., Noh J., Wohn K.: A physically faithful multigrid method for fast cloth simulation. Journal of Visualization and Computer Animation 19, 3-4 (2008), 479-492. 2, 5. – reference: Choi K.-J., Ko H.-S.: Research problems in clothing simulation. Computer-Aided Design 37, 6 (2005), 585-592. 2. – reference: An S. S., Kim T., James D. L.: Optimizing cubature for efficient integration of subspace deformations. ACM Trans, on Graphics 27, 5 (2008), 165. 2. – reference: Kim D., Heo J.-P., Huh J., Kim J., Yoon S.-E.: HPCCD: Hybrid parallel continuous collision detection. Computer Graphics Forum (Pacific Graphics) 28, 7 (2009). 1, 6. – reference: Govindaraju N., Knott D., Jain N., Kabal I., Tamstorf R., Gayle R., Lin M., Manocha D.: Collision detection between deformable models using chromatic decomposition. ACM Trans. on Graphics 24, 3 (2005), 991-999. 1. – reference: Bolz J., Farmer I., Grinspun E., Schröder P.: Sparse matrix solvers on the gpu: conjugate gradients and multi-grid. ACM Trans. on Graphics 22, 3 (2003), 917-924. 8. – reference: Agarwala A.: Efficient gradient-domain compositing using quadtrees. ACM Trans. on Graphics 26, 3 (2007), 94. 2. – reference: Goldenthal R., Harmon D., Fattal R., Bercovier M., Grinspun E.: Efficient simulation of inextensible cloth. ACM Trans. on Graphics 26, 3 (2007), 49. 1, 2. – reference: Wesseling P.: An Introduction to Multigrid Methods. John Wiley & Sons, Chichester , 1992. 6, 7. – volume: 23 start-page: 457 issue: 3 year: 2004 end-page: 462 article-title: Simulating water and smoke with an octree data structure publication-title: ACM Trans. on Graphics – start-page: 604 year: 2002 end-page: 611 – volume: 26 start-page: 94 issue: 3 year: 2007 article-title: Efficient gradient‐domain compositing using quadtrees publication-title: ACM Trans. on Graphics – volume: 19 start-page: 479 issue: 3–4 year: 2008 end-page: 492 article-title: A physically faithful multigrid method for fast cloth simulation publication-title: Journal of Visualization and Computer Animation – volume: 49 start-page: 409 issue: 6 year: 1952 end-page: 436 article-title: Methods of conjugate gradients for folving linear systems publication-title: Journal of Research of the National Bureau of Standards – start-page: 136 year: 2004 end-page: 146 – start-page: 594 year: 2002 end-page: 603 – year: 2003 – start-page: 365 year: 1994 end-page: 372 – volume: 37 start-page: 585 issue: 6 year: 2005 end-page: 592 article-title: Research problems in clothing simulation publication-title: Computer-Aided Design – year: 1992 – year: 1994 – year: 2010 – start-page: 13 year: 2008 end-page: 14 – start-page: 243 year: 2005 end-page: 252 – start-page: 43 year: 1998 end-page: 54 – volume: 26 start-page: 49 issue: 3 year: 2007 article-title: Efficient simulation of inextensible cloth publication-title: ACM Trans. on Graphics – volume: 24 start-page: 991 issue: 3 year: 2005 end-page: 999 article-title: Collision detection between deformable models using chromatic decomposition publication-title: ACM Trans. on Graphics – start-page: 1 year: 2010 end-page: 8 – start-page: 31 year: 1996 end-page: 45 – start-page: 147 year: 1996 end-page: 154 – start-page: 281 year: 2002 end-page: 290 – year: 1978 – volume: 22 start-page: 917 issue: 3 year: 2003 end-page: 924 article-title: Sparse matrix solvers on the gpu: conjugate gradients and multi‐grid publication-title: ACM Trans. on Graphics – volume: 27 start-page: 165 issue: 5 year: 2008 article-title: Optimizing cubature for efficient integration of subspace deformations publication-title: ACM Trans, on Graphics – volume: 28 issue: 7 year: 2009 article-title: HPCCD: Hybrid parallel continuous collision detection publication-title: Computer Graphics Forum (Pacific Graphics) – start-page: 53 year: 2006 end-page: 62 – volume: 25 start-page: 383 issue: 3 year: 2001 end-page: 389 article-title: Cloth simulation using multilevel meshes publication-title: Computers & Graphics – ident: e_1_2_9_11_2 doi: 10.1145/1276377.1276438 – ident: e_1_2_9_21_2 – ident: e_1_2_9_24_2 – ident: e_1_2_9_29_2 doi: 10.1016/S0097-8493(01)00062-0 – volume: 28 issue: 7 year: 2009 ident: e_1_2_9_18_2 article-title: HPCCD: Hybrid parallel continuous collision detection publication-title: Computer Graphics Forum (Pacific Graphics) – ident: e_1_2_9_3_2 doi: 10.1145/1409060.1409118 – ident: e_1_2_9_4_2 doi: 10.1145/566654.566623 – ident: e_1_2_9_27_2 doi: 10.1145/1778765.1778844 – ident: e_1_2_9_19_2 doi: 10.1145/1015706.1015745 – ident: e_1_2_9_10_2 doi: 10.1145/1833349.1778843 – ident: e_1_2_9_15_2 – ident: e_1_2_9_23_2 – ident: e_1_2_9_17_2 doi: 10.6028/jres.049.044 – ident: e_1_2_9_5_2 doi: 10.1145/882262.882364 – ident: e_1_2_9_6_2 doi: 10.1145/192161.192259 – ident: e_1_2_9_12_2 doi: 10.1145/1073204.1073301 – ident: e_1_2_9_14_2 – ident: e_1_2_9_9_2 doi: 10.1016/j.cad.2004.11.002 – ident: e_1_2_9_13_2 doi: 10.1145/566654.566578 – ident: e_1_2_9_25_2 – volume: 19 start-page: 479 issue: 3 year: 2008 ident: e_1_2_9_22_2 article-title: A physically faithful multigrid method for fast cloth simulation publication-title: Journal of Visualization and Computer Animation doi: 10.1002/cav.255 – ident: e_1_2_9_16_2 doi: 10.1007/978-3-7091-7486-9_3 – ident: e_1_2_9_8_2 doi: 10.1145/566654.566624 – ident: e_1_2_9_7_2 – ident: e_1_2_9_28_2 doi: 10.1145/1057432.1057450 – volume-title: An Introduction to Multigrid Methods year: 1992 ident: e_1_2_9_26_2 – volume-title: Smooth subdivision for surfaces based on triangles year: 1978 ident: e_1_2_9_20_2 – ident: e_1_2_9_2_2 doi: 10.1145/1276377.1276495
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Snippet	We propose a novel, multi‐resolution method to efficiently perform large‐scale cloth simulation. Our cloth simulation method is based on a triangle‐based... We propose a novel, multi-resolution method to efficiently perform large-scale cloth simulation. Our cloth simulation method is based on a triangle-based... AbstractWe propose a novel, multi-resolution method to efficiently perform large-scale cloth simulation. Our cloth simulation method is based on a...
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SubjectTerms	Cloth Computation Computer graphics Computer simulation Finite element method Geometry I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling-Physically based modeling Linear systems Mathematical models Shear Simulation Solution space Studies Textiles
Title	Multi-Resolution Cloth Simulation
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