Progressing Level-of-Detail Animation of Volumetric Elastodynamics
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909793309949952 |
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| author | Zhang, Jiayi Eris James, Doug L. Kaufman, Danny M. |
| author_facet | Zhang, Jiayi Eris James, Doug L. Kaufman, Danny M. |
| contents | We extend the progressive dynamics model (Zhang et al., 2024) from cloth and shell simulation to volumetric finite elements, enabling an efficient level-of-detail (LOD) animation-design pipeline with predictive coarse-resolution previews facilitating rapid iterative design for a final, to-be-generated, high-resolution animation of volumetric elastodynamics. This extension to volumetric domains poses significant new challenges, including the construction of suitable mesh hierarchies and the definition of effective prolongation operators for codimension-0 progressive dynamics. To address these challenges, we propose a practical method for defining multiresolution hierarchies and, more importantly, introduce a simple yet effective topology-aware algorithm for constructing prolongation operators between overlapping (but not necessarily conforming) volumetric meshes. Our key insight is a boundary binding strategy that enables the computation of barycentric coordinates, allowing several off-the-shelf interpolants -- such as standard barycentric coordinates, Biharmonic Coordinates (Wang et al., 2015), and Phong Deformation (James, 2020) -- to serve as "plug-and-play" components for prolongation with minimal modification. We show that our progressive volumetric simulation framework achieves high-fidelity matching LOD animation across resolutions including challenging dynamics with high speeds, large deformations, and frictional contact. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_14177 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Progressing Level-of-Detail Animation of Volumetric Elastodynamics Zhang, Jiayi Eris James, Doug L. Kaufman, Danny M. Graphics We extend the progressive dynamics model (Zhang et al., 2024) from cloth and shell simulation to volumetric finite elements, enabling an efficient level-of-detail (LOD) animation-design pipeline with predictive coarse-resolution previews facilitating rapid iterative design for a final, to-be-generated, high-resolution animation of volumetric elastodynamics. This extension to volumetric domains poses significant new challenges, including the construction of suitable mesh hierarchies and the definition of effective prolongation operators for codimension-0 progressive dynamics. To address these challenges, we propose a practical method for defining multiresolution hierarchies and, more importantly, introduce a simple yet effective topology-aware algorithm for constructing prolongation operators between overlapping (but not necessarily conforming) volumetric meshes. Our key insight is a boundary binding strategy that enables the computation of barycentric coordinates, allowing several off-the-shelf interpolants -- such as standard barycentric coordinates, Biharmonic Coordinates (Wang et al., 2015), and Phong Deformation (James, 2020) -- to serve as "plug-and-play" components for prolongation with minimal modification. We show that our progressive volumetric simulation framework achieves high-fidelity matching LOD animation across resolutions including challenging dynamics with high speeds, large deformations, and frictional contact. |
| title | Progressing Level-of-Detail Animation of Volumetric Elastodynamics |
| topic | Graphics |
| url | https://arxiv.org/abs/2509.14177 |