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Award ID contains: 2132280

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  1. ; ; (, ACM)
    Free, publicly-accessible full text available July 26, 2026
  2. ; ; ; ; (, Computer Methods in Applied Mechanics and Engineering)
    Free, publicly-accessible full text available March 1, 2026
  3. ; ; ; (, ACM)
    Free, publicly-accessible full text available December 3, 2025
  4. ; ; ; ; ; ; ; (, npj Digital Medicine)
    Free, publicly-accessible full text available December 1, 2025
  5. ; ; (, ACM)
    Full Text Available 
  6. ; ; ; ; ; (, ACM)
    Full Text Available 
  7. ; (, Proceedings of the ACM on computer graphics and interactive techniques)
    Ye, Yuting; Wang Huamin (Ed.)
    We analyze a wide class of penalty energies used for contact response through the lens of a reduced frame. Applying our analysis to both spring-based and barrier-based energies, we show that we can obtain closed-form, analytic eigensystems that can be used to guarantee positive semidefiniteness in implicit solvers. Our approach is both faster than direct numerical methods, and more robust than approximate methods such as Gauss-Newton. Over the course of our analysis, we investigate physical interpretations for two separate notions of length. Finally, we showcase the stability of our analysis on challenging strand, cloth, and volume scenarios with large timesteps on the order of 1/40 s. 
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    Accepted Manuscript Full Text Available
  8. ; (, Proceedings of the ACM on computer graphics and interactive techniques)
    Ye, Yuting; Wang Huamin (Ed.)
    Angle-based energies appear in numerous physics-based simulation models, including thin-shell bending and isotropic elastic strands. We present a generic analysis of these energies that allows us to analytically filter the negative eigenvalues of the second derivative (Hessian), which is critical for stable, implicit time integration. While these energies are usually formulated in terms of angles and positions, we propose an abstract edge stencil that succinctly parameterizes the edge deformation, and allows us to derive generic, closed-form analytical expressions for the energy eigensystems. The resultant eigenvectors have straightforward geometric interpretations. We demonstrate that our method is readily applicable to a variety of 2D and 3D angle-based elastic energies, including both cloth and strands, and is up to 7x faster than numerical eigendecomposition. 
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    Accepted Manuscript Full Text Available
  9. ; ; ; ; (, Proceedings of the ACM on computer graphics and interactive techniques)
    Ye, Yuting; Wang Huamin (Ed.)
    We present an isotropic, hyperelastic model specifically designed for the efficient simulation of tightly coiled hairs whose curl radii approach 5 mm. Our model is robust to large bends and torsions, even when they appear at the scale of the strand discretization. The terms of our model are consistently quadratic with respect to their primary variables, do not require per-edge frames or any parallel transport operators, and can efficiently take large timesteps on the order of 1/30 of a second. Additionally, we show that it is possible to obtain fast, closed-form eigensystems for all the terms in the energy. Our eigenanalysis is sufficiently generic that it generalizes to other models. Our entirely vertex-based formulation integrates naturally with existing finite element codes, and we demonstrate its efficiency and robustness in a variety of scenarios. 
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    Accepted Manuscript Full Text Available