Momentum‐preserving inversion alleviation for elastic material simulation
This paper proposes a novel method that enhances the optimization‐based elastic body solver. The proposed method tackles the element inversion problem, which is prevalent in the prediction‐projection approach for numerical simulation of elastic bodies. At the prediction stage, our method alleviates...
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Published in | Computer animation and virtual worlds Vol. 35; no. 3 |
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Main Authors | , , , , , |
Format | Journal Article |
Language | English |
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Abstract | This paper proposes a novel method that enhances the optimization‐based elastic body solver. The proposed method tackles the element inversion problem, which is prevalent in the prediction‐projection approach for numerical simulation of elastic bodies. At the prediction stage, our method alleviates inversions such that the subsequent projection solver can benefit in stability and efficiency. To prevent excessive suppression of predicted inertial motion when alleviating, we introduce a velocity decomposition method and adapt only the non‐rigid motion while preserving the rigid motion, that is, linear and angular momenta. Thanks to the respected inertial motion in the prediction stage, our method produces lively motions while keeping the entire simulation more stable. The experiments demonstrate that our alleviation method successfully stabilizes the simulation and improves the efficiency particularly when large deformations hamper the solver.
In this paper, we propose a novel method that enhances the prediction‐projection approach involved in the optimization‐based elastic body solver. At the prediction stage, our method alleviates inversions, allowing the subsequent projection solver to benefit from improved stability and efficiency. |
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AbstractList | Abstract This paper proposes a novel method that enhances the optimization‐based elastic body solver. The proposed method tackles the element inversion problem, which is prevalent in the prediction‐projection approach for numerical simulation of elastic bodies. At the prediction stage, our method alleviates inversions such that the subsequent projection solver can benefit in stability and efficiency. To prevent excessive suppression of predicted inertial motion when alleviating, we introduce a velocity decomposition method and adapt only the non‐rigid motion while preserving the rigid motion, that is, linear and angular momenta. Thanks to the respected inertial motion in the prediction stage, our method produces lively motions while keeping the entire simulation more stable. The experiments demonstrate that our alleviation method successfully stabilizes the simulation and improves the efficiency particularly when large deformations hamper the solver. This paper proposes a novel method that enhances the optimization‐based elastic body solver. The proposed method tackles the element inversion problem, which is prevalent in the prediction‐projection approach for numerical simulation of elastic bodies. At the prediction stage, our method alleviates inversions such that the subsequent projection solver can benefit in stability and efficiency. To prevent excessive suppression of predicted inertial motion when alleviating, we introduce a velocity decomposition method and adapt only the non‐rigid motion while preserving the rigid motion, that is, linear and angular momenta. Thanks to the respected inertial motion in the prediction stage, our method produces lively motions while keeping the entire simulation more stable. The experiments demonstrate that our alleviation method successfully stabilizes the simulation and improves the efficiency particularly when large deformations hamper the solver. In this paper, we propose a novel method that enhances the prediction‐projection approach involved in the optimization‐based elastic body solver. At the prediction stage, our method alleviates inversions, allowing the subsequent projection solver to benefit from improved stability and efficiency. This paper proposes a novel method that enhances the optimization‐based elastic body solver. The proposed method tackles the element inversion problem, which is prevalent in the prediction‐projection approach for numerical simulation of elastic bodies. At the prediction stage, our method alleviates inversions such that the subsequent projection solver can benefit in stability and efficiency. To prevent excessive suppression of predicted inertial motion when alleviating, we introduce a velocity decomposition method and adapt only the non‐rigid motion while preserving the rigid motion, that is, linear and angular momenta. Thanks to the respected inertial motion in the prediction stage, our method produces lively motions while keeping the entire simulation more stable. The experiments demonstrate that our alleviation method successfully stabilizes the simulation and improves the efficiency particularly when large deformations hamper the solver. |
Author | Kim, Seung‐wook Han, JungHyun Um, Kiwon Jeong, Heejo Lee, JaeHyun Kee, Min Hyung |
Author_xml | – sequence: 1 givenname: Heejo surname: Jeong fullname: Jeong, Heejo organization: Korea University – sequence: 2 givenname: Seung‐wook surname: Kim fullname: Kim, Seung‐wook organization: Hankuk University of Foreign Studies – sequence: 3 givenname: JaeHyun surname: Lee fullname: Lee, JaeHyun organization: Korea University – sequence: 4 givenname: Kiwon surname: Um fullname: Um, Kiwon organization: Telecom Paris, IP Paris – sequence: 5 givenname: Min Hyung surname: Kee fullname: Kee, Min Hyung organization: Korea University – sequence: 6 givenname: JungHyun orcidid: 0000-0002-1591-3502 surname: Han fullname: Han, JungHyun email: jhan@korea.ac.kr organization: Korea University |
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Snippet | This paper proposes a novel method that enhances the optimization‐based elastic body solver. The proposed method tackles the element inversion problem, which... Abstract This paper proposes a novel method that enhances the optimization‐based elastic body solver. The proposed method tackles the element inversion... |
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SubjectTerms | Computer Science Elastic bodies elasticity Graphics inversion Inversions optimization physically‐based simulation Solvers |
Title | Momentum‐preserving inversion alleviation for elastic material simulation |
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