Affiliation:
1. University of Waterloo, Canada
2. Waymo, USA
3. Columbia University, USA
Abstract
We present a unified method to simulate deformable elastic bodies consisting of mixed-dimensional components represented with potentially non-manifold simplicial meshes. Building on well-known simplicial rod, shell, and solid models for elastic continua, we categorize and define a comprehensive palette expressing all possible constraints and elastic energies for stiff and flexible connections between the 1D, 2D, and 3D components of a single conforming simplicial mesh. This palette consists of three categories: point connections, in which simplices meet at a single vertex around which they may twist and bend; curve connections in which simplices share an edge around which they may rotate (bend) relative to one another; and surface connections, in which a shell is embedded on or into a solid. To define elastic behaviors across non-manifold point connections, we adapt and apply parallel transport concepts from elastic rods. To address discontinuous forces that would otherwise arise when large accumulated relative rotations wrap around in the space of angles, we develop an incremental angle-update strategy. Our method provides a conceptually simple, flexible, and highly expressive framework for designing complex elastic objects, by modeling the geometry with a single simplicial mesh and decorating its elements with appropriate physical models (rod, shell, solid) and connection types (point, curve, surface). We demonstrate a diverse set of possible interactions achievable with our method, through technical and application examples, including scenes featuring complex aquatic creatures, children's toys, and umbrellas.
Publisher
Association for Computing Machinery (ACM)
Subject
Computer Graphics and Computer-Aided Design,Computer Science Applications
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. A Generalized Constitutive Model for Versatile MPM Simulation and Inverse Learning with Differentiable Physics;Proceedings of the ACM on Computer Graphics and Interactive Techniques;2023-08-16
2. Lifted Curls;Proceedings of the ACM on Computer Graphics and Interactive Techniques;2023-08-16
3. Voronoi Filters for Simulation Enrichment;Computer Graphics Forum;2022-12
4. A unified newton barrier method for multibody dynamics;ACM Transactions on Graphics;2022-07
5. Codimensional incremental potential contact;ACM Transactions on Graphics;2021-08-31